Smoothness properties of modified Bernstein-Kantorovich operators

MA Özarslan, O Duman - Numerical Functional Analysis and …, 2016 - Taylor & Francis
In this article, we consider modified Bernstein-Kantorovich operators and investigate their
approximation properties. We show that the order of approximation to a function by these …

Some Approximation Properties of q‐Baskakov‐Beta‐Stancu Type Operators

VN Mishra, K Khatri… - Journal of Calculus of …, 2013 - Wiley Online Library
This paper deals with new type q‐Baskakov‐Beta‐Stancu operators defined in the paper.
First, we have used the properties of q‐integral to establish the moments of these operators …

-gamma operators which preserve

WT Cheng, WH Zhang, QB Cai - Journal of Inequalities and Applications, 2019 - Springer
In this paper, we introduce (p, q) (p,q)-gamma operators which preserve x 2 x^2, we estimate
the moments of these operators, and establish direct and local approximation theorems of …

Construction of a new modification of Baskakov operators on (0,∞)

WT Cheng, SA Mohiuddine - Filomat, 2023 - doiserbia.nb.rs
In this manuscript, we construct new modification of Baskakov operators on (0,∞) using the
second central moment of the classical Baskakov operators. And the moments and the …

Baskakov operators and Jacobi weights: pointwise estimates

J Bustamante, JJ Merino-García… - Journal of Inequalities and …, 2021 - Springer
Baskakov operators and Jacobi weights: pointwise estimates | Journal of Inequalities and
Applications Skip to main content SpringerLink Account Menu Find a journal Publish with us …

The negative degree q-Bernstein bases and the multirational q-blossom

OO Tuncer, P Simeonov… - Rocky Mountain Journal of …, 2023 - projecteuclid.org
We investigate algebraic properties of the negative degree q-Bernstein bases. Our
fundamental tool in this investigation is a recently introduced variant of the blossom, the …

[引用][C] Applications of q-Calculus in Operator Theory

A Aral - 2013 - Springer

[PDF][PDF] Voronovskaya type result for q-derivative of q-Baskakov operators

A Aral, T Acar - J. Appl. Funct. Anal, 2012 - researchgate.net
The present article deals with the obtaining a Voronovskaya type result for q# derivative of
q# Baskakov operators attached to functions in polyno# mial weighted space. For this aim …

On the rate of approximation by q modified Beta operators

V Gupta, T Kim - Journal of mathematical analysis and applications, 2011 - Elsevier
In the present paper we propose the q analogue of the modified Beta operators. We apply q-
derivatives to obtain the central moments of the discrete q-Beta operators. A direct result in …

A note on q-Baskakov-Szász operators

V Gupta - Lobachevskii Journal of Mathematics, 2010 - Springer
In this paper we introduce the q analogue of the well known Baskakov-Szász type operators.
We estimate the moments, and established direct results in terms of modulus of continuity …