Results 21 to 30 of about 4,577,180 (288)

Diophantine approximations and almost periodic functions

open access: yesDemonstratio Mathematica, 2017
In this paper we investigate the asymptotic behaviour of the classical continuous and unbounded almost periodic function in the Lebesgue measure.Using diophantine approximations we show that this function can be estimated by functions of polynomial type ...
Nawrocki Adam
doaj   +1 more source

Almost periodic sequences and functions with given values [PDF]

open access: yes, 2011
summary:We present a method for constructing almost periodic sequences and functions with values in a metric space. Applying this method, we find almost periodic sequences and functions with prescribed values.
Veselý, Michal
core   +1 more source

Approximation of almost periodic functions by periodic ones [PDF]

open access: yes, 1998
summary:It is not the purpose of this paper to construct approximations but to establish a class of almost periodic functions which can be approximated, with an arbitrarily prescribed accuracy, by continuous periodic functions uniformly on ${\mathbb R} =
Fischer, Alexander
core   +1 more source

On the relationship of Cm $C^{m}$-almost periodicity on R $\mathbb {R}$ and time scales

open access: yesAdvances in Difference Equations, 2018
In this paper, we improve the concept of Cm $C^{m}$-almost periodicity on periodic time scales. The concept is based on the revised definition of almost periodicity introduced by Wang and Agarwal in 2015.
Yan Wang
doaj   +1 more source

A matched space for time scales and applications to the study on functions

open access: yesAdvances in Difference Equations, 2017
In this paper, using the algebraic structure of the Abelian group, we introduce the concept of a matched space for time scales, and we construct the algebraic structure of matched spaces to solve the closedness of time scales under non-translational ...
Chao Wang   +2 more
doaj   +1 more source

Almost Periodic Functions and Their Applications: A Survey of Results and Perspectives

open access: yesJournal of Mathematics, 2021
The main aim of this survey article is to present several known results about vector-valued almost periodic functions and their applications. We separately consider almost periodic functions depending on one real variable and almost periodic functions ...
Wei-Shih Du, Marko Kostić, Manuel Pinto
doaj   +1 more source

Subharmonic Almost Periodic Functions

open access: yes, 2007
We prove that almost periodicity in the sense of distributions coincides with almost periodicity with respect to Stepanov's metric for the class of subharmonic functions in a horizontal strip. We also prove that Fourier coefficients of these functions are continuous functions in Im z.
Rakhnin, A.V., Favorov, S.Yu.
openaire   +4 more sources

Characterizations of vector-valued weakly almost periodic functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2003
We characterize the weak almost periodicity of a vector-valued, bounded, continuous function. We show that if the range of the function is relatively weakly compact, then the relative weak compactness of its right orbit is equivalent to that of its left ...
Chuanyi Zhang
doaj   +1 more source

Vector-valued means and weakly almost periodic functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1994
A formula is set up between vector-valued mean and scalar-valued means that enables us translate many important results about scalar-valued means developed in [1] to vector-valued means.
Chuanyi Zhang
doaj   +1 more source

Extreme points of the Besicovitch--Orlicz space of almost periodic functions equipped with the Luxemburg norm [PDF]

open access: yes, 2021
summary:We investigate which points in the unit sphere of the Besicovitch--Orlicz space of almost periodic functions, equipped with the Luxemburg norm, are extreme points.
Boulahia, Fatiha, Hassaine, Slimane
core   +1 more source

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