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On unbounded almost periodic functions in Hausdorff metric

Stoiński S.

Commentationes Mathematicae

2013

Vol 53, No. 1

17--22

In this article we give the definition and some properties of unbounded almost periodic functions in Hausdorff metric. Moreover, we examine almost periodicity of the inverse of a generalized trigonometric polynomial of constant sign.

On the almost periodicity of a generalized trigonometric polynomial

Stoiński S.

Commentationes Mathematicae

2013

Vol. 53, No. 2

163--170

This paper presents some remarks on various types of the almost periodicity of a generalized trigonometric polynomial and of the inverse of a generalized trigonometric polynomial of constant sign.

Some remarks on almost periodic functions

Adamczak M.

Fasciculi Mathematici

2002

Nr 33

5-19

In this paper we present the definition and some properties of (IC)-a.p. functions, i.e. uniformly almost periodic (IC)(n)-a.p. functions with their indefinite integrals. Next, we give the definition and some properties of (IC)(n) -a.p. functions, i.e. uniformly almost periodic functions with their n derivatives and indefinite indegrals, and (IC)(n) -a.p. functions, i.e. uniformly almost periodic functions with their every derivatives, with respect to a positive sequence a = (a1), and indefinite integrals.

Some remarks on spaces of almost periodic functions

Stoiński S.

Fasciculi Mathematici

2001

Nr 31

105-115

In this note we present remarks on completeness of spaces of almost periodic functions of various types and some theorems on connection between almost periodicity of the derivative and the indefinite integral of the function and almost periodicity of the function.

On the indefinite integral and approximation of H-almost periodic functions

Stoiński S.

Fasciculi Mathematici

1999

Nr 29

133-137

The paper gives a theorem on the indefinite integral of H-almost periodic function and a theorem on approximation of an H-almost periodic function by means Steklov functions.

On compactness of almost periodic functions in the Lebesgue measure

Stoiński S.

Fasciculi Mathematici

1999

Nr 30

171-175