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∈ …

Degree of approximation for bivariate generalized Bernstein type operators

T Acar, A Kajla - Results in Mathematics, 2018 - Springer
In this paper we study an extension of the bivariate generalized Bernstein operators based
on a non-negative real parameters. For these operators we obtain the order of …

Blending type approximation by GBS operators of generalized Bernstein–Durrmeyer type

A Kajla, D Miclăuş - Results in Mathematics, 2018 - Springer
In this article we study an extension of the bivariate generalized Bernstein–Durrmeyer
operators based on a non-negative real parameter. For these operators we get a …

Approximation by bivariate generalized Bernstein–Schurer operators and associated GBS operators

SA Mohiuddine - Advances in Difference Equations, 2020 - Springer
We construct the bivariate form of Bernstein–Schurer operators based on parameter α. We
establish the Voronovskaja-type theorem and give an estimate of the order of approximation …

[图书][B] Recent advances in constructive approximation theory

V Gupta, TM Rassias, PN Agrawal, AM Acu - 2018 - Springer
Recent Advances in Constructive Approximation Theory deals with various recent problems
on linear positive operators. We survey upon recent research work in this domain and also …

GBS operators of Lupaş–Durrmeyer type based on Pólya distribution

PN Agrawal, N Ispir, A Kajla - Results in Mathematics, 2016 - Springer
In this paper, we study an extension of the bivariate Lupaş–Durrmeyer operators based on
Polya distribution. For these operators we get a Voronovskaja type theorem and the order of …

Approximation by bivariate Chlodowsky type Szász–Durrmeyer operators and associated GBS operators on weighted spaces

R Aslan, M Mursaleen - Journal of Inequalities and Applications, 2022 - Springer
In this article, we consider a bivariate Chlodowsky type Szász–Durrmeyer operators on
weighted spaces. We obtain the rate of approximation in connection with the partial and …

Some approximation properties by a class of bivariate operators

AM Acu, T Acar, CV Muraru… - Mathematical Methods in …, 2019 - Wiley Online Library
Starting with the well‐known Bernstein operators, in the present paper, we give a new
generalization of the bivariate type. The approximation properties of this new class of …

On certain GBS-Durrmeyer operators based on -integers

D Barbosu, ANA ACU… - Turkish Journal of …, 2017 - journals.tubitak.gov.tr
In the present paper we introduce the $ GBS $(Generalized Boolean Sum) operators of
Durrmeyer type based on $ q $-integers and the approximation of B-continuous functions …

Inverse approximation and GBS of bivariate Kantorovich type sampling series

AS Kumar, B Shivam - Revista de la Real Academia de Ciencias Exactas …, 2020 - Springer
In this paper, we derive an inverse result for bivariate Kantorovich type sampling series for f
∈ C^(2)(R^ 2) f∈ C (2)(R 2)(the space of all continuous functions with upto second order …