Displaying similar documents to “On the degree of strong approximation of integrable functions in Stepanov sense”

Pointwise strong approximation of almost periodic functions

Radosława Kranz, Włodzimierz Łenski, Bogdan Szal (2016)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

Similarity:

We consider the class GM(₂β) in pointwise estimate of the deviations in strong mean of almost periodic functions from matrix means of partial sums of their Fourier series.

On almost periodicity defined via non-absolutely convergent integrals

Dariusz Bugajewski, Adam Nawrocki (2025)

Czechoslovak Mathematical Journal

Similarity:

We investigate some properties of the normed space of almost periodic functions which are defined via the Denjoy-Perron (or equivalently, Henstock-Kurzweil) integral. In particular, we prove that this space is barrelled while it is not complete. We also prove that a linear differential equation with the non-homogenous term being an almost periodic function of such type, possesses a solution in the class under consideration.

Almost periodic generalized solutions of differential equations

Chikh Bouzar, Fethia Ouikene (2021)

Mathematica Bohemica

Similarity:

The paper aims to study systems of linear ordinary differential equations in the context of an algebra of almost periodic generalized ultradistributions. Conditions on the existence of generalized solutions are given.

Almost periodic solutions with a prescribed spectrum of systems of linear and quasilinear differential equations with almost periodic coefficients and constant time lag (Cauchy integral)

Alexandr Fischer (1999)

Mathematica Bohemica

Similarity:

This paper generalizes earlier author's results where the linear and quasilinear equations with constant coefficients were treated. Here the method of limit passages and a fixed-point theorem is used for the linear and quasilinear equations with almost periodic coefficients.