On the degree of strong approximation of almost periodic functions in the Stepanov sense

TL;DR

This paper investigates the degree of strong approximation for almost periodic functions in the Stepanov sense, extending previous results and providing a broader understanding of approximation behaviors in this function class.

Contribution

The paper generalizes and extends earlier results on strong approximation of almost periodic functions in the Stepanov sense, broadening the theoretical framework.

Findings

Extended the class of almost periodic functions in Stepanov sense

Generalized previous approximation results by Leindler and Chandra

Provided new bounds or measures for strong approximation

Abstract

Considering the class of almost periodic functions in the Stepanov sense we extend and generalize the results of the first author [4]. as well as the results of L. Leindler [3] and P. Chandra [1,2].