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 …

On One- and Two-Dimensional α–Stancu–Schurer–Kantorovich Operators and Their Approximation Properties

M Heshamuddin, N Rao, BP Lamichhane, A Kiliçman… - Mathematics, 2022 - mdpi.com
The goal of this research article is to introduce a sequence of α–Stancu–Schurer–
Kantorovich operators. We calculate moments and central moments and find the order of …

Convergence of -Bernstein operators via power series summability method

NL Braha, T Mansour, M Mursaleen, T Acar - Journal of Applied …, 2021 - Springer
In this paper we present uniform convergence of a sequence of λ λ-Bernstein operators via A-
statistical convergence and power summability method. A rate of convergence of the …

Approximation properties of univariate and bivariate new class -Bernstein–Kantorovich operators and its associated GBS operators

R Aslan - Computational and Applied Mathematics, 2023 - Springer
The main objective of this work is to derive some approximation properties of univariate and
bivariate Kantorovich type new class Bernstein operators by means of shape parameter λ∈ …

Some Approximation Results on Szasz-Mirakjan-Kantorovich Operators

R Aslan - Fundamental Journal of Mathematics and Applications, 2021 - dergipark.org.tr
In this article, we purpose to obtain several approximation properties of Sz\'{a} sz-Mirakjan-
Kantorovich operators with shape parameter $\lambda\in\lbrack-1, 1] $. We compute some …

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 …

On new Bézier bases with Schurer polynomials and corresponding results in approximation theory

F Özger - Communications Faculty of Sciences University of …, 2020 - dergipark.org.tr
A new type Bézier bases with λ shape parameters have been defined< cite> ye</cite>. We
slightly modify these bases to establish new Bézier bases with Schurer polynomials and λ …

[PDF][PDF] Some approximation results on a class of new type λ-Bernstein polynomials

R Aslan, M Mursaleen - J. Math. Inequal, 2022 - files.ele-math.com
The main concern of this article is to acquire some approximation properties of a new class
of Bernstein polynomials based on Bézier basis functions with shape parameter λ∈[− 1, 1] …

Approximation properties of Riemann-Liouville type fractional Bernstein-Kantorovich operators of order

E Baytunç, H Aktuğlu, NI Mahmudov - Mathematical Foundations of …, 2024 - aimsciences.org
In this paper, we construct a new sequence of Riemann-Liouville type fractional Bernstein-
Kantorovich operators Kα n (f; x) depending on a parameter α. We prove a Korovkin type …

Approximation by Kantorovich Variant of λ—Schurer Operators and Related Numerical Results

F Özger, K Demirci - Topics in contemporary mathematical …, 2020 - taylorfrancis.com
Functions have been widely approximated by positive linear operators. Sergei Natanovich
Bernstein first used the known polynomials in the approximation theory to prove Weierstrass' …