Results 41 to 50 of about 341 (102)
Approximation properties of some Bernstein-Schurer type operators
Journal of Physics: Conference Series, 2023 Abstract This paper mainly studies the approximation properties of Bernstein-Schurer operators based on a non-negative real parameter λ. By analysis techniques and the method to make the kernel estimation, the author studies the convergence order of this Schurer operators for the function class θBV[0,1 + p].
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A Bernstein‐Like Trigonometric Basis: Properties, Curve Design, and Operator Construction
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.We introduce a novel family of trigonometric basis functions equipped with a shape parameter, analogous to Bernstein functions. These basis functions are employed to construct Bézier‐like curves, termed “trigo‐curves”, which retain the fundamental properties of classical Bézier curves while offering enhanced shape control through parameter adjustment ...
Jamshid Saeidian +3 more
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Approximation Properties of Schurer-Stancu Type Polynomials [PDF]
, 2014 MSC 2010: 41A25 ...
Done, Yesim, Ibikli, Ertan, Sucu, Sezgin
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A Kantorovich type integral modification of q-Bernstein-Schurer operators
Filomat, 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
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Approximation Properties of a New Class of Beta‐Type Szász–Mirakjan Operators
Journal 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
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Asymptotic Behaviour of the Iterates of Positive Linear Operators
Abstract 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
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Some Approximation Properties of the (p, q)–Stancu–Schurer–Bleimann–Butzer–Hahn Operators
Journal 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
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On Chlodowsky Variant of (p,q) Kantorovich-Stancu-Schurer Operators
International 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
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Operator Methods in Approximation Theory
, 2019 Journal of Function Spaces, Volume 2019, Issue 1, 2019.
Vita Leonessa +3 more
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Approximation Properties of Complex q-Gamma operators and a Equivalent Condition of (p,q)-integers [PDF]
, 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
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