发布求助
文献互助 智能选刊 最新文献

Applicable Analysis and Discrete Mathematics最新文献

筛选
英文 中文
Euler sums of generalized harmonic numbers and connected extensions 广义调和数与连通扩展的欧拉和
IF 0.9 4区 数学
Applicable Analysis and Discrete Mathematics Pub Date : 2022-01-01 DOI: 10.2298/aadm210122014c
M. Can, L. Kargin, A. Dil, G. Soylu
{"title":"Euler sums of generalized harmonic numbers and connected extensions","authors":"M. Can, L. Kargin, A. Dil, G. Soylu","doi":"10.2298/aadm210122014c","DOIUrl":"https://doi.org/10.2298/aadm210122014c","url":null,"abstract":"This paper presents the evaluation of the Euler sums of generalized hyperharmonic numbers H(p,q)n ?H(p,q)(r) = ?Xn=1 H(p,q)n/nr in terms of the famous Euler sums of generalized harmonic numbers. Moreover, several infinite series, whose terms consist of certain harmonic numbers and reciprocal binomial coefficients, are evaluated in terms of the Riemann zeta values.","PeriodicalId":51232,"journal":{"name":"Applicable Analysis and Discrete Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68353667","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 3
Umbral operators for Cayley and Sylvester continuants Cayley和Sylvester连续体的本影操作员
IF 0.9 4区 数学
Applicable Analysis and Discrete Mathematics Pub Date : 2022-01-01 DOI: 10.2298/aadm200120037m
E. Munarini
{"title":"Umbral operators for Cayley and Sylvester continuants","authors":"E. Munarini","doi":"10.2298/aadm200120037m","DOIUrl":"https://doi.org/10.2298/aadm200120037m","url":null,"abstract":"We study the main umbral operators J, M and N associated with the Cayley continuants U(?)n(x) and the generalized Sylvester continuants H(?)n(x) = U(?+n)n(x). In particular, we obtain their representation in terms of the differential operator Dx and the shift operator E. Then, by using these representations, we obtain some combinatorial and differential identities for the continuants U(?)n(x) and H(?)n(x).","PeriodicalId":51232,"journal":{"name":"Applicable Analysis and Discrete Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68353308","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Counting subword patterns in permutations arising as flattened partitions of sets 计算作为集合的扁平分区产生的排列中的子词模式
IF 0.9 4区 数学
Applicable Analysis and Discrete Mathematics Pub Date : 2022-01-01 DOI: 10.2298/aadm210223009m
T. Mansour, M. Shattuck
{"title":"Counting subword patterns in permutations arising as flattened partitions of sets","authors":"T. Mansour, M. Shattuck","doi":"10.2298/aadm210223009m","DOIUrl":"https://doi.org/10.2298/aadm210223009m","url":null,"abstract":"We consider various statistics on the set Fn consisting of the distinct permutations of length n+1 that arise as a flattening of some partition of the same size. In particular, we enumerate members of Fn according to the number of occurrences of three-letter consecutive patterns, considered more broadly in the context of r-partitions. As special cases of our results, we obtain formulas for the number of members of Fn avoiding a given consecutive pattern and for the total number of occurrences of a pattern over all members of Fn.","PeriodicalId":51232,"journal":{"name":"Applicable Analysis and Discrete Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68353680","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
A q-Dirac boundary value problem with eigenparameter-dependent boundary conditions 具有特征参数相关边界条件的q-Dirac边值问题
IF 0.9 4区 数学
Applicable Analysis and Discrete Mathematics Pub Date : 2022-01-01 DOI: 10.2298/aadm220323036b
M. Bohner, Ayça Çetinkaya
{"title":"A q-Dirac boundary value problem with eigenparameter-dependent boundary conditions","authors":"M. Bohner, Ayça Çetinkaya","doi":"10.2298/aadm220323036b","DOIUrl":"https://doi.org/10.2298/aadm220323036b","url":null,"abstract":"We study a boundary value problem for the q-Dirac equation and eigenvalue-dependent boundary conditions. We introduce a self-adjoint operator in a suitable Hilbert space and illustrate the boundary value problem as a spectral problem for this operator. We investigate the properties of the eigenvalues and vector-valued eigenfunctions. We construct Green?s function.","PeriodicalId":51232,"journal":{"name":"Applicable Analysis and Discrete Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68354195","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 1
An equivalent property of a Hilbert-type integral inequality and its applications hilbert型积分不等式的等价性质及其应用
IF 0.9 4区 数学
Applicable Analysis and Discrete Mathematics Pub Date : 2022-01-01 DOI: 10.2298/aadm220514025y
B. Yang, D. Andrica, O. Bagdasar, M. Rassias
{"title":"An equivalent property of a Hilbert-type integral inequality and its applications","authors":"B. Yang, D. Andrica, O. Bagdasar, M. Rassias","doi":"10.2298/aadm220514025y","DOIUrl":"https://doi.org/10.2298/aadm220514025y","url":null,"abstract":"Making use of complex analytic techniques as well as methods involving weight functions, we study a few equivalent conditions of a Hilbert-type integral inequality with nonhomogeneous kernel and parameters. In the form of applications we deduce a few equivalent conditions of a Hilbert-type integral inequality with homogeneous kernel, and we additionally consider operator expressions.","PeriodicalId":51232,"journal":{"name":"Applicable Analysis and Discrete Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68354284","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 1
A Bernstein-Schnabl type operator: Applications to difference equations Bernstein-Schnabl型算子:在差分方程中的应用
IF 0.9 4区 数学
Applicable Analysis and Discrete Mathematics Pub Date : 2022-01-01 DOI: 10.2298/aadm210714011a
A. Acu, M. Dancs, M. Heilmann, Vlad Paşca, I. Raşa
{"title":"A Bernstein-Schnabl type operator: Applications to difference equations","authors":"A. Acu, M. Dancs, M. Heilmann, Vlad Paşca, I. Raşa","doi":"10.2298/aadm210714011a","DOIUrl":"https://doi.org/10.2298/aadm210714011a","url":null,"abstract":"We consider a sequence of positive linear operators Ln of Bernstein-Schnabl type. It was studied in the literature from various points of view; we provide new properties of it. The eigenstructure of these operators is described. We investigate the kernel of Ln which is related with the set of solutions of a difference equation. Several algorithms are proposed in order to solve the involved problems.","PeriodicalId":51232,"journal":{"name":"Applicable Analysis and Discrete Mathematics","volume":"420 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68353905","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 1
Some general Wilker-Huygens inequalities 一些一般的Wilker-Huygens不等式
IF 0.9 4区 数学
Applicable Analysis and Discrete Mathematics Pub Date : 2022-01-01 DOI: 10.2298/aadm210518032z
Tie-hong Zhao, Yu‐ming Chu
{"title":"Some general Wilker-Huygens inequalities","authors":"Tie-hong Zhao, Yu‐ming Chu","doi":"10.2298/aadm210518032z","DOIUrl":"https://doi.org/10.2298/aadm210518032z","url":null,"abstract":"In this paper, we provide a systematic way to study on some general Wilker-Huygens type inequalities for the trigonometric and hyperbolic functions, lemniscate and hyperbolic lemniscate functions, and their corresponding inverse functions. Our results are some extensions and refinements of the recently published results in [A. Mhanna, On a general Huygens-Wilker inequality, Appl. Math. E.-Notes, 20 (2020), 79-81; MR4076436], and improve many previous results involving Wilker-Huygens type inequalities.","PeriodicalId":51232,"journal":{"name":"Applicable Analysis and Discrete Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68353821","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 1
Note on an inequality of M.A. Malik 马立克的一个不等式注释
IF 0.9 4区 数学
Applicable Analysis and Discrete Mathematics Pub Date : 2022-01-01 DOI: 10.2298/aadm210529030m
A. Mir, Abrar Ahmad, A. Malik
{"title":"Note on an inequality of M.A. Malik","authors":"A. Mir, Abrar Ahmad, A. Malik","doi":"10.2298/aadm210529030m","DOIUrl":"https://doi.org/10.2298/aadm210529030m","url":null,"abstract":"Let P(z):= ?nv=0 avzv be a univariate complex coefficient polynomial of degree n. It was shown by Malik [J London Math Soc, 1 (1969), 57-60] that if P(z) has all its zeros in |z| ? k, k ? 1, then max|z|=1 |P?(z)| ? n 1 + k max |z|=1 |P(z)|. In this paper, we prove an inequality for the polar derivative of a polynomial which besides give extensions and refinements of the above inequality also produce various inequalities that are sharper than the previous ones known in very rich literature on this subject.","PeriodicalId":51232,"journal":{"name":"Applicable Analysis and Discrete Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68353843","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Refinements of Huygens-Wilker-Lazarovic inequalities via the hyperbolic cosine polynomials 双曲余弦多项式对Huygens-Wilker-Lazarovic不等式的改进
IF 0.9 4区 数学
Applicable Analysis and Discrete Mathematics Pub Date : 2022-01-01 DOI: 10.2298/aadm200403004b
G. Bercu
{"title":"Refinements of Huygens-Wilker-Lazarovic inequalities via the hyperbolic cosine polynomials","authors":"G. Bercu","doi":"10.2298/aadm200403004b","DOIUrl":"https://doi.org/10.2298/aadm200403004b","url":null,"abstract":"The aim of this paper is to provide new refinements of Huygens-Wilker-Lazarovic inequalities using hyperbolic cosine polynomials. We give an unitary approach for both inequalities of trigonometric and hyperbolic functions.","PeriodicalId":51232,"journal":{"name":"Applicable Analysis and Discrete Mathematics","volume":"95 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68353494","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
A non-negative integer-valued model: Estimation, count regression and practical examples 非负整数值模型:估计、计数回归及实例
IF 0.9 4区 数学
Applicable Analysis and Discrete Mathematics Pub Date : 2022-01-01 DOI: 10.2298/aadm210114029b
H. Bakouch, K. Karakaya, C. Chesneau, Y. Akdoğan
{"title":"A non-negative integer-valued model: Estimation, count regression and practical examples","authors":"H. Bakouch, K. Karakaya, C. Chesneau, Y. Akdoğan","doi":"10.2298/aadm210114029b","DOIUrl":"https://doi.org/10.2298/aadm210114029b","url":null,"abstract":"In this study, we propose a non-negative integer-valued model based on the sum of Poisson-Lindley and geometric distributions. We show that it corresponds to the weighted geometric distribution and also a special mixture of two negative binomial distributions with certain parameters. The main statistical properties of the new distribution are studied comprehensively, including estimation of the model parameter. A new count regression analysis is introduced by using the new distribution. Finally, we provide some applications on practical data sets.","PeriodicalId":51232,"journal":{"name":"Applicable Analysis and Discrete Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68354077","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
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