发布求助
文献互助 智能选刊 最新文献

Constructive Mathematical Analysis最新文献

筛选
英文 中文
Iterates of Markov Operators and Constructive Approximation of Semigroups 马尔可夫算子的迭代与半群的构造逼近
Constructive Mathematical Analysis Pub Date : 2019-03-01 DOI: 10.33205/CMA.491601
F. Altomare
{"title":"Iterates of Markov Operators and Constructive Approximation of Semigroups","authors":"F. Altomare","doi":"10.33205/CMA.491601","DOIUrl":"https://doi.org/10.33205/CMA.491601","url":null,"abstract":"In this paper we survey some recent results concerning the asymptotic behaviour of the iterates of a single Markov operator or of a sequence of Markov operators. Among other things, a characterization of the convergence of the iterates of Markov operators toward a given Markov projection is discussed in terms of the involved interpolation sets. Constructive approximation problems for strongly continuous semigroups of operators in terms of iterates are also discussed. In particular we present some simple criteria concerning their asymptotic behaviour. Finally, some applications are shown concerning Bernstein-Schnabl operators on convex compact sets and Bernstein-Durrmeyer operators with Jacobi weights on the unit hypercube. A final section contains some suggestions for possible further researches.","PeriodicalId":36038,"journal":{"name":"Constructive Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49459859","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: 8
Notes on Some Recent Papers Concerning $F$-Contractions in $b$-Metric Spaces 关于$b$-度量空间中$F$-缩约的一些新论文注记
Constructive Mathematical Analysis Pub Date : 2018-11-07 DOI: 10.33205/cma.468813
Z. Kadelburg, S. Radenović
{"title":"Notes on Some Recent Papers Concerning $F$-Contractions in $b$-Metric Spaces","authors":"Z. Kadelburg, S. Radenović","doi":"10.33205/cma.468813","DOIUrl":"https://doi.org/10.33205/cma.468813","url":null,"abstract":"In several recent papers, attempts have been made to apply Wardowski's method of $F$-contractions in order to obtain fixed point results for single and multivalued mappings in $b$-metric spaces. In this article, it is shown that in most cases the conditions imposed on respective mappings are too strong and that the results can be obtained directly, i.e., without using most of the properties of auxiliary function $F$.","PeriodicalId":36038,"journal":{"name":"Constructive Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42639020","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: 44
On the Remainder Term of Some Bivariate Approximation Formulas Based on Linear and Positive Operators 基于线性算子和正算子的二元近似公式的余项
Constructive Mathematical Analysis Pub Date : 2018-11-07 DOI: 10.33205/CMA.442151
Dan Barbosu
{"title":"On the Remainder Term of Some Bivariate Approximation Formulas Based on Linear and Positive Operators","authors":"Dan Barbosu","doi":"10.33205/CMA.442151","DOIUrl":"https://doi.org/10.33205/CMA.442151","url":null,"abstract":"The paper is a survey concerning representations for the remainder term of Bernstein-Schurer-Stancu and respectively Stancu (based on factorial powers) bivariate approximation formulas, using bivariate divided differences. As particular cases the remainder terms of bivariate Bernstein-Stancu, Schurer and classical Bernstein bivariate approximation formulas are obtained. Finally, one presents some mean value properties, similar to those of the remainder term of classical Bernstein univariate approximation formula.","PeriodicalId":36038,"journal":{"name":"Constructive Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43610078","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: 14
Approximation of Modified Jakimovski-Leviatan-Beta Type Operators 改进的Jakimovski-Leviatan-Beta型算子的逼近
Constructive Mathematical Analysis Pub Date : 2018-11-07 DOI: 10.33205/CMA.453284
M. Mursaleen, M. Nasiruzzaman
{"title":"Approximation of Modified Jakimovski-Leviatan-Beta Type Operators","authors":"M. Mursaleen, M. Nasiruzzaman","doi":"10.33205/CMA.453284","DOIUrl":"https://doi.org/10.33205/CMA.453284","url":null,"abstract":"In the present paper, we define Jakimovski-Leviatan type modified operators. We study some approximation results for these operators. We also determine the order of convergence in terms of modulus of continuity, Lipschitz functions, Peetre's K-functional, second order modulus of continuity and weighted modulus of continuity.","PeriodicalId":36038,"journal":{"name":"Constructive Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44250069","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: 18
A Survey on Estimates for the Differences of Positive Linear Operators 关于正线性算子差分估计的综述
Constructive Mathematical Analysis Pub Date : 2018-11-07 DOI: 10.33205/CMA.478408
A. Acu, Sever Hodiş, I. Raşa
{"title":"A Survey on Estimates for the Differences of Positive Linear Operators","authors":"A. Acu, Sever Hodiş, I. Raşa","doi":"10.33205/CMA.478408","DOIUrl":"https://doi.org/10.33205/CMA.478408","url":null,"abstract":"We survey some results concerning differences of positive linear operators from Approximation Theory, and present some new results in this direction.","PeriodicalId":36038,"journal":{"name":"Constructive Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69532114","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: 30
On the Bézier Variant of the Srivastava-Gupta Operators 论Srivastava-Gupta算子的bsamzier变体
Constructive Mathematical Analysis Pub Date : 2018-11-07 DOI: 10.33205/CMA.465073
Arun Kajla
{"title":"On the Bézier Variant of the Srivastava-Gupta Operators","authors":"Arun Kajla","doi":"10.33205/CMA.465073","DOIUrl":"https://doi.org/10.33205/CMA.465073","url":null,"abstract":"In the present paper, we introduce the Bezier variant of the Srivastava-Gupta operators, which preserve constant as well as linear functions. Our study focuses on a direct approximation theorem in terms of the Ditzian-Totik modulus of smoothness, respectively the rate of convergence for differentiable functions whose derivatives are of bounded variation.","PeriodicalId":36038,"journal":{"name":"Constructive Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43398924","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: 12
A Short Survey on the Recent Fixed Point Results on $b$-Metric Spaces 关于$b$-度量空间上最近不动点结果的一个简短综述
Constructive Mathematical Analysis Pub Date : 2018-09-15 DOI: 10.33205/CMA.453034
E. Karapınar
{"title":"A Short Survey on the Recent Fixed Point Results on $b$-Metric Spaces","authors":"E. Karapınar","doi":"10.33205/CMA.453034","DOIUrl":"https://doi.org/10.33205/CMA.453034","url":null,"abstract":"The aim of this short survey is to collect and combine basic notions and results in the fixed point theory in the context of $b$-metric spaces. It is also aimed to show that there are still enough rooms for several researchers in this interesting direction and a huge application potential.","PeriodicalId":36038,"journal":{"name":"Constructive Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45112850","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: 46
Approximation Results for Urysohn Type Two Dimensional Nonlinear Bernstein Operators Urysohn型二维非线性Bernstein算子的近似结果
Constructive Mathematical Analysis Pub Date : 2018-09-15 DOI: 10.33205/CMA.453027
H. Karsli
{"title":"Approximation Results for Urysohn Type Two Dimensional Nonlinear Bernstein Operators","authors":"H. Karsli","doi":"10.33205/CMA.453027","DOIUrl":"https://doi.org/10.33205/CMA.453027","url":null,"abstract":"In the present work, our aim of this study is generalization and extension of the theory of interpolation of two dimensional functions to functionals or operators by means of Urysohn type nonlinear operators. In accordance with this purpose, we introduce and study a new type of Urysohn type nonlinear operators. In particular, we investigate the convergence problem for nonlinear operators that approximate the Urysohn type operator in two dimensional case. The starting point of this study is motivated by the important applications that approximation properties of certain families of nonlinear operators have in signal-image reconstruction and in other related fields. We construct our nonlinear operators by using a nonlinear form of the kernels together with the Urysohn type operator values instead of the sampling values of the function.","PeriodicalId":36038,"journal":{"name":"Constructive Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44473461","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: 19
Differences of Operators of Lupaş Type Lupaş型算子的差异
Constructive Mathematical Analysis Pub Date : 2018-09-15 DOI: 10.33205/CMA.452962
Vijay Gupta
{"title":"Differences of Operators of Lupaş Type","authors":"Vijay Gupta","doi":"10.33205/CMA.452962","DOIUrl":"https://doi.org/10.33205/CMA.452962","url":null,"abstract":"In the present article, we study the approximation of difference of operators and find the quantitative estimates for the difference of Lupas operators with Lupas-Sz asz operators and Lupas-Kantorovich operators in terms of modulus of continuity. Also, we find the quantitative estimate for the difference of Lupas-Kantorovich operators and Lupas-Szasz operators.","PeriodicalId":36038,"journal":{"name":"Constructive Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47457503","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: 22
Approximation Properties of Kantorovich Type Modifications of $(p, q)-$Meyer-König-Zeller Operators $(p, q)-$Meyer-König-Zeller算子的Kantorovich型修正的近似性质
Constructive Mathematical Analysis Pub Date : 2018-09-15 DOI: 10.33205/CMA.436071
Ramapati Maurya, Honey Sharma, Cheeena Gupta
{"title":"Approximation Properties of Kantorovich Type Modifications of $(p, q)-$Meyer-König-Zeller Operators","authors":"Ramapati Maurya, Honey Sharma, Cheeena Gupta","doi":"10.33205/CMA.436071","DOIUrl":"https://doi.org/10.33205/CMA.436071","url":null,"abstract":"In this paper, we introduce Kantorovich type modification of $(p, q)$-Meyer-K o nig-Zeller operators. We estimate rate of convergence of proposed operators using modulus of continuity and Lipschitz class functions. Further, we obtain the statistical convergence and local approximation results for these operators. In the last section, we estimate the rate of convergence of $(p, q)$-Meyer-K o nig-Zeller Kantorovich operators by means of Matlab programming.","PeriodicalId":36038,"journal":{"name":"Constructive Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48521536","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: 15
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