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On unbounded almost periodic functions in~Hausdorff metric

Stanisław Stoiński — 2013

Commentationes Mathematicae

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.

A note on the primitive function of a Bohr almost periodic function

Stanisław Stoiński — 2011

Commentationes Mathematicae

In this article we prove a sufficient condition for the primitive function of a uniformly almost periodic function to be Bohr almost periodic.

On the quasi $N$ -almost periodic functions

Stanisław Stoiński — 2010

Commentationes Mathematicae

In this note we present the definition, examples and some properties of quasi N-almost periodic functions, i. e. certain almost periodic functions in the sense of Levitan.

On the almost periodicity of a generalized trigonometric polynomial

Stanisław Stoiński — 2013

Commentationes Mathematicae

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.

On the almost periodic functions in the sense of Levitan

Adrian Michałowicz; Stanisław Stoiński — 2007

Commentationes Mathematicae

In this note we present some theorems on the superposition of an $(N V_{p})$ -almost periodic (a.p. for short) function, a $μ$ -a.p. function and an $(N μ)$ -a.p. function. Moreover, we prove a theorem on the bounded primary function of an $(N S_{p})$ -a.p. function. Finally, we prove that the inverse of a $V_{p}$ -a.p. function is $(N V_{p})$ -a.p.

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Currently displaying 1 – 5 of 5

On unbounded almost periodic functions in~Hausdorff metric

A note on the primitive function of a Bohr almost periodic function

On the quasi $N$ -almost periodic functions

On the almost periodicity of a generalized trigonometric polynomial

On the almost periodic functions in the sense of Levitan

Advanced Search

Formula preview

Currently displaying 1 – 5 of 5

On unbounded almost periodic functions in~Hausdorff metric

A note on the primitive function of a Bohr almost periodic function

On the quasi N -almost periodic functions

On the almost periodicity of a generalized trigonometric polynomial

On the almost periodic functions in the sense of Levitan

On the quasi $N$ -almost periodic functions