On the rate of convergence of modified \(\alpha\)-Bernstein operators based on q-integers

On the rate of convergence of modified \(\alpha\)-Bernstein operators based on q-integers

In the present paper we define a q-analogue of the modified a-Bernstein operators introduced by Kajla and Acar (Ann. Funct. Anal. 10 (4) 2019, 570-582). We study uniform convergence theorem and the Voronovskaja type asymptotic theorem. We determine the estimate of error in the approximation by thes...

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Bibliographic Details
Main Authors: Purshottam Agrawal, Dharmendra Kumar, Behar Baxhaku
Format: Article
Language:English
Published: Publishing House of the Romanian Academy 2022-09-01
Series:Journal of Numerical Analysis and Approximation Theory
Subjects:
Steklov mean
Peetre's K-functional
modulus of continuity
Lipschitz class
Voronovskaja type theorem
Gruss-Voronovskaja type theorem
Online Access:https://www.ictp.acad.ro/jnaat/journal/article/view/1244

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