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Constructive Mathematical Analysis最新文献

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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":" ","pages":""},"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":" ","pages":""},"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":" ","pages":""},"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":" ","pages":""},"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
Approximation by Baskakov-Szász-Stancu Operators Preserving Exponential Functions 近似Baskakov-Szász-Stancu算子保持指数函数
Constructive Mathematical Analysis Pub Date : 2018-09-15 DOI: 10.33205/CMA.450708
Murat Bodur, Övgü Gürel Yılmaz, A. Aral
{"title":"Approximation by Baskakov-Szász-Stancu Operators Preserving Exponential Functions","authors":"Murat Bodur, Övgü Gürel Yılmaz, A. Aral","doi":"10.33205/CMA.450708","DOIUrl":"https://doi.org/10.33205/CMA.450708","url":null,"abstract":"The purpose of this paper is to construct a general class of operators which has known Baskakov-Sza sz-Stancu that preserving constant and $e^{2ax}, a>0$ functions. We scrutinize a uniform convergence result and analyze the asymptotic behavior of our operators, as well. Finally, we discuss the convergence of corresponding sequences in exponential weighted spaces and make a comparison about which one approximates better between classical Baskakov-Sza sz-Stancu operators and the recent operators.","PeriodicalId":36038,"journal":{"name":"Constructive Mathematical Analysis","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2018-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45165976","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: 37
Differentiation 分化
Constructive Mathematical Analysis Pub Date : 2018-08-23 DOI: 10.1017/9781108505468.007
D. Cunningham
{"title":"Differentiation","authors":"D. Cunningham","doi":"10.1017/9781108505468.007","DOIUrl":"https://doi.org/10.1017/9781108505468.007","url":null,"abstract":"","PeriodicalId":36038,"journal":{"name":"Constructive Mathematical Analysis","volume":"32 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2018-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85518947","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
Approximating sums by integrals only: multiple sums and sums over lattice polytopes 仅用积分逼近和:多重和和和晶格多面体
Constructive Mathematical Analysis Pub Date : 2017-05-24 DOI: 10.33205/cma.1102689
I. Pinelis
{"title":"Approximating sums by integrals only: multiple sums and sums over lattice polytopes","authors":"I. Pinelis","doi":"10.33205/cma.1102689","DOIUrl":"https://doi.org/10.33205/cma.1102689","url":null,"abstract":"The Euler--Maclaurin (EM) summation formula is used in many theoretical studies and numerical calculations. It approximates the sum $sum_{k=0}^{n-1} f(k)$ of values of a function $f$ by a linear combination of a corresponding integral of $f$ and values of its higher-order derivatives $f^{(j)}$. An alternative (Alt) summation formula was recently presented by the author, which approximates the sum by a linear combination of integrals only, without using high-order derivatives of $f$. It was shown that the Alt formula will in most cases outperform, or greatly outperform, the EM formula in terms of the execution time and memory use. In the present paper, a multiple-sum/multi-index-sum extension of the Alt formula is given, with applications to summing possibly divergent multi-index series and to sums over the integral points of integral lattice polytopes.","PeriodicalId":36038,"journal":{"name":"Constructive Mathematical Analysis","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2017-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43063326","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
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