Results 51 to 60 of about 478 (139)

Strong Converse Inequalities and Qantitative Voronovskaya-Type Theorems for Trigonometric Fej\'er Sums

Constructive Mathematical Analysis, 2020
Let $\sigma_n$ denotes the classical Fej\'er operator for trigonometric expansions. For a fixed even integer $r$, we characterize the rate of convergence of the iterative operators $(I-\sigma_n)^r(f)$ in terms of the modulus of continuity of order $r$ (with specific constants) in all $\mathbb{L}^p$ spaces $1\leq p \leq \infty$.
Jorge Bustamante, Lázaro Flores De Jesús   +1 more
openaire   +3 more sources

q‐Szász‐Mirakyan‐Kantorovich Operators of Functions of Two Variables in Polynomial Weighted Spaces

Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013
The present paper deals with approximation properties of q‐Szász‐Mirakyan‐Kantorovich operators. We construct new bivariate generalization by qR‐integral and these operators′ approximation properties in polynomial weighted spaces are investigated. Also, we obtain Voronovskaya‐type theorem for the proposed operators in polynomial weighted spaces of ...
Mediha Örkcü, Sergei V. Pereverzyev
wiley   +1 more source

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, Mohammad Mursaleen, Asif Khan, Zaheer Abbas   +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
doaj   +1 more source

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

Voronovskaya‐type theorems for Urysohn type nonlinear Bernstein operators

Mathematical Methods in the Applied Sciences, 2018
The concern of this paper is to continue the investigation of convergence properties of nonlinear approximation operators, which are defined by Karsli. In details, the paper centers around Urysohn‐type nonlinear counterpart of the Bernstein operators.
openaire   +2 more sources

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, Amal K. Hassan, Mehmet Ünver   +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, Yuan, Linglong, Zazanis, Michael A.   +2 more
core   +1 more source

Quantitative Voronovskaya type theorems for a general sequence of linear positive operators

Filomat, 2019
The present paper deal with the obtaining quantitative form of the results presented Butzer & Karsli [1]. That is, we prove quantitative simultaneous results by general sequence of positive linear operators which are valid for unbounded functions with polynomial growth.
Aral, Ali, Tachev, Gancho
openaire   +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, Asif Khan, Zaheer Abbas, Qing-Bo Cai   +3 more
doaj   +1 more source