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Multi-dimensional Weyl almost periodic type functions and applications 多维Weyl几乎周期型函数及其应用
4区 数学
Applicable Analysis and Discrete Mathematics Pub Date : 2023-01-01 DOI: 10.2298/aadm221130016k
Marko Kostic, Vladimir Fedorov
{"title":"Multi-dimensional Weyl almost periodic type functions and applications","authors":"Marko Kostic, Vladimir Fedorov","doi":"10.2298/aadm221130016k","DOIUrl":"https://doi.org/10.2298/aadm221130016k","url":null,"abstract":"In this paper, we analyze multi-dimensional Weyl almost periodic type functions in Lebesgue spaces with variable exponents. The introduced classes seem to be new and not considered elsewhere even in the constant coefficient case. We provide certain applications to the abstract Volterra integrodifferential equations in Banach spaces.","PeriodicalId":51232,"journal":{"name":"Applicable Analysis and Discrete Mathematics","volume":"35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136202767","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: 5
Series expansions for powers of sinc function and closed-form expressions for specific partial bell polynomials sinc函数幂的级数展开式和特定部分钟多项式的封闭表达式
4区 数学
Applicable Analysis and Discrete Mathematics Pub Date : 2023-01-01 DOI: 10.2298/aadm230902020q
Feng Qi, Peter Taylor
{"title":"Series expansions for powers of sinc function and closed-form expressions for specific partial bell polynomials","authors":"Feng Qi, Peter Taylor","doi":"10.2298/aadm230902020q","DOIUrl":"https://doi.org/10.2298/aadm230902020q","url":null,"abstract":"In the paper, with the aid of the Fa? di Bruno formula, in terms of the central factorial numbers and the Stirling numbers of the second kinds, the authors derive several series expansions for any positive integer powers of the sinc and sinhc functions, discover several closed-form expressions for partial Bell polynomials of all derivatives of the sinc function, establish several series expansions for any real powers of the sinc and sinhc functions, and present several identities for central factorial numbers of the second kind and for the Stirling numbers of the second kind.","PeriodicalId":51232,"journal":{"name":"Applicable Analysis and Discrete Mathematics","volume":"40 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136201893","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: 4
Modification exponential Euler type splines derived from Apostol-Euler numbers and polynomials of complex order 由apostoll -Euler数和复阶多项式导出的修正指数欧拉样条
IF 0.9 4区 数学
Applicable Analysis and Discrete Mathematics Pub Date : 2023-01-01 DOI: 10.2298/aadm220712011g
Damla Gun, Y. Simsek
{"title":"Modification exponential Euler type splines derived from Apostol-Euler numbers and polynomials of complex order","authors":"Damla Gun, Y. Simsek","doi":"10.2298/aadm220712011g","DOIUrl":"https://doi.org/10.2298/aadm220712011g","url":null,"abstract":"The purpose of this paper is to give formulas and Recurrence relations for the Apostol-Euler numbers and polynomials of order with complex numbers with the aid of the Euler operator and partial derivatives of the generating function. Relations among the these numbers and polynomials of neqative integer order, the beta-type rational functions, finite combinatorial sums, the Stirling numbers, and the Lah numbers are given. Finally, new classes of polynomials and modification exponential Euler type splines are constructed.","PeriodicalId":51232,"journal":{"name":"Applicable Analysis and Discrete Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68354339","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
New sharp inequalities of Mitrinovic-Adamovic type Mitrinovic-Adamovic型的新尖锐不等式
IF 0.9 4区 数学
Applicable Analysis and Discrete Mathematics Pub Date : 2023-01-01 DOI: 10.2298/aadm210507010j
Weidong Jiang
{"title":"New sharp inequalities of Mitrinovic-Adamovic type","authors":"Weidong Jiang","doi":"10.2298/aadm210507010j","DOIUrl":"https://doi.org/10.2298/aadm210507010j","url":null,"abstract":"In this paper, new sharp Mitrinovic-Adamovic inequalities for circular functions are established.","PeriodicalId":51232,"journal":{"name":"Applicable Analysis and Discrete Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68353767","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
The relationship between Huygens’ and Wilker’s inequalities and further remarks 惠更斯不等式和威尔克不等式之间的关系以及进一步的评论
IF 0.9 4区 数学
Applicable Analysis and Discrete Mathematics Pub Date : 2023-01-01 DOI: 10.2298/aadm210727012c
Chao-Ping Chen, C. Mortici
{"title":"The relationship between Huygens’ and Wilker’s inequalities and further remarks","authors":"Chao-Ping Chen, C. Mortici","doi":"10.2298/aadm210727012c","DOIUrl":"https://doi.org/10.2298/aadm210727012c","url":null,"abstract":"The first aim of this paper is to show how the Huygens? and Wilker?s inequalities are related. In this sense, we establish and prove a class of inequalities depending on a parameter n, where Huygens? and Wilker?s inequalities are obtained when n = 1 and n = 2, respectively. By exploiting the above idea, we introduce other classes of inequalities depending on a parameter, extending an inequality of Wilker type and also the classical Cusa inequality. Finally, some open problems are posed.","PeriodicalId":51232,"journal":{"name":"Applicable Analysis and Discrete Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68353953","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
Anisotropic discrete boundary value problems 各向异性离散边值问题
IF 0.9 4区 数学
Applicable Analysis and Discrete Mathematics Pub Date : 2023-01-01 DOI: 10.2298/aadm220824008h
O. Hammouti, S. Taarabti, R. Agarwal
{"title":"Anisotropic discrete boundary value problems","authors":"O. Hammouti, S. Taarabti, R. Agarwal","doi":"10.2298/aadm220824008h","DOIUrl":"https://doi.org/10.2298/aadm220824008h","url":null,"abstract":"For an anisotropic discrete nonlinear problem with variable exponent, we demonstrate both the existence and multiplicity of nontrivial solutions in this study. The variational principle and critical point theory are the key techniques employed here.","PeriodicalId":51232,"journal":{"name":"Applicable Analysis and Discrete Mathematics","volume":"69 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68354371","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
Analytical and asymptotic representations for two sequence related to Gauss’ lemniscate functions 与高斯微分函数相关的两个序列的解析和渐近表示
4区 数学
Applicable Analysis and Discrete Mathematics Pub Date : 2023-01-01 DOI: 10.2298/aadm220810024h
Xue-Feng Han, Chao-Ping Chen, H.M. Srivastava
{"title":"Analytical and asymptotic representations for two sequence related to Gauss’ lemniscate functions","authors":"Xue-Feng Han, Chao-Ping Chen, H.M. Srivastava","doi":"10.2298/aadm220810024h","DOIUrl":"https://doi.org/10.2298/aadm220810024h","url":null,"abstract":"Let the sequences Gn and gn be defined by Gn := ?10 dt/(1?t2n)1/n (n ? 2) and gn := ??0 dt/(1 + t2n)1/n (n ? 1). In this paper, we first derive analytical representations for these two sequences Gn and gn in terms of the gamma function. By using the obtained analytical representations, we then deduce asymptotic expansions for Gn and gn.","PeriodicalId":51232,"journal":{"name":"Applicable Analysis and Discrete Mathematics","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136304077","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
Complete monotonicity involving the divided difference of polygamma functions 涉及多函数的除差的完全单调性
IF 0.9 4区 数学
Applicable Analysis and Discrete Mathematics Pub Date : 2023-01-01 DOI: 10.2298/aadm210630007y
Zhen-Hang Yang, Jingfeng Tian
{"title":"Complete monotonicity involving the divided difference of polygamma functions","authors":"Zhen-Hang Yang, Jingfeng Tian","doi":"10.2298/aadm210630007y","DOIUrl":"https://doi.org/10.2298/aadm210630007y","url":null,"abstract":"For r, s ? R and ? = min {r, s}, let D[x + r, x + s; ?n?1] ? ??n (x) be the divided difference of the functions ?n?1 = (?1)n ?(n?1) (n ? N) on (??,?), where ?(n) stands for the polygamma functions. In this paper, we present the necessary and sufficient conditions for the functions x ? ?k i=1 ?mi (x) ? ?k ?k i=1 ?ni (x) , x ? ?k i=1 ?ni (x) ? ?k?snk (x) to be completely monotonic on (??,?), where mi, ni ? N for i = 1,..., k with k ? 2 and snk = ?k i=1 ni. These generalize known results and gives an answer to a problem.","PeriodicalId":51232,"journal":{"name":"Applicable Analysis and Discrete Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68353884","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
New family of root-finding algorithms based on inverse rational interpolation 基于逆有理插值的新一族寻根算法
IF 0.9 4区 数学
Applicable Analysis and Discrete Mathematics Pub Date : 2023-01-01 DOI: 10.2298/aadm220708003d
J. Dzunic
{"title":"New family of root-finding algorithms based on inverse rational interpolation","authors":"J. Dzunic","doi":"10.2298/aadm220708003d","DOIUrl":"https://doi.org/10.2298/aadm220708003d","url":null,"abstract":"Inverse interpolation with rational functions is investigated for the use in iterative refinement of the root approximation. A new family of optimal methods of arbitrary large order of convergence for solving nonlinear equations is presented. Experiments are conducted to check the influence of polynomial degrees in numerator and denominator on convergence properties of the proposed methods. Wolfram Mathematica 12 software was used to carry the computation due to its capabilities of arbitrary large precision arithmetic.","PeriodicalId":51232,"journal":{"name":"Applicable Analysis and Discrete Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68354325","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
Four types of variant Euler harmonic sums 四种类型的变欧拉调和和
4区 数学
Applicable Analysis and Discrete Mathematics Pub Date : 2023-01-01 DOI: 10.2298/aadm200411021b
Necdet Batır, Junesang Choi
{"title":"Four types of variant Euler harmonic sums","authors":"Necdet Batır, Junesang Choi","doi":"10.2298/aadm200411021b","DOIUrl":"https://doi.org/10.2298/aadm200411021b","url":null,"abstract":"We aim to investigate the four types of variant Euler harmonic sums. Also, as corollaries, we provide particular examples of our core findings, some of whose further instances are evaluated in terms of basic and well-known functions as well as certain mathematical constants. We explore relevant linkages between our results and those of other previously established studies. An examination of a specific case of one result shows a relationship to series involving zeta functions, which is also a popular area of research.","PeriodicalId":51232,"journal":{"name":"Applicable Analysis and Discrete Mathematics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136210040","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
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