发布求助
文献互助 智能选刊 最新文献

Demonstratio Mathematica最新文献

筛选
英文 中文
On I. Meghea and C. S. Stamin review article “Remarks on some variants of minimal point theorem and Ekeland variational principle with applications,” Demonstratio Mathematica 2022; 55: 354–379 关于I. Meghea和C. S. Stamin对《极小点定理和Ekeland变分原理的若干变体及其应用的评述》，《数学演示》，2022;55岁:354 - 379
3区 数学
Demonstratio Mathematica Pub Date : 2023-01-01 DOI: 10.1515/dema-2023-0102
Alfred Göpfert, Christiane Tammer, Constantin Zălinescu
{"title":"On I. Meghea and C. S. Stamin review article “Remarks on some variants of minimal point theorem and Ekeland variational principle with applications,” Demonstratio Mathematica 2022; 55: 354–379","authors":"Alfred Göpfert, Christiane Tammer, Constantin Zălinescu","doi":"10.1515/dema-2023-0102","DOIUrl":"https://doi.org/10.1515/dema-2023-0102","url":null,"abstract":"Abstract Being informed that one of our articles is cited in the paper mentioned in the title, we downloaded it, and we were surprised to see that, practically, all the results from our paper were reproduced in Section 3 of Meghea and Stamin’s article. Having in view the title of the article, one is tempted to think that the remarks mentioned in the paper are original and there are examples given as to where and how (at least) some of the reviewed results are effectively applied. Unfortunately, a closer look shows that most of those remarks in Section 3 are, in fact, extracted from our article, and it is not shown how a specific result is used in a certain application. So, our aim in the present note is to discuss the content of Section 3 of Meghea and Stamin’s paper, emphasizing their Remark 8, in which it is asserted that the proof of Lemma 7 in our article is “full of errors.”","PeriodicalId":10995,"journal":{"name":"Demonstratio Mathematica","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135912979","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Approximation spaces inspired by subset rough neighborhoods with applications 子集粗糙邻域启发的逼近空间及其应用
IF 2 3区 数学
Demonstratio Mathematica Pub Date : 2023-01-01 DOI: 10.1515/dema-2022-0223
T. Al-shami, A. Mhemdi
{"title":"Approximation spaces inspired by subset rough neighborhoods with applications","authors":"T. Al-shami, A. Mhemdi","doi":"10.1515/dema-2022-0223","DOIUrl":"https://doi.org/10.1515/dema-2022-0223","url":null,"abstract":"Abstract In this manuscript, we first generate topological structures by subset neighborhoods and ideals and apply to establish some generalized rough-set models. Then, we present other types of generalized rough-set models directly defined by the concepts of subset neighborhoods and ideals. We explore the main characterizations of the proposed approximation spaces and compare them in terms of approximation operators and accuracy measures. The obtained results and given examples show that the second type of the proposed approximation spaces is better than the first one in cases of u u and ⟨ u ⟩ langle urangle , whereas the relationships between the rest of the six cases are posted as an open question. Moreover, we demonstrate the advantages of the current models to decrease the upper approximation and increase the lower approximation compared to the existing approaches in published literature. Algorithms and a flow chart are given to illustrate how the exact and rough sets are determined for each approach. Finally, we analyze the information system of dengue fever to confirm the efficiency of our approaches to maximize the value of accuracy and shrink the boundary regions.","PeriodicalId":10995,"journal":{"name":"Demonstratio Mathematica","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49402220","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
On the order of approximation by modified summation-integral-type operators based on two parameters 基于两参数的修正求和积分型算子的逼近阶
IF 2 3区 数学
Demonstratio Mathematica Pub Date : 2023-01-01 DOI: 10.1515/dema-2022-0182
S. A. Mohiuddine, Karunesh Singh, Abdullah Alotaibi
{"title":"On the order of approximation by modified summation-integral-type operators based on two parameters","authors":"S. A. Mohiuddine, Karunesh Singh, Abdullah Alotaibi","doi":"10.1515/dema-2022-0182","DOIUrl":"https://doi.org/10.1515/dema-2022-0182","url":null,"abstract":"Abstract In this article, we the study generalized family of positive linear operators based on two parameters, which are a broad family of many well-known linear positive operators, e.g., Baskakov-Durrmeyer, Baskakov-Szász, Szász-Beta, Lupaş-Beta, Lupaş-Szász, genuine Bernstein-Durrmeyer, and Pǎltǎnea. We first find direct estimates in terms of the second-order modulus of continuity, then we find an estimate of error in the Ditzian-Totik modulus of smoothness. Then we discuss the rate of approximation for functions in the Lipschitz class. Furthermore, we study the pointwise Grüss-Voronovskaja-type result and also establish the Grüss-Voronovskaja-type asymptotic formula in quantitative form.","PeriodicalId":10995,"journal":{"name":"Demonstratio Mathematica","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42506467","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 6
Compositions of positive integers with 2s and 3s 正整数与2s和3s的组合
IF 2 3区 数学
Demonstratio Mathematica Pub Date : 2023-01-01 DOI: 10.1515/dema-2022-0227
Orhan Dişkaya, H. Menken
{"title":"Compositions of positive integers with 2s and 3s","authors":"Orhan Dişkaya, H. Menken","doi":"10.1515/dema-2022-0227","DOIUrl":"https://doi.org/10.1515/dema-2022-0227","url":null,"abstract":"Abstract In this article, we consider compositions of positive integers with 2s and 3s. We see that these compositions lead us to results that involve Padovan numbers, and we give some tiling models of these compositions. Moreover, we examine some tiling models of the compositions related to the Padovan polynomials and prove some identities using the tiling model’s method. Next, we obtain various identities of the compositions of positive integers with 2s and 3s related to the Padovan numbers. The number of palindromic compositions of this type is determined, and some numerical arithmetic functions are defined. Finally, we provide a table that compares all of the results obtained from compositions of positive integers with 2s and 3s.","PeriodicalId":10995,"journal":{"name":"Demonstratio Mathematica","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41718598","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Asymptotic study of Leray solution of 3D-Navier-Stokes equations with exponential damping 具有指数阻尼的三维Navier-Stokes方程Leray解的渐近研究
IF 2 3区 数学
Demonstratio Mathematica Pub Date : 2023-01-01 DOI: 10.1515/dema-2022-0208
Mongi Blel, J. Benameur
{"title":"Asymptotic study of Leray solution of 3D-Navier-Stokes equations with exponential damping","authors":"Mongi Blel, J. Benameur","doi":"10.1515/dema-2022-0208","DOIUrl":"https://doi.org/10.1515/dema-2022-0208","url":null,"abstract":"Abstract We study the uniqueness, the continuity in L 2 {L}^{2} , and the large time decay for the Leray solutions of the 3D incompressible Navier-Stokes equations with the nonlinear exponential damping term a ( e b ∣ u ∣ 2 − 1 ) u aleft({e}^{b| u{| }^{{bf{2}}}}-1)u , ( a , b > 0 a,bgt 0 ).","PeriodicalId":10995,"journal":{"name":"Demonstratio Mathematica","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49554098","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Duality for convolution on subclasses of analytic functions and weighted integral operators 解析函数和加权积分算子子类上卷积的对偶性
IF 2 3区 数学
Demonstratio Mathematica Pub Date : 2023-01-01 DOI: 10.1515/dema-2022-0168
E. Amini, M. Fardi, S. Al-Omari, K. Nonlaopon
{"title":"Duality for convolution on subclasses of analytic functions and weighted integral operators","authors":"E. Amini, M. Fardi, S. Al-Omari, K. Nonlaopon","doi":"10.1515/dema-2022-0168","DOIUrl":"https://doi.org/10.1515/dema-2022-0168","url":null,"abstract":"Abstract In this article, we investigate a class of analytic functions defined on the unit open disc U = { z : ∣ z ∣ < 1 } {mathcal{U}}=left{z:| z| lt 1right} , such that for every f ∈ P α ( β , γ ) fin {{mathcal{P}}}_{alpha }left(beta ,gamma ) , α > 0 alpha gt 0 , 0 ≤ β ≤ 1 0le beta le 1 , 0 < γ ≤ 1 0lt gamma le 1 , and ∣ z ∣ < 1 | z| lt 1 , the inequality Re f ′ ( z ) + 1 − γ α γ z f ″ ( z ) − β 1 − β > 0 {rm{Re}}left{frac{f^{prime} left(z)+frac{1-gamma }{alpha gamma }z{f}^{^{primeprime} }left(z)-beta }{1-beta }right}gt 0 holds. We find conditions on the numbers α , β alpha ,beta , and γ gamma such that P α ( β , γ ) ⊆ S P ( λ ) {{mathcal{P}}}_{alpha }left(beta ,gamma )subseteq SPleft(lambda ) , for λ ∈ ( − π 2 , π 2 ) lambda in left(-frac{pi }{2},frac{pi }{2}) , where S P ( λ ) SPleft(lambda ) denotes the set of all λ lambda -spirallike functions. We also make use of Ruscheweyh’s duality theory to derive conditions on the numbers α , β , γ alpha ,beta ,gamma and the real-valued function φ varphi so that the integral operator V φ ( f ) {V}_{varphi }(f) maps the set P α ( β , γ ) {{mathcal{P}}}_{alpha }left(beta ,gamma ) into the set S P ( λ ) SPleft(lambda ) , provided φ varphi is non-negative normalized function ( ∫ 0 1 φ ( t ) d t = 1 ) left({int }_{0}^{1}varphi left(t){rm{d}}t=1) and V φ ( f ) ( z ) = ∫ 0 1 φ ( t ) f ( t z ) t d t . {V}_{varphi }(f)left(z)=underset{0}{overset{1}{int }}varphi left(t)frac{fleft(tz)}{t}{rm{d}}t.","PeriodicalId":10995,"journal":{"name":"Demonstratio Mathematica","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48766088","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Some identities on generalized harmonic numbers and generalized harmonic functions 广义调和数与广义调和函数的若干恒等式
IF 2 3区 数学
Demonstratio Mathematica Pub Date : 2022-12-30 DOI: 10.1515/dema-2022-0229
Dae San Kim, H. Kim, Taekyun Kim
{"title":"Some identities on generalized harmonic numbers and generalized harmonic functions","authors":"Dae San Kim, H. Kim, Taekyun Kim","doi":"10.1515/dema-2022-0229","DOIUrl":"https://doi.org/10.1515/dema-2022-0229","url":null,"abstract":"Abstract The harmonic numbers and generalized harmonic numbers appear frequently in many diverse areas such as combinatorial problems, many expressions involving special functions in analytic number theory, and analysis of algorithms. The aim of this article is to derive some identities involving generalized harmonic numbers and generalized harmonic functions from the beta functions F n ( x ) = B ( x + 1 , n + 1 ) , ( n = 0 , 1 , 2 , … ) {F}_{n}left(x)=Bleft(x+1,n+1),left(n=0,1,2,ldots ) using elementary methods. For instance, we show that the Hurwitz zeta function ζ ( x + 1 , r ) zeta left(x+1,r) and r ! r! are expressed in terms of those numbers and functions, for every r = 2 , 3 , 4 , 5 r=2,3,4,5 .","PeriodicalId":10995,"journal":{"name":"Demonstratio Mathematica","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2022-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41775430","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Fully degenerate Bernoulli numbers and polynomials 完全退化伯努利数和多项式
IF 2 3区 数学
Demonstratio Mathematica Pub Date : 2022-01-01 DOI: 10.1515/dema-2022-0160
Taekyun Kim, Dae San Kim, Jin-Woo Park
{"title":"Fully degenerate Bernoulli numbers and polynomials","authors":"Taekyun Kim, Dae San Kim, Jin-Woo Park","doi":"10.1515/dema-2022-0160","DOIUrl":"https://doi.org/10.1515/dema-2022-0160","url":null,"abstract":"Abstract The aim of this article is to study the fully degenerate Bernoulli polynomials and numbers, which are a degenerate version of Bernoulli polynomials and numbers and arise naturally from the Volkenborn integral of the degenerate exponential functions on Z p {{mathbb{Z}}}_{p} . We find some explicit expressions for the fully degenerate Bernoulli polynomials and numbers in terms of the degenerate Stirling numbers of the second kind, the degenerate r r -Stirling numbers of the second kind, and the degenerate Stirling polynomials. We also consider the degenerate poly-Bernoulli polynomials and derive explicit representations for them in terms of the same degenerate Stirling numbers and polynomials.","PeriodicalId":10995,"journal":{"name":"Demonstratio Mathematica","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44954720","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Approximation of integrable functions by general linear matrix operators of their Fourier series 用傅立叶级数的一般线性矩阵算子逼近可积函数
IF 2 3区 数学
Demonstratio Mathematica Pub Date : 2022-01-01 DOI: 10.1515/dema-2022-0009
V. Mishra, W. Łenski, B. Szal
{"title":"Approximation of integrable functions by general linear matrix operators of their Fourier series","authors":"V. Mishra, W. Łenski, B. Szal","doi":"10.1515/dema-2022-0009","DOIUrl":"https://doi.org/10.1515/dema-2022-0009","url":null,"abstract":"Abstract The pointwise estimates of the deviation T n , A f ( ⋅ ) − f ( ⋅ ) {T}_{n,A}f(cdot )-fleft(cdot ) in terms of pointwise moduli of continuity based on the points of differentiability of indefinite integral of f f , with application of the rth differences of the entries of A A , are proved. The similar results in case of the Lebesgue points are considered, too. Analogical results on norm approximation with remarks and corollaries are also given.","PeriodicalId":10995,"journal":{"name":"Demonstratio Mathematica","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49636939","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Infinitely many solutions for quasilinear Schrödinger equations with sign-changing nonlinearity without the aid of 4-superlinear at infinity 无4-超线性在无穷远处的变符号非线性拟线性Schrödinger方程的无穷多解
IF 2 3区 数学
Demonstratio Mathematica Pub Date : 2022-01-01 DOI: 10.1515/dema-2022-0169
M. Khiddi, L. Essafi
{"title":"Infinitely many solutions for quasilinear Schrödinger equations with sign-changing nonlinearity without the aid of 4-superlinear at infinity","authors":"M. Khiddi, L. Essafi","doi":"10.1515/dema-2022-0169","DOIUrl":"https://doi.org/10.1515/dema-2022-0169","url":null,"abstract":"Abstract In this article, we will prove the existence of infinitely many solutions for a class of quasilinear Schrödinger equations without assuming the 4-superlinear at infinity on the nonlinearity. We achieve our goal by using the Fountain theorem.","PeriodicalId":10995,"journal":{"name":"Demonstratio Mathematica","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42693140","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
首页 上一页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信