Results 41 to 50 of about 319 (79)

Approximation Properties of a New Class of Beta‐Type Szász–Mirakjan Operators

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
We use the new variant of Szász–Mirakjan operators to construct a generalized version of Szász‐beta type operators and obtain auxiliary lemmas. We present the weighted approximation theorems and, by using Peetre’s K‐function, the local approximation results of these operators are studied.
Md. Nasiruzzaman   +3 more
wiley   +1 more source

Asymptotic Behaviour of the Iterates of Positive Linear Operators

open access: yesAbstract and Applied Analysis, Volume 2011, Issue 1, 2011., 2011
We present a general result concerning the limit of the iterates of positive linear operators acting on continuous functions defined on a compact set. As applications, we deduce the asymptotic behaviour of the iterates of almost all classic and new positive linear operators.
Ioan Gavrea, Mircea Ivan, Pavel Drábek
wiley   +1 more source

Some Approximation Properties of the (p, q)–Stancu–Schurer–Bleimann–Butzer–Hahn Operators

open access: yesJournal of Mathematics, Volume 2024, Issue 1, 2024.
In this article, the (p, q)–Stancu–Schurer–Bleimann–Butzer–Hahn ((p, q)‐SSBBH) operators are introduced. The Korovkin‐type theorem is obtained to show the approximation properties of these operators. Then, the rate of convergence of these operators with the help of the modulus of continuity and Lipschitz‐type maximal functions is calculated ...
Gülten Torun, Ljubisa Kocinac
wiley   +1 more source

A Kantorovich type integral modification of q-Bernstein-Schurer operators

open access: yesFilomat, 2018
The q-Bernstein-Schurer summation type operators are modified in order to make them applicable for approximation of integrable functions. The aim of the paper is twofold. Firstly, to find refined error estimates, |S*(?,?) n,p,q(f)(x) - f(x)| without using Schwarz?s inequality.
Gairola, Asha Ram   +2 more
openaire   +3 more sources

Approximation Properties of Schurer-Stancu Type Polynomials [PDF]

open access: yes, 2014
MSC 2010: 41A25 ...
Done, Yesim, Ibikli, Ertan, Sucu, Sezgin
core  

Operator Methods in Approximation Theory

open access: yes, 2019
Journal of Function Spaces, Volume 2019, Issue 1, 2019.
Vita Leonessa   +3 more
wiley   +1 more source

On Chlodowsky Variant of (p,q) Kantorovich-Stancu-Schurer Operators

open access: yesInternational Journal of Analysis and Applications, 2016
In the present paper, we introduce the Chlodowsky variant of (p,q) Kantorovich-Stancu-Schurer operators on the unbounded domain which is a generalization of (p,q) Bernstein-Stancu-Kantorovich operators.
Vishnu Narayan Mishra, Shikha Pandey
doaj   +2 more sources

Approximation Properties of Complex q-Gamma operators and a Equivalent Condition of (p,q)-integers [PDF]

open access: yes, 2016
本文主要研究以下两个方面的内容: (1)在复空间上研究复q-Gamma算子对解析函数的同时逼近阶和Voronovskaya型逼近定理; (2)通过举出反例证明Mursaleen等人得到的(p,q)-算子的收敛性定理是错误的,并给出了一个(p,q)-整数趋于无穷的等价条件.This paper mainly focuses on the following two aspects of content: (1) The order of simultaneous approximation and ...
蔡清波
core  

Some results on Lupaş (p; q)-Bernstein operators and its limit form [PDF]

open access: yes, 2018
In this paper, statistical approximation properties of Lupaş (p; q)-analogue of Bernstein operators are studied. Rate of statistical convergence by means of modulus of continuity and Lipschitz type maximal functions has been investigated.
Khan, Asif, Sharma, Vinita
core   +1 more source

A de Casteljau Algorithm for Bernstein type Polynomials based on (p; q)-integers [PDF]

open access: yes, 2018
In this paper, a de Casteljau algorithm to compute (p; q)-Bernstein Bezier curves based on (p; q)- integers are introduced. The nature of degree elevation and degree reduction for (p; q)-Bezier Bernstein functions are studied.
Khan, Khalid   +2 more
core   +1 more source

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