Results 1 to 10 of about 819,581 (91)
Asymptotic formula in simultaneous approximation for certain Ismail-May-Baskakov operators [PDF]
Journal of Numerical Analysis and Approximation Theory, 2021 In the present paper, we introduce a modification of Ismail-May operators having weights of Baskakov basis functions. We estimate weighted Korovkin's theorem and difference estimates between two operators and establish a Voronovskaja type asymptotic ...
Vijay Gupta, Michael Th. Rassias
doaj +10 more sources
Statistical weighted A-summability with application to Korovkin’s type approximation theorem
Journal of Inequalities and Applications, 2016 We introduce the notion of statistical weighted A-summability of a sequence and establish its relation with weighted A-statistical convergence. We also define weighted regular matrix and obtain necessary and sufficient conditions for the matrix A to be ...
Syed Abdul Mohiuddine
doaj +3 more sources
A note on the convergence of Phillips operators by the sequence of functions via q-calculus
Demonstratio Mathematica, 2022 The basic aim of this study is to include nonnegative real parameters to allow for approximation findings of the Stancu variant of Phillips operators.
Kiliçman Adem +2 more
doaj +2 more sources
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In this article, we establish a weighted Korovkin‐type approximation theorem within the framework of power series statistical convergence and provide a systematic extension of classical Korovkin theory to weighted function spaces.
D. Söylemez
semanticscholar +2 more sources
Approximation by Jakimovski–Leviatan-beta operators in weighted space
Advances in Differential Equations, 2020 The main purpose of this article is to introduce a more generalized version of Jakimovski–Leviatan-beta operators through the Appell polynomials. We present some uniform convergence results of these operators via Korovkin’s theorem and obtain the rate of
M. Nasiruzzaman, M. Mursaleen
semanticscholar +2 more sources
Weighted (Eλ, q)(Cλ, 1) Statistical Convergence and Some Results Related to This Type of Convergence
Symmetry, 2022 In this paper, we defined weighted (Eλ,q)(Cλ,1) statistical convergence. We also proved some properties of this type of statistical convergence by applying (Eλ,q)(Cλ,1) summability method.
Ekrem Aljimi +3 more
semanticscholar +1 more source
Weighted Approximation Properties of New (p, q)—Analogue of Balazs Szabados Operators
Journal of Applied Mathematics and Computation, 2021 Korovkin-type theorems provide simple and useful tools for finding out whether a given sequence of positive linear operators, acting on some function space is an approximation processor, equivalently, converges strongly to the identity operator.
Hayatem Hamal, P. Sabancigil
semanticscholar +1 more source
Convergence of Certain Baskakov Operators of Integral Type
Symmetry, 2021 In the present paper, we propose a Baskakov operator of integral type using a function φ on [0,∞) with the properties: φ(0)=0,φ′>0 on [0,∞) and limx→∞φ(x)=∞. The proposed operators reproduce the function φ and constant functions.
M. Birou, C. Muraru, V. Radu
semanticscholar +1 more source
A Nonlinear Extension of Korovkin’s Theorem [PDF]
Mediterranean Journal of Mathematics, 2020 In this paper, we extend the classical Korovkin theorems to the framework of comonotone additive, sublinear, and monotone operators. Based on the theory of Choquet capacities, several concrete examples illustrating our results are also discussed.
S. Gal, Constantin P. Niculescu
semanticscholar +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 +2 more
wiley +1 more source