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1
Content available remote On unbounded almost periodic functions in Hausdorff metric
Stoiński S.
Commentationes Mathematicae
|
2013
|
Vol 53, No. 1
17--22
EN
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.
2
Content available remote On the almost periodicity of a generalized trigonometric polynomial
Stoiński S.
Commentationes Mathematicae
|
2013
|
Vol. 53, No. 2
163--170
EN
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.
3
Content available remote A note on the primitive function of a Bohr almost periodic function
Stoiński S.
Commentationes Mathematicae
|
2011
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Vol. 51, [Z] 1
77-80
EN
In this article we prove a sufficient condition for the primitive function of a uniformly almost periodic function to be Bohr almost periodic.
4
Content available remote On the quasi N-almost periodic functions
Stoiński S.
Commentationes Mathematicae
|
2010
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Vol. 50, [Z] 1
61-67
EN
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.
5
Content available remote On the rate of summability of Fourier series by means of the method of the Voronoi-Nörlund
Stoiński S.
Commentationes Mathematicae
|
2009
|
Vol. 49, [Z] 1
27-31
EN
In this note we present the theorem on the rate of pointwise summability of Fourier series by means of generalized Voronoi-Nörlund sums.
6
Content available remote On the almost periodic functions in the sense of Levitan
Michałowicz A., Stoiński S.
Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
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2007
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Vol. 47, [Z] 2
149-159
EN
In this note we present some theorems on the superposition of an (NVp)-almost periodic (a.p. for short) function, a μ-a.p. function and an (Nμ)-a.p. function. Moreover, we prove a theorem on the bounded primary function of an (NS^p)-a.p. function. Finally, we prove that the inverse of a V_p-a.p. function is (NV_p)-a.p.
7
Content available remote A note on N-almost periodic functions and (NI)-almost periodic functions
Stoiński S.
Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
|
2004
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Vol. 44, nr 2
199-204
EN
This paper presents some remarke on the N-almost periodic functions and the definitions and some properties of the (NI)-almost periodic functions, i.e. almost periodic functions in the sense of Levitan with its primary function.
8
Content available remote An application of modular spaces to approximation problems, IX
Stoiński S.
Fasciculi Mathematici
|
2002
|
Nr 33
89-97
EN
By means of terms of a sequence (pn), where pn, n = l,2,..., are pseudomodulars, and by means of an infinite matrix A = [amn ] of non-negative numbers we shall construct the modular spaces XpAos' and Xp^os. Then we shall approximate elements of these spaces by means of terms of a sequence (p.), where p, i = l,2,..., are pseudomodulars. In particular, we will investigate the special cases when pn and pt are singular integrals.
9
Content available remote On a generalized summation of Fourier series by means of the method of the Borel type
Stoiński S.
Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
|
2002
|
[Z] 42(2)
251-259
EN
In this note we present theorems on the pointwise summability of Fourier series by means of a generalized sums of the Borel type.
10
Content available remote Some remarks on spaces of almost periodic functions
Stoiński S.
Fasciculi Mathematici
|
2001
|
Nr 31
105-115
EN
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.
11
Content available remote N- almost periodic in the sense of variation functions
Stoiński S.
Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
|
2001
|
[Z] 41
195-202
EN
In this paper we present the definitions and some theorems on (N,V) - almost periodic (a.p.) functions (N,S^p)-a.p. functions and (N,V_p)-a.p. functions. We prove that if f is an (N,S)-a.p. function and the indefinite integral F of f is bounded, them F is (N,V)-a.p.
12
Content available remote An application of modular spaces to approximation problems, VII
Stoiński S.
Demonstratio Mathematica
|
2000
|
Vol. 33, nr 4
805-814
13
Content available remote On the derivative of a Bohr's almost periodic function
Stoiński S.
Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
|
2000
|
[Z] 40
174-180
EN
In this note we present some theorems on the connection between a continuity of the derivative f' of a Bohr's almost periodic function f and an almost periodicity of f'.
14
Content available remote On the indefinite integral and approximation of H-almost periodic functions
Stoiński S.
Fasciculi Mathematici
|
1999
|
Nr 29
133-137
EN
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.
15
Content available remote On compactness of almost periodic functions in the Lebesgue measure
Stoiński S.
Fasciculi Mathematici
|
1999
|
Nr 30
171-175
16
Content available remote Approximation with respect to a measure in a modular space, VI
Stoiński S.
Fasciculi Mathematici
|
1999
|
Nr 29
125-131
EN
Elements of a modular subspace of [...] are approximated by certain singular integrals.
17
Content available remote (VC)(n)-almost periodic functions
Stoiński S.
Demonstratio Mathematica
|
1999
|
Vol. 32, nr 2
377-383
EN
In this note we give the definition and some properties of (VC) (n)-almost periodic functions, i,e, uniformly almost periodic and almost periodic in variation functions with first n derivatives.
18
Content available remote Approximation by means of certain non-linear operators in some modular spaces
Stoiński S.
Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
|
1999
|
[Z] 39
173-180
EN
Elements of certain modular spaces are approximated by certain singular integrals.
19
Content available remote On compactness in variation of almost periodic functions
Stoiński S.
Demonstratio Mathematica
|
1998
|
Vol. 31, nr 1
131-134
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