Properties of Convergence for a Class of Generalized $q$-Gamma Operators.

Authors

  • Qing-Bo Cai School of Mathematics and Computer Sciences, Quanzhou Normal University, Quanzhou 362000, Fujian, P.R. China

DOI:

https://doi.org/10.4208/jms.v47n4.14.03

Keywords:

$q$-integer, $q$-Gamma operators, weighted approximation, modulus of continuity.

Abstract

In this paper, a generalization of $q$-Gamma operators based on the concept of $q$-integer is introduced. We investigate the moments and central moments of the operators by computation, obtain a local approximation theorem and get the pointwise convergence rate theorem and also obtain a weighted approximation theorem. Finally, a Voronovskaya type asymptotic formula was given.

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Published

2021-11-08

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Issue

Vol. 47 No. 4 (2014)

Section

Articles

How to Cite

Properties of Convergence for a Class of Generalized $q$-Gamma Operators . (2021). Journal of Mathematical Study, 47(4), 388-395. https://doi.org/10.4208/jms.v47n4.14.03