Equivalent almost periodic functions in terms of the new property of almost equality
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Título: | Equivalent almost periodic functions in terms of the new property of almost equality |
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Autor/es: | Sepulcre, Juan Matias | Vidal, Tomás |
Grupo/s de investigación o GITE: | Curvas Alpha-Densas. Análisis y Geometría Local |
Centro, Departamento o Servicio: | Universidad de Alicante. Departamento de Matemáticas |
Palabras clave: | Almost equal functions | Almost periodic functions | *-equivalence | SV-equivalence | Almost equality by translations | ϵ-translation numbers |
Fecha de publicación: | 16-ene-2022 |
Editor: | Taylor & Francis |
Cita bibliográfica: | Quaestiones Mathematicae. 2023, 46(1): 147-160. https://doi.org/10.2989/16073606.2021.2012291 |
Resumen: | In this paper we introduce the notion of almost equality (or, more specifically, almost equality by translations) of complex functions of an unrestricted real variable in terms of the new concept of ϵ-translation number of a function with respect to other one, which is inspired by Bohr’s notion of ϵ-translation number associated with an almost periodic function. We develop the main properties of this new class of functions and obtain a characterization through a very important equivalence relation which we introduced in previous papers in the context of the almost periodicity. |
Patrocinador/es: | The first author was supported by PGC2018-097960-B-C22 (MCIU/AEI/ERDF, UE). |
URI: | http://hdl.handle.net/10045/132163 |
ISSN: | 1607-3606 (Print) | 1727-933X (Online) |
DOI: | 10.2989/16073606.2021.2012291 |
Idioma: | eng |
Tipo: | info:eu-repo/semantics/article |
Derechos: | © 2021 NISC (Pty) Ltd |
Revisión científica: | si |
Versión del editor: | https://doi.org/10.2989/16073606.2021.2012291 |
Aparece en las colecciones: | INV - CADAGL - Artículos de Revistas INV - GAM - Artículos de Revistas |
Archivos en este ítem:
Archivo | Descripción | Tamaño | Formato | |
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Sepulcre_Vidal_2023_QuaestionesMathematicae_accepted.pdf | Accepted Manuscript (acceso abierto) | 441,23 kB | Adobe PDF | Abrir Vista previa |
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