Norm Inequalities via Convex and Log-Convex Functions

Revista con referato

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Autores principales: Conde, Cristian Marcelo, Minculete, Nicusor, Moradi, Hamid Reza, Sababheh, Mohammad
Formato: Artículo publishedVersion
Lenguaje:Inglés
Publicado: Birkhauser Verlag Ag 2026
Materias:
Inner Product Space
Triangle Inequality
Cauchy-Schwarz Inequality
Log-Convex Function
Matemáticas
Matemática Pura
Acceso en línea:http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2718
Aporte de:
Repositorio Institucional Digital de Acceso Abierto (UNGS) de Universidad Nacional de General Sarmiento
id I71-R177-UNGS-2718
record_format dspace
spelling I71-R177-UNGS-27182026-01-15T10:03:37Z Norm Inequalities via Convex and Log-Convex Functions Conde, Cristian Marcelo Minculete, Nicusor Moradi, Hamid Reza Sababheh, Mohammad Inner Product Space Triangle Inequality Cauchy-Schwarz Inequality Log-Convex Function Matemáticas Matemática Pura Revista con referato Fil: Conde, Cristian Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Fil: Conde, Cristian Marcelo. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina. Fil: Minculete, Nicusor. Transilvania University; Rumania. Fil: Moradi, Hamid Reza. Payame Noor University; Irán. Fil: Sababheh, Mohammad. Princess Sumaya University For Technology; Jordania. In this paper, we study the norm and skew angular distances in a normed space , where convex functions are used to obtain refinements and reverses of some outstanding results in the literature. For example, in this regard, we show that if are non-zero and if are such that , then where , and . Then we explain how this result extends some known results in the literature. Many other related results will be also shown. Then, with the theme of convexity, we employ a log-convex approach on certain matrix functions to obtain improvements and new sights of some matrix inequalities, including possible bounds of where A, B are positive definite matrices, X is an arbitrary matrix, is a unitarily invariant norm and Many other results involving matrix and scalar log-convex functions will be presented too. 2026-01-15T10:01:58Z 2026-01-15T10:01:58Z 2023 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion Conde, C. M., Minculete, N., Moradi, H. R. y Sababheh, M. (2023). Norm Inequalities via Convex and Log-Convex Functions. Mediterranean Journal Of Mathematics, 20(1), 1-21. 1660-5446 http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2718 eng dx.doi.org/10.1007/s00009-022-02214-z info:eu-repo/semantics/restrictedAccess https://creativecommons.org/licenses/by-nc-nd/4.0/ application/pdf Birkhauser Verlag Ag Mediterranean Journal Of Mathematics. Ene. 2023; 20(1): 1-21
institution Universidad Nacional de General Sarmiento
institution_str I-71
repository_str R-177
collection Repositorio Institucional Digital de Acceso Abierto (UNGS)
language Inglés
orig_language_str_mv eng
topic Inner Product Space
Triangle Inequality
Cauchy-Schwarz Inequality
Log-Convex Function
Matemáticas
Matemática Pura
spellingShingle Inner Product Space
Triangle Inequality
Cauchy-Schwarz Inequality
Log-Convex Function
Matemáticas
Matemática Pura
Conde, Cristian Marcelo
Minculete, Nicusor
Moradi, Hamid Reza
Sababheh, Mohammad
Norm Inequalities via Convex and Log-Convex Functions
topic_facet Inner Product Space
Triangle Inequality
Cauchy-Schwarz Inequality
Log-Convex Function
Matemáticas
Matemática Pura
description Revista con referato
format Artículo
Artículo
publishedVersion
author Conde, Cristian Marcelo
Minculete, Nicusor
Moradi, Hamid Reza
Sababheh, Mohammad
author_facet Conde, Cristian Marcelo
Minculete, Nicusor
Moradi, Hamid Reza
Sababheh, Mohammad
author_sort Conde, Cristian Marcelo
title Norm Inequalities via Convex and Log-Convex Functions
title_short Norm Inequalities via Convex and Log-Convex Functions
title_full Norm Inequalities via Convex and Log-Convex Functions
title_fullStr Norm Inequalities via Convex and Log-Convex Functions
title_full_unstemmed Norm Inequalities via Convex and Log-Convex Functions
title_sort norm inequalities via convex and log-convex functions
publisher Birkhauser Verlag Ag
publishDate 2026
url http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2718
work_keys_str_mv AT condecristianmarcelo norminequalitiesviaconvexandlogconvexfunctions
AT minculetenicusor norminequalitiesviaconvexandlogconvexfunctions
AT moradihamidreza norminequalitiesviaconvexandlogconvexfunctions
AT sababhehmohammad norminequalitiesviaconvexandlogconvexfunctions
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