Results 61 to 70 of about 474 (129)
Convergence of Generalized Lupaş-Durrmeyer Operators
Mathematics, 2020 The main aim of this paper is to establish summation-integral type generalized Lupaş operators with weights of Beta basis functions which depends on μ having some properties.
Mohd Qasim +3 more
doaj +1 more source
Approximation of Real Functions by a Generalization of Ismail–May Operator
Mathematics, 2022 In this paper, we generalize a sequence of positive linear operators introduced by Ismail and May and we study some of their approximation properties for different classes of continuous functions. First, we estimate the error of approximation in terms of
Adrian Holhoş
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Approximation by q‐Post‐Widder Operators Based on a New Parameter
Abstract and Applied Analysis, Volume 2024, Issue 1, 2024.The purpose of this paper is to introduce q‐Post–Widder operators based on a new parameter and study their approximation properties. The moments and central moments are investigated. And some local approximation properties of these operators by means of modulus of continuity and Peetre’s K‐functional are presented.
Qiu Lin, Rosanna Manzo
wiley +1 more source
A new construction of Lupaş operators and its approximation properties
Advances in Difference Equations, 2021 The aim of this paper is to study a new generalization of Lupaş-type operators whose construction depends on a real-valued function ρ by using two sequences u m $u_{m} $ and v m $v_{m}$ of functions.
Mohd Qasim +3 more
doaj +1 more source
Better Approximation Properties by New Modified Baskakov Operators
Journal of Applied Mathematics, Volume 2024, Issue 1, 2024.This paper introduces a new idea to obtain a better order of approximation for the Baskakov operator. We conclude two new operators from orders one and two of the Baskakov type. Also, we prove some directed results concerning the rate of convergence of these operators.
Ahmed F. Jabbar +2 more
wiley +1 more source
Polynomial approximations to continuous functions and stochastic compositions [PDF]
, 2016 This paper presents a stochastic approach to theorems concerning the behavior of iterations of the Bernstein operator $B_n$ taking a continuous function $f \in C[0,1]$ to a degree-$n$ polynomial when the number of iterations $k$ tends to infinity and $n$
Konstantopoulos, Takis +2 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
core
Modified double Szász-Mirakjan operators preserving $x^{2}+y^{2}$ [PDF]
, 2009 In this paper, we introduce a modification of the Sz\u27{a}sz-Mirakjan type operators of two variables which preserve $f_{0}left( x,yright) =1$ and $% f_{3}left( x,yright) =x^{2}+y^{2}.$ We prove that this type of operators enables a better error ...
Fadime Dirik, Kamil Demirci
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On the Generalized Baskakov Durrmeyer Operators
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019 The main object of this paper is to construct Baskakov Durrmeyer type operators such that their construction depends on a function ρ. Using the weighted modulus of continuity, we show the uniform convergence of the operators. Moreover we obtain pointwise
Gülsüm Ulusoy
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The Lower Estimate for Bernstein Operator [PDF]
, 2013 MSC 2010: 41A10, 41A15, 41A25, 41A36For functions belonging to the classes C2[0; 1] and C3[0; 1], we establish the lower estimate with an explicit constant in approximation by Bernstein polynomials in terms of the second order Ditzian-Totik modulus of ...
Gal, Sorin G., Tachev, Gancho T.
core