Approximation properties of q-Kantorovich-Stancu operator

6533b833fe1ef96bd129b8b2

RESEARCH PRODUCT

Approximation properties of q-Kantorovich-Stancu operator

Shin Min Kang Ana Maria Acu Arif Rafiq Young Chel Kwun

subject

Operator (computer programming)Rate of convergence Statistical approximation Applied Mathematics Mathematical analysis Discrete Mathematics and Combinatorics Spouge's approximation Spectral theorem Operator theory Operator norm Analysis Modulus of continuity Mathematics

description

In this paper we study some properties of Kantorovich-type generalizations of the q-Stancu operators. We obtain some approximation properties for these operators, estimating the rate of convergence by using the first and second modulus of continuity. Also, we investigate the statistical approximation properties of the q-Kantorovich-Stancu operators using the Korovkin-type statistical approximation theorem.

year	journal	country	edition	language
2015-06-27	Journal of Inequalities and Applications

https://doi.org/10.1186/s13660-015-0729-x

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