Cesàro integrability and tauberian theorems in quantum calculus

Abstract

In this paper, we show some properties regarding Cesàro integrability method in quantum calculus. Moreover, we extend and generalize q-analogues of some classical Tauberian theorems given for Cesàro integrability by Fitouhi and Brahim [J. Nonlinear Math. Phys., 14 (3) (2007), 324–340]. © 2018, Sciendo. All rights reserved.