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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| Format: | Article |
| Language: | English |
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MDPI AG
2020-06-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/8/6/928 |
| _version_ | 1797566003345883136 |
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| author | Marko Kostić Wei-Shih Du |
| author_facet | Marko Kostić Wei-Shih Du |
| author_sort | Marko Kostić |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-03-10T19:20:40Z |
| format | Article |
| id | doaj.art-3c5ae7cbd3144443a469a604897eb6a6 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T19:20:40Z |
| publishDate | 2020-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-3c5ae7cbd3144443a469a604897eb6a62023-11-20T03:01:26ZengMDPI AGMathematics2227-73902020-06-018692810.3390/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 |
| 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 |
| title | 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_short | Generalized Almost Periodicity in Lebesgue Spaces with Variable Exponents |
| title_sort | generalized almost periodicity in lebesgue spaces with variable exponents |
| 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 |