Results 31 to 40 of about 336,700 (138)

Approximation by some combinations of Poisson integrals for Hermite and Laguerre expansions

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2013
The aim of this paper is the study of a rate of convergence of some combinations of Poisson integrals for Hermite and Laguerre expansions. We are able to achieve faster convergence for our modified operators over the Poisson integrals.
Grażyna Krech, Eugeniusz Wachnicki
doaj   +1 more source

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

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 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

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

Convergence properties of generalized Lupaş-Kantorovich operators

Karpatsʹkì Matematičnì Publìkacìï, 2021
In the present paper, we consider the Kantorovich modification of generalized Lupaş operators, whose construction depends on a continuously differentiable, increasing and unbounded function $\rho$.
M. Qasim, A. Khan, Z. Abbas, M. Mursaleen   +3 more
doaj   +1 more source

Chlodowsky-type Szász operators via Boas–Buck-type polynomials and some approximation properties

Journal of Inequalities and Applications, 2023
In this paper, we construct the Chlodowsky-type Szász operators defined via Boas–Buck-type polynomials. We prove some approximation properties and obtain the rate of the convergence for these operators.
Naim L. Braha, Valdete Loku, M. Mursaleen   +2 more
doaj   +1 more source

Approximation Properties of the Blending-Type Bernstein–Durrmeyer Operators

Axioms, 2022
We construct the blending-type modified Bernstein–Durrmeyer operators and investigate their approximation properties. First, we derive the Voronovskaya-type asymptotic theorem for this type of operator.
Yu-Jie Liu, Wen-Tao Cheng, Wen-Hui Zhang, Pei-Xin Ye   +3 more
doaj   +1 more source

A Voronovskaya-Type Theorem for a General Class of Discrete Operators

Rocky Mountain Journal of Mathematics, 2009
A general class of discrete, not necessarily positive operators is studied that acts on functions defined on an interval of the real line and has the form \[ (S_nf)(t)=\sum _{k=0}^\infty K_n(t,\nu_{n,k})f(\nu_{n,k}),\quad n\in\mathbb N,\;t\in I, \] where \(I\) is a fixed interval (bounded or not) in \(\mathbb R\) and, for every \(n\in\mathbb N ...
BARDARO, Carlo, MANTELLINI, Ilaria
openaire   +3 more sources