Numerical and theoretical approximation results for Schurer–Stancu operators with shape parameter

KJ Ansari, F Özger, Z Ödemiş Özger - Computational and Applied …, 2022 - Springer
In this paper, we focus on pointwise and weighted approximation properties of newly
defined Stancu variant of λ-Schurer operators. We establish a direct local approximation …

A link between approximation theory and summability methods via four-dimensional infinite matrices

HM Srivastava, KJ Ansari, F Özger, Z Ödemiş Özger - Mathematics, 2021 - mdpi.com
In this study, we present a link between approximation theory and summability methods by
constructing bivariate Bernstein-Kantorovich type operators on an extended domain with …

Construction of q-Baskakov Operators by Wavelets and Approximation Properties

M Nasiruzzaman, A Kilicman… - Iranian Journal of …, 2022 - Springer
We use wavelets to define the Kantorovich variant of q-Baskakov type operators, and for 1≤
p<∞, we study the L p-approximation. Let ξ be any positive constant and Ψ k (x) be any …

Rate of weighted statistical convergence for generalized blending-type Bernstein-Kantorovich operators

F Özger, E Aljimi, M Temizer Ersoy - Mathematics, 2022 - mdpi.com
An alternative approach, known today as the Bernstein polynomials, to the Weierstrass
uniform approximation theorem was provided by Bernstein. These basis polynomials have …

Applications of generalized weighted statistical convergence to approximation theorems for functions of one and two variables

F Özger - Numerical Functional Analysis and Optimization, 2020 - Taylor & Francis
In this article, we apply weighted A− statistical convergence to obtain some general
approximation results for λ− Bernstein operators. We prove a weighted A− statistical …

[HTML][HTML] Approximation by a new Stancu variant of generalized (λ, μ)-Bernstein operators

QB Cai, R Aslan, F Özger, HM Srivastava - Alexandria Engineering Journal, 2024 - Elsevier
The primary objective of this work is to explore various approximation properties of Stancu
variant generalized (λ, μ)-Bernstein operators. Various moment estimates are analyzed, and …

Statistical Blending-Type Approximation by a Class of Operators That Includes Shape Parameters λ and α

QB Cai, KJ Ansari, M Temizer Ersoy, F Özger - Mathematics, 2022 - mdpi.com
This paper is devoted to studying the statistical approximation properties of a sequence of
univariate and bivariate blending-type Bernstein operators that includes shape parameters α …

Approximation properties of extended beta-type Szász–Mirakjan operators

N Rao, M Raiz, M Ayman-Mursaleen… - Iranian Journal of …, 2023 - Springer
In this article, we introduce generalized beta extension of Sz a´ sz-integral type operators
and study their approximation properties. First, we calculate the some estimates for these …

On a New Construction of Generalized q-Bernstein Polynomials Based on Shape Parameter λ

QB Cai, R Aslan - Symmetry, 2021 - mdpi.com
This paper deals with several approximation properties for a new class of q-Bernstein
polynomials based on new Bernstein basis functions with shape parameter λ on the …

[HTML][HTML] Szász-Beta operators via Hermite polynomial

N Rao, AK Yadav, M Mursaleen, BK Sinha… - Journal of King Saud …, 2024 - Elsevier
The aim of present article is to introduce the Szász-Beta operators in terms of Hermite
Polynomial. We calculate some estimates and then discuss convergence theorems and …