Applicable Analysis and Discrete Mathematics最新文献

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On some computational aspects of Hermite & Haar wavelets on a class of nonlinear singular BVPs 一类非线性奇异BVPs上Hermite & Haar小波的若干计算问题
IF 0.9 4区 数学
Applicable Analysis and Discrete Mathematics Pub Date : 2021-01-01 DOI: 10.2298/AADM191123020V
Amit Verma, D. Tiwari
{"title":"On some computational aspects of Hermite & Haar wavelets on a class of nonlinear singular BVPs","authors":"Amit Verma, D. Tiwari","doi":"10.2298/AADM191123020V","DOIUrl":"https://doi.org/10.2298/AADM191123020V","url":null,"abstract":"We propose a new class of SBVPs which deals with exothermic reactions. We also propose four computationally stable methods to solve singular nonlinear BVPs by using Hermite wavelet collocation which are coupled with Newton's quasilinearization and Newton-Raphson method. We compare the results which are obtained by using Hermite wavelets with the results obtained by using Haar wavelets. The efficiency of these methods are verified by applying these four methods on Lane-Emden equations. Convergence analysis is also presented.","PeriodicalId":51232,"journal":{"name":"Applicable Analysis and Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68352735","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: 2
Summation formulae involving multiple harmonic numbers 包含多个谐波数的求和公式
IF 0.9 4区 数学
Applicable Analysis and Discrete Mathematics Pub Date : 2021-01-01 DOI: 10.2298/aadm190712026g
Dongwei Guo, W. Chu
{"title":"Summation formulae involving multiple harmonic numbers","authors":"Dongwei Guo, W. Chu","doi":"10.2298/aadm190712026g","DOIUrl":"https://doi.org/10.2298/aadm190712026g","url":null,"abstract":"By means of the generating function approach, we derive several summation formulae involving multiple harmonic numbers Hn,? (?), as well as other combinatorial numbers named after Bernoulli, Euler, Bell, Genocchi and Stirling.","PeriodicalId":51232,"journal":{"name":"Applicable Analysis and Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68352956","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: 8
Weighted P-partitions enumerator 加权p分区枚举数
IF 0.9 4区 数学
Applicable Analysis and Discrete Mathematics Pub Date : 2021-01-01 DOI: 10.2298/AADM200525013P
M. Pešović, Tanja Stojadinovic
{"title":"Weighted P-partitions enumerator","authors":"M. Pešović, Tanja Stojadinovic","doi":"10.2298/AADM200525013P","DOIUrl":"https://doi.org/10.2298/AADM200525013P","url":null,"abstract":"To an extended generalized permutohedron we associate the weighted integer points enumerator, whose principal specialization is the f-polynomial. In the case of poset cones it refines Gessel's P-partitions enumerator. We show that this enumerator is a quasisymmetric function obtained by universal morphism from the Hopf algebra of posets.","PeriodicalId":51232,"journal":{"name":"Applicable Analysis and Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68353146","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
Oscillation criteria of third-order nonlinear neutral delay difference equations with noncanonical operators 具有非正则算子的三阶非线性中立型时滞差分方程的振动判据
IF 0.9 4区 数学
Applicable Analysis and Discrete Mathematics Pub Date : 2021-01-01 DOI: 10.2298/AADM200913011A
G. Ayyappan, G. Chatzarakis, T. Gopal, E. Thandapani
{"title":"Oscillation criteria of third-order nonlinear neutral delay difference equations with noncanonical operators","authors":"G. Ayyappan, G. Chatzarakis, T. Gopal, E. Thandapani","doi":"10.2298/AADM200913011A","DOIUrl":"https://doi.org/10.2298/AADM200913011A","url":null,"abstract":"In this paper, we present some new oscillation criteria for nonlinear neutral difference equations of the form ?(b(n)?(a(n)?z(n))) + q(n)x?(?(n)) = 0 where z(n) = x(n) + p(n)x(?(n)),? > 0, b(n) > 0, a(n) > 0, q(n) ? 0 and p(n) > 1. By summation averaging technique, we establish new criteria for the oscillation of all solutions of the studied difference equation above. We present four examples to show the strength of the new obtained results.","PeriodicalId":51232,"journal":{"name":"Applicable Analysis and Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68353164","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
The monotonicity of Darboux and 2-injective functions 达布函数和2内射函数的单调性
IF 0.9 4区 数学
Applicable Analysis and Discrete Mathematics Pub Date : 2021-01-01 DOI: 10.2298/aadm200616024m
C. Mortici
{"title":"The monotonicity of Darboux and 2-injective functions","authors":"C. Mortici","doi":"10.2298/aadm200616024m","DOIUrl":"https://doi.org/10.2298/aadm200616024m","url":null,"abstract":"The aim of this work is to establish the monotonicity of a Darboux, 2-injective function","PeriodicalId":51232,"journal":{"name":"Applicable Analysis and Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68353249","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
Some new properties of the Barnes G-function and related results 巴恩斯g函数的一些新性质及有关结果
IF 0.9 4区 数学
Applicable Analysis and Discrete Mathematics Pub Date : 2021-01-01 DOI: 10.2298/aadm200424056c
Chao Chen, H. Srivastava
{"title":"Some new properties of the Barnes G-function and related results","authors":"Chao Chen, H. Srivastava","doi":"10.2298/aadm200424056c","DOIUrl":"https://doi.org/10.2298/aadm200424056c","url":null,"abstract":"In this paper, we present several potentially useful properties of the Barnes G-function. The properties considered here include, for example, its integral representation, complete monotonicity, and continued-fraction approximation. We also derive continued-fraction approximations of the Glaisher-Kinkelin constant and the Choi-Srivastava constants.","PeriodicalId":51232,"journal":{"name":"Applicable Analysis and Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68353558","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: 2
Theory of discrete Muckenhoupt weights and discrete Rubio de Francia extrapolation theorems 离散Muckenhoupt权值理论和离散Rubio de Francia外推定理
IF 0.9 4区 数学
Applicable Analysis and Discrete Mathematics Pub Date : 2021-01-01 DOI: 10.2298/aadm210120017s
S. Saker, R. Agarwal
{"title":"Theory of discrete Muckenhoupt weights and discrete Rubio de Francia extrapolation theorems","authors":"S. Saker, R. Agarwal","doi":"10.2298/aadm210120017s","DOIUrl":"https://doi.org/10.2298/aadm210120017s","url":null,"abstract":"In this paper, we will prove a discrete Rubio De Francia extrapolation theorem in the theory of discrete Ap-Muckenhoupt weights for which the discrete Hardy-Littlewood maximal operator is bounded on lpw (Z+). The results will be proved by employing the self-improving property of the discrete Ap-Muckenhoupt weights and the Marcinkiewicz Interpolation Theorem.","PeriodicalId":51232,"journal":{"name":"Applicable Analysis and Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68354102","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
Some logarithmically completely monotonic functions and inequalities for multinomial coefficients and multivariate beta functions 多项式系数和多元贝塔函数的一些对数完全单调函数和不等式
IF 0.9 4区 数学
Applicable Analysis and Discrete Mathematics Pub Date : 2020-10-31 DOI: 10.2298/AADM191111033Q
Feng Qi (祁锋), Da-Wei Niu, D. Lim, Bai-Ni Guo (郭白妮)
{"title":"Some logarithmically completely monotonic functions and inequalities for multinomial coefficients and multivariate beta functions","authors":"Feng Qi (祁锋), Da-Wei Niu, D. Lim, Bai-Ni Guo (郭白妮)","doi":"10.2298/AADM191111033Q","DOIUrl":"https://doi.org/10.2298/AADM191111033Q","url":null,"abstract":"In the paper, the authors extend a function arising from the Bernoulli trials in probability and involving the gamma function to its largest ranges, find logarithmically complete monotonicity of these extended functions, and, in light of logarithmically complete monotonicity of these extended functions, derive some inequalities for multinomial coefficients and multivariate beta functions. These results recover, extend, and generalize some known conclusions.","PeriodicalId":51232,"journal":{"name":"Applicable Analysis and Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2020-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45227572","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: 22
A bijection between two subfamilies of Motzkin paths 莫兹金路径的两个亚族之间的交叉
IF 0.9 4区 数学
Applicable Analysis and Discrete Mathematics Pub Date : 2020-07-04 DOI: 10.2298/aadm200707026g
Nancy S. S. Gu, H. Prodinger
{"title":"A bijection between two subfamilies of Motzkin paths","authors":"Nancy S. S. Gu, H. Prodinger","doi":"10.2298/aadm200707026g","DOIUrl":"https://doi.org/10.2298/aadm200707026g","url":null,"abstract":"Two subfamilies of Motzkin paths, with the same numbers of up, down,\u0000 horizontal steps were known to be equinumerous with ternary trees and\u0000 related objects. We construct a bijection between these two families that\u0000 does not use any auxiliary objects, like ternary trees.","PeriodicalId":51232,"journal":{"name":"Applicable Analysis and Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2020-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48967775","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: 2
Rank partition functions and truncated theta identities 秩划分函数与截断θ恒等式
IF 0.9 4区 数学
Applicable Analysis and Discrete Mathematics Pub Date : 2020-06-13 DOI: 10.2298/AADM190401023M
M. Merca
{"title":"Rank partition functions and truncated theta identities","authors":"M. Merca","doi":"10.2298/AADM190401023M","DOIUrl":"https://doi.org/10.2298/AADM190401023M","url":null,"abstract":"In 1944, Freeman Dyson defined the concept of rank of an integer partition\u0000 and introduced without definition the term of crank of an integer partition.\u0000 A definition for the crank satisfying the properties hypothesized for it by\u0000 Dyson was discovered in 1988 by G.E. Andrews and F.G. Garvan. In this\u0000 paper, we introduce truncated forms for two theta identities involving the\u0000 generating functions for partitions with non-negative rank and non-negative\u0000 crank. As corollaries we derive new infinite families of linear inequalities\u0000 for the partition function p(n). The number of Garden of Eden partitions are\u0000 also considered in this context in order to provide other infinite families\u0000 of linear inequalities for p(n).","PeriodicalId":51232,"journal":{"name":"Applicable Analysis and Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2020-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48269199","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
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