Results 61 to 70 of about 478 (139)

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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Approximation properties of generalized Baskakov–Schurer–Szasz–Stancu operators preserving e−2ax,a>0 $e^{-2ax}, a>0$

Journal of Inequalities and Applications, 2019
The current paper deals with a modified form of the Baskakov–Schurer–Szasz–Stancu operators which preserve e−2ax $e^{-2ax}$ for a>0 $a>0$. The uniform convergence of the modified operators is shown.
Melek Sofyalıoğlu, Kadir Kanat
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( p , q ) $(p,q)$ -Generalization of Szász–Mirakjan operators and their approximation properties

Journal of Inequalities and Applications, 2020
We introduce a new modification of ( p , q ) $(p,q)$ -analogue of Szász–Mirakjan operators. Firstly, we give a recurrence relation for the moments of ( p , q ) $(p,q)$ -analogue of Szász–Mirakjan operators and present some explicit formulae for the ...
Mustafa Kara, Nazim I. Mahmudov
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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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Approximation properties of generalized Baskakov operators

AIMS Mathematics, 2021
The present article is a continuation of the work done by Aral and Erbay [1]. We discuss the rate of convergence of the generalized Baskakov operators considered in the above paper with the aid of the second order modulus of continuity and the unified ...
Purshottam Narain Agrawal, Behar Baxhaku , Abhishek Kumar   +2 more
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VORONOVSKAYA-TYPE THEOREM FOR POSITIVE LINEAR OPERATORS BASED ON LAGRANGE INTERPOLATION

Annals of the Academy of Romanian Scientists Series on Mathematics and Its Application, 2023
Since the classical asymptotic theorems of Voronovskaya-type for positive and linear operators are in fact based on the Taylor’s formula which is a very particular case of Lagrange-Hermite interpolation for­mula, in the recent paper Gal [3], I have obtained semi-discrete quanti­tative Voronovskaya-type theorems based on other Lagrange-Hermite ...
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Ideal relatively uniform convergence with Korovkin and Voronovskaya types approximation theorems

Filomat, 2019
We introduce the notion of ideally relative uniform convergence of sequences of real valued functions. We then apply this notion to prove Korovkin-type approximation theorem, and then construct an illustrative example by taking (p,q)-Bernstein operators which proves that our Korovkin theorem is stronger than its classical version as well as
Mohiuddine, S. A., Hazarika, Bipan, Alghamdi, Mohammed A.   +2 more
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Quantitative Voronovskaya type theorems and GBS operators of Kantorovich variant of Lupaş-Stancu operators based on Pólya distribution

Mathematical Foundations of Computing, 2022
<p style='text-indent:20px;'>The motivation behind the current paper is to elucidate the approximation properties of a Kantorovich variant of Lupaş-Stancu operators based on Pólya distribution. We construct quantitative-Voronovskaya and Grüss-Voronovskaya type theorems and determine the convergence estimates of the above operators.
Bawa, Parveen, Bhardwaj, Neha, Agrawal, P. N.   +2 more
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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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Approximation properties of certain modified Szasz-Mirakyan operators

Le Matematiche, 2000
We introduce certain modified Szasz - Mirakyan operators in exponential weighted spaces of functions of one variable. We give theorems on the degree of approximation and the Voronovskaya type theorem.
Lucyna Rempulska, Zbigniew Walczak
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