发布求助
文献互助 智能选刊 最新文献

Afrika Matematika最新文献

筛选
英文 中文
Certain properties of 3D degenerate generalized Fubini polynomials and applications 三维退化广义富比尼多项式的某些性质及其应用
IF 0.9
Afrika Matematika Pub Date : 2024-04-13 DOI: 10.1007/s13370-024-01187-4
Mumtaz Riyasat, Amal S. Alali, Subuhi Khan
{"title":"Certain properties of 3D degenerate generalized Fubini polynomials and applications","authors":"Mumtaz Riyasat,&nbsp;Amal S. Alali,&nbsp;Subuhi Khan","doi":"10.1007/s13370-024-01187-4","DOIUrl":"10.1007/s13370-024-01187-4","url":null,"abstract":"<div><p>A renewed interest in combinatorial and arithmetic properties as well as applications to differential equations, identities, formulas, and probability theory has been sparked by the study of degenerate versions of several specific numbers and polynomials. The article aims to explore a 3D unified degenerate class of generalized Fubini polynomials by utilizing 2D generalized degenerate polynomials. The potential of applications are provided by deriving certain computational formulas and identities,recurrence relations and derivative expressions for the 3D degenerated Gould–Hopper–Fubini, 3D degenerate Hermite-Fubini and 3D degenerate 2-iterated Fubini polynomials, which are extracted out of the 3D degenerate generalized Fubini polynomials. Finally, the behaviour of zeros of two concrete degenerate polynomials with some specific set of parameters is shown by drawing graphs using Mathematica</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"35 2","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142411575","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Inequalities involving the harmonic-arithmetic index 涉及谐波算术指数的不等式
IF 0.9
Afrika Matematika Pub Date : 2024-04-11 DOI: 10.1007/s13370-024-01183-8
Akbar Ali, Emina Milovanović, Stefan Stankov, Marjan Matejić, Igor Milovanović
{"title":"Inequalities involving the harmonic-arithmetic index","authors":"Akbar Ali,&nbsp;Emina Milovanović,&nbsp;Stefan Stankov,&nbsp;Marjan Matejić,&nbsp;Igor Milovanović","doi":"10.1007/s13370-024-01183-8","DOIUrl":"10.1007/s13370-024-01183-8","url":null,"abstract":"<div><p>Let <i>G</i> be a simple graph with vertex set <span>(V={v_{1},v_{2},ldots ,v_{n}})</span>. The notion <span>(isim j)</span> is used to indicate that the vertices <span>(v_{i})</span> and <span>(v_{j})</span> of <i>G</i> are adjacent. For a vertex <span>(v_{i}in V)</span>, let <span>(d_{i})</span> be the degree of <span>(v_{i})</span>. The harmonic-arithmetic (HA) index of <i>G</i> is defined as <span>(HA(G) =sum _{isim j} 4d_id_j(d_i+d_j)^{-2})</span>. In this paper, a considerable number of inequalities involving the HA index and other topological indices are derived. For every obtained inequality, all the graphs that satisfy the equality case are also characterized.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"35 2","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140713886","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On inequalities for A-Berezin radius of operators 论算子 A-Berezin 半径的不等式
IF 0.9
Afrika Matematika Pub Date : 2024-04-10 DOI: 10.1007/s13370-024-01186-5
Mehmet Gürdal, Hamdullah Başaran
{"title":"On inequalities for A-Berezin radius of operators","authors":"Mehmet Gürdal,&nbsp;Hamdullah Başaran","doi":"10.1007/s13370-024-01186-5","DOIUrl":"10.1007/s13370-024-01186-5","url":null,"abstract":"<div><p>We compute certain inequalities for <i>B</i>-Berezin radius of <span>(2times 2)</span> operator matrices in the study that generalize and refine earlier inequalities. Furthermore, we construct <i>A</i>-Berezin radius inequalities of operators in <span>(mathbb {B}_{A,Upsilon }(mathcal {H}))</span> that improve on the current inequalities in Huban (Turk J Math 46(1):189–206, 2022). In addition, we establish <i>A</i>-Berezin radius bounds for sum of product of operators in <span>(mathbb {B}_{A,Upsilon } (mathcal {H}),)</span> which improve on the previous bounds.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"35 2","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140718833","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On entire solutions of Fermat type difference and kth order partial differential difference equations in several complex variables 论费马型差分方程和 kth 阶偏微分差分方程在多个复变量中的全解
IF 0.9
Afrika Matematika Pub Date : 2024-04-10 DOI: 10.1007/s13370-024-01188-3
Goutam Haldar, Abhijit Banerjee
{"title":"On entire solutions of Fermat type difference and kth order partial differential difference equations in several complex variables","authors":"Goutam Haldar,&nbsp;Abhijit Banerjee","doi":"10.1007/s13370-024-01188-3","DOIUrl":"10.1007/s13370-024-01188-3","url":null,"abstract":"<div><p>In this paper, we investigate the existence and specific form of finite order transcendental entire solutions of certain equations including a Fermat-type functional first-order linear difference equation in <span>(mathbb {C}^n)</span>, <span>(ngeqslant 2)</span> and a <i>k</i>th order partial differential difference equation in <span>(mathbb {C}^2)</span>. The paper builds upon the previous works of Xu and Cao (Mediterr J Math 15:1–14, 2018; Mediterr J Math 17:1–4, 2020) and Haldar (Mediterr J Math 20: 50, 2023) whose results are extended and further developed in this study. We exhibit several examples to demonstrate the precision and applicability of our results to illustrate how our findings can be utilized in different scenarios or problem contexts. Towards the end of the paper, in the last section, we discuss some relevant questions that have emerged from one of the examples in the paper which also suggest potential directions for further research.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"35 2","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140716841","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Some fixed point results for countably condensing mappings 可数凝聚映射的一些定点结果
IF 0.9
Afrika Matematika Pub Date : 2024-04-09 DOI: 10.1007/s13370-024-01178-5
Mohamed Yassin Abdallah, Khalid Latrach
{"title":"Some fixed point results for countably condensing mappings","authors":"Mohamed Yassin Abdallah,&nbsp;Khalid Latrach","doi":"10.1007/s13370-024-01178-5","DOIUrl":"10.1007/s13370-024-01178-5","url":null,"abstract":"<div><p>In this paper we establish some fixed point results for continuous countably condensing maps. We derive results of Altman’s type, Leray-Schauder’s type, Krasnosel’skii’s type and Krasnoselskii-Schafer’s type. One of the main tools in our analysis is a result due to S. J. Daher (Theorem 2.1). We conclude the paper by discussing existence results for a nonlinear Volterra integral equation.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"35 2","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140727729","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A survey on topological structures on fuzzy rough sets 模糊粗糙集拓扑结构概览
IF 0.9
Afrika Matematika Pub Date : 2024-04-08 DOI: 10.1007/s13370-024-01181-w
Virendra Kumar, Surabhi Tiwari
{"title":"A survey on topological structures on fuzzy rough sets","authors":"Virendra Kumar,&nbsp;Surabhi Tiwari","doi":"10.1007/s13370-024-01181-w","DOIUrl":"10.1007/s13370-024-01181-w","url":null,"abstract":"<div><p>Fuzzy rough set theory gives a mathematical tool for studying unsettled knowledge that is beclouded, inexact, and mutually exclusive. The perception and conclusions of fuzzy rough sets theory are inextricably linked to topological perception. The topological appearance and its applications in fuzzy rough sets theory have been extensively discussed by researchers. The underlying subordinate of topology and classic fuzzy rough sets theory, as well as the expressive work done in this area over the previous years, are highlighted in this research.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"35 2","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140728372","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A note on the compactness of the resolvent of the age-diffusion operator 关于年龄扩散算子解析量紧凑性的说明
IF 0.9
Afrika Matematika Pub Date : 2024-04-06 DOI: 10.1007/s13370-024-01179-4
Christoph Walker
{"title":"A note on the compactness of the resolvent of the age-diffusion operator","authors":"Christoph Walker","doi":"10.1007/s13370-024-01179-4","DOIUrl":"10.1007/s13370-024-01179-4","url":null,"abstract":"<div><p>The generator of the semigroup associated with linear age-structured population models including spatial diffusion is shown to have compact resolvent.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"35 2","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13370-024-01179-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142410115","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On some efficient logarithmic type estimators under stratified ranked set sampling 论分层排序集合抽样下的一些高效对数型估计器
IF 0.9
Afrika Matematika Pub Date : 2024-04-05 DOI: 10.1007/s13370-024-01180-x
Shashi Bhushan, Anoop Kumar
{"title":"On some efficient logarithmic type estimators under stratified ranked set sampling","authors":"Shashi Bhushan,&nbsp;Anoop Kumar","doi":"10.1007/s13370-024-01180-x","DOIUrl":"10.1007/s13370-024-01180-x","url":null,"abstract":"<div><p>This paper investigates the performance of combined and separate log type class of estimators of population mean under stratified ranked set sampling. The expressions of bias and mean square error of the proposed estimators are deduced. The theoretical comparison of the proposed estimators with the existing estimators is carried out and the efficiency conditions are reported. The credibility of theoretical results is extended by a simulation study conducted over various artificially generated symmetric and asymmetric populations. The results of the simulation study show that the proposed class of estimators dominate the well-known existing estimators.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"35 2","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140736633","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Some results on generalized Cesàro stable of Janowski function 关于扬诺夫斯基函数广义塞萨罗稳定的一些结果
IF 0.9
Afrika Matematika Pub Date : 2024-04-05 DOI: 10.1007/s13370-024-01182-9
M. P. Jeyaraman, T. G. Bhaskar
{"title":"Some results on generalized Cesàro stable of Janowski function","authors":"M. P. Jeyaraman,&nbsp;T. G. Bhaskar","doi":"10.1007/s13370-024-01182-9","DOIUrl":"10.1007/s13370-024-01182-9","url":null,"abstract":"<div><p>Let <span>(g_1)</span> and <span>(g_2 )</span> be any two analytic functions defined in the unit disc which are normalized by the condition <span>(g_1(0)=1=g_2(0))</span> and <span>(sigma _n^{b-1,c}(z))</span> be the <i>n</i> <i>th</i> Cesàro mean of type <span>((b-1,c))</span> for <span>(1+b&gt;c&gt;0)</span>. Then <span>(g_1)</span> is generalized Cesàro stable with respect to <span>(g_2)</span>, whenever </p><div><div><span>$$begin{aligned} dfrac{sigma _n^{b-1,c}(g_1,z)}{g_1(z)}prec dfrac{1}{g_2(z)}quad (z in Delta , n in mathbb {N}_0), end{aligned}$$</span></div></div><p>where <span>(sigma _n^{b-1,c}(g,z) = dfrac{1}{B_n} sum _{j=0}^{n} B_{n-j} b_j z^j = sigma _n^{b-1,c}(z) * g(z))</span>. The main aim of this article is to prove that <span>(left( {(Az+1)}/{(Bz+1)}right) ^eta )</span> is generalized Cesàro stable with respect to <span>((1/(Bz+1)^{eta }))</span> but not with respect to itself for <span>(-1 le B &lt; A le 0)</span> and <span>(0&lt;eta le 1)</span>. As an application, we obtain new and existing results on Cesàro stability and stability.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"35 2","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140739872","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
New sharp bounds for sinc and hyperbolic sinc functions via cos and cosh functions 通过 cos 和 cosh 函数实现 sinc 和双曲 sinc 函数的新锐边界
IF 0.9
Afrika Matematika Pub Date : 2024-04-05 DOI: 10.1007/s13370-024-01185-6
Duong Quoc Huy, Phan Trung Hieu, Doan Thi Thuy Van
{"title":"New sharp bounds for sinc and hyperbolic sinc functions via cos and cosh functions","authors":"Duong Quoc Huy,&nbsp;Phan Trung Hieu,&nbsp;Doan Thi Thuy Van","doi":"10.1007/s13370-024-01185-6","DOIUrl":"10.1007/s13370-024-01185-6","url":null,"abstract":"<div><p>In this paper, we give some new sharp bounds for sinc and hyperbolic sinc functions via cosine and hyperbolic cosine functions, which these bounds refine or improve most of recent published results.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"35 2","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140738708","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
首页 上一页 下一页 尾页
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