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The q− Bernstein-Schurer summation type operators are modified in order to make them applicable for approximation of integrable functions. The aim of the paper is twofold. Firstly, to find refined… Click to show full abstract
The q− Bernstein-Schurer summation type operators are modified in order to make them applicable for approximation of integrable functions. The aim of the paper is twofold. Firstly, to find refined error estimates, |S n,p,q ( f )(x) − f (x)| without using Schwarz’s inequality. Secondly, to obtain a generalized Voronovskaya type asymptotic formula. The rate of approximation in terms of modulus of smoothness are also established.
Keywords:
bernstein;
type integral;
kantorovich type;
integral modification;
bernstein schurer
Journal Title: Filomat
Year Published: 2018
Link to full text (if available)
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Journal Title: Filomat
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!