Convolution Integral Operators in Variable Bounded Variation Spaces
Convolution Integral Operators in Variable Bounded Variation Spaces
Abstract Working in the frame of variable bounded variation spaces in the sense of Wiener, introduced by Castillo, Merentes, and Rafeiro, we prove convergence in variable variation by means of the classical convolution integral operators. In the proposed approach, a crucial step is the convergence of the variable modulus of …