On the degree of strong approximation of integrable functions in Stepanov sense

Włodzimierz Łenski; Bogdan Szal

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

Pointwise strong approximation of almost periodic functions

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Discussiones Mathematicae, Differential Inclusions, Control and Optimization

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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

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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)

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J. W. McCoy (1970)

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Crombez, G. (1983)

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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

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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.