Generalized Almost-Periodicity in Lebesgue Spaces with Variable Exponents

In this paper, we introduce and analyze Stepanov uniformly recurrent functions, Doss uniformly recurrent functions and Doss almost-periodic functions in Lebesgue spaces with variable exponents. We investigate the invariance of these types of generalized almost-periodicity in Lebesgue spaces with var...

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Main Authors:	Marko Kostić, Wei-Shih Du
Format:	Article
Language:	English
Published:	MDPI AG 2020-06-01
Series:	Mathematics
Subjects:	stepanov uniformly recurrent functions doss uniformly recurrent functions doss almost-periodic functions lebesgue spaces with variable exponents
Online Access:	https://www.mdpi.com/2227-7390/8/6/928

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spelling	doaj-3c5ae7cbd3144443a469a604897eb6a62020-11-25T02:36:16ZengMDPI AGMathematics2227-73902020-06-01892892810.3390/math8060928Generalized Almost-Periodicity in Lebesgue Spaces with Variable ExponentsMarko Kostić0Wei-Shih Du1Faculty of Technical Sciences, University of Novi Sad, Trg D. Obradovića 6, 21125 Novi Sad, SerbiaDepartment of Mathematics, National Kaohsiung Normal University, Kaohsiung 82444, TaiwanIn this paper, we introduce and analyze Stepanov uniformly recurrent functions, Doss uniformly recurrent functions and Doss almost-periodic functions in Lebesgue spaces with variable exponents. We investigate the invariance of these types of generalized almost-periodicity in Lebesgue spaces with variable exponents under the actions of convolution products, providing also some illustrative applications to the abstract semilinear integro-differential inclusions in Banach spaces.https://www.mdpi.com/2227-7390/8/6/928stepanov uniformly recurrent functionsdoss uniformly recurrent functionsdoss almost-periodic functionslebesgue spaces with variable exponents
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Marko Kostić Wei-Shih Du
spellingShingle	Marko Kostić Wei-Shih Du Generalized Almost-Periodicity in Lebesgue Spaces with Variable Exponents Mathematics stepanov uniformly recurrent functions doss uniformly recurrent functions doss almost-periodic functions lebesgue spaces with variable exponents
author_facet	Marko Kostić Wei-Shih Du
author_sort	Marko Kostić
title	Generalized Almost-Periodicity in Lebesgue Spaces with Variable Exponents
title_short	Generalized Almost-Periodicity in Lebesgue Spaces with Variable Exponents
title_full	Generalized Almost-Periodicity in Lebesgue Spaces with Variable Exponents
title_fullStr	Generalized Almost-Periodicity in Lebesgue Spaces with Variable Exponents
title_full_unstemmed	Generalized Almost-Periodicity in Lebesgue Spaces with Variable Exponents
title_sort	generalized almost-periodicity in lebesgue spaces with variable exponents
publisher	MDPI AG
series	Mathematics
issn	2227-7390
publishDate	2020-06-01
description	In this paper, we introduce and analyze Stepanov uniformly recurrent functions, Doss uniformly recurrent functions and Doss almost-periodic functions in Lebesgue spaces with variable exponents. We investigate the invariance of these types of generalized almost-periodicity in Lebesgue spaces with variable exponents under the actions of convolution products, providing also some illustrative applications to the abstract semilinear integro-differential inclusions in Banach spaces.
topic	stepanov uniformly recurrent functions doss uniformly recurrent functions doss almost-periodic functions lebesgue spaces with variable exponents
url	https://www.mdpi.com/2227-7390/8/6/928
work_keys_str_mv	AT markokostic generalizedalmostperiodicityinlebesguespaceswithvariableexponents AT weishihdu generalizedalmostperiodicityinlebesguespaceswithvariableexponents
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Generalized Almost-Periodicity in Lebesgue Spaces with Variable Exponents

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