@Article{JMS-47-4, author = {Qing-Bo, Cai}, title = {Properties of Convergence for a Class of Generalized $q$-Gamma Operators. }, journal = {Journal of Mathematical Study}, year = {2014}, volume = {47}, number = {4}, pages = {388--395}, 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.

}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v47n4.14.03}, url = {https://global-sci.com/article/87857/properties-of-convergence-for-a-class-of-generalized-q-gamma-operators} }