Results 21 to 30 of about 7,339,945 (133)

Rate of Approximation for Modified Lupaş-Jain-Beta Operators

Journal of Function Spaces, 2020
The main intent of this paper is to innovate a new construction of modified Lupaş-Jain operators with weights of some Beta basis functions whose construction depends on σ such that σ0=0 and infx∈0,∞σ′x≥1.
M. Qasim, Asif Khan, Zaheer Abbas, Princess Raina, Qing-Bo Cai   +4 more
doaj   +2 more sources

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

Journal of Mathematics
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 ...
Md. Nasiruzzaman, Rubayyi T. Alqahtani, S. A. Mohiuddine   +2 more
doaj   +2 more sources

A Kantorovich Type of Szasz Operators Including Brenke-Type Polynomials

Abstract and Applied Analysis, 2012
We give a Kantorovich variant of a generalization of Szasz operators defined by means of the Brenke-type polynomials and obtain convergence properties of these operators by using Korovkin's theorem.
Fatma Taşdelen, Rabia Aktaş, Abdullah Altın   +2 more
doaj   +2 more sources

Approximation properties of certain modified Szasz-Mirakyan operators [PDF]

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
doaj   +1 more source

A Voronovskaya-type theorem for a certain nonlinear Bernstein operators [PDF]

, 2015
The present paper concerns with the nonlinear Bernstein operators NBnf of the form (NB(n)f)(x) = Sigma(n)(k=0) P-n,P-k (x, f (k/n)), 0
Karslı, Harun, Altın, Hüseyin Erhan
openaire   +2 more sources

Semi‐discrete operators in multivariate setting: Convergence properties and applications

Mathematical Methods in the Applied Sciences, Volume 46, Issue 9, Page 11058-11079, June 2023., 2023
In this paper, we study the convergence properties of certain semi‐discrete exponential‐type sampling series in a multidimensional frame. In particular, we obtain an asymptotic formula of Voronovskaya type, which gives a precise order of approximation in the space of continuous functions, and we give some particular example illustrating the theory ...
Carlo Bardaro, Noemi Broccatelli, Ilaria Mantellini, Marco Seracini   +3 more
wiley   +1 more source

Approximation properties of modified Jain-Gamma operators

Karpatsʹkì Matematičnì Publìkacìï, 2021
In the present paper, we study some approximation properties of a modified Jain-Gamma operator. Using Korovkin type theorem, we first give approximation properties of such operator.
S. Erdogan, A. Olgun
doaj   +1 more source

On a Family of Parameter‐Based Bernstein Type Operators with Shape‐Preserving Properties

Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023
This article aims to introduce a new linear positive operator with a parameter. Our focus lies in analyzing the distinct characteristics and inherent properties exhibited by this operator. Additionally, we provide a proof of the convergence rate and present a revised version of the Voronovskaja theorem specifically tailored for this newly defined ...
Bahareh Nouri, Jamshid Saeidian, Firdous A. Shah   +2 more
wiley   +1 more source

Approximation Properties of (p, q)‐Szász‐Mirakjan‐Durrmeyer Operators

Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021
In this article, we introduce a new Durrmeyer‐type generalization of (p, q)‐Szász‐Mirakjan operators using the (p, q)‐gamma function of the second kind. The moments and central moments are obtained. Then, the Voronovskaja‐type asymptotic formula is investigated and point‐wise estimates of these operators are studied.
Zhi-Peng Lin, Wen-Tao Cheng, Xiao-Wei Xu, Mohammad Mursaleen   +3 more
wiley   +1 more source

Approximation Properties of New Modified Gamma Operators

Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021
This paper is aimed at constructing new modified Gamma operators using the second central moment of the classic Gamma operators. And we will compute the first, second, fourth, and sixth order central moments by the moment computation formulas, and their quantitative properties are researched. Then, the global results are established in certain weighted
Yun-Shun Wu, Wen-Tao Cheng, Wei-Ping Zhou, Lun-Zhi Deng, Tuncer Acar   +4 more
wiley   +1 more source