Some majorization integral inequalities for functions defined on rectangles

In this paper, we first prove an integral majorization theorem related to integral inequalities for functions defined on rectangles. We then apply the result to establish some new integral inequalities for functions defined on rectangles. The results obtained are generalizations of weighted Favard’s...

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Detalles Bibliográficos
Autores principales: Wu, Shanhe, Adil Khan, Muhammad, Basir, Abdul, Saadati, Reza
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6019462/
https://www.ncbi.nlm.nih.gov/pubmed/30008534
http://dx.doi.org/10.1186/s13660-018-1739-2
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author Wu, Shanhe
Adil Khan, Muhammad
Basir, Abdul
Saadati, Reza
author_facet Wu, Shanhe
Adil Khan, Muhammad
Basir, Abdul
Saadati, Reza
author_sort Wu, Shanhe
collection PubMed
description In this paper, we first prove an integral majorization theorem related to integral inequalities for functions defined on rectangles. We then apply the result to establish some new integral inequalities for functions defined on rectangles. The results obtained are generalizations of weighted Favard’s inequality, which also provide a generalization of the results given by Maligranda et al. (J. Math. Anal. Appl. 190:248–262, 1995) in an earlier paper.
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spelling pubmed-60194622018-07-11 Some majorization integral inequalities for functions defined on rectangles Wu, Shanhe Adil Khan, Muhammad Basir, Abdul Saadati, Reza J Inequal Appl Research In this paper, we first prove an integral majorization theorem related to integral inequalities for functions defined on rectangles. We then apply the result to establish some new integral inequalities for functions defined on rectangles. The results obtained are generalizations of weighted Favard’s inequality, which also provide a generalization of the results given by Maligranda et al. (J. Math. Anal. Appl. 190:248–262, 1995) in an earlier paper. Springer International Publishing 2018-06-27 2018 /pmc/articles/PMC6019462/ /pubmed/30008534 http://dx.doi.org/10.1186/s13660-018-1739-2 Text en © The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Wu, Shanhe
Adil Khan, Muhammad
Basir, Abdul
Saadati, Reza
Some majorization integral inequalities for functions defined on rectangles
title Some majorization integral inequalities for functions defined on rectangles
title_full Some majorization integral inequalities for functions defined on rectangles
title_fullStr Some majorization integral inequalities for functions defined on rectangles
title_full_unstemmed Some majorization integral inequalities for functions defined on rectangles
title_short Some majorization integral inequalities for functions defined on rectangles
title_sort some majorization integral inequalities for functions defined on rectangles
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6019462/
https://www.ncbi.nlm.nih.gov/pubmed/30008534
http://dx.doi.org/10.1186/s13660-018-1739-2
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AT basirabdul somemajorizationintegralinequalitiesforfunctionsdefinedonrectangles
AT saadatireza somemajorizationintegralinequalitiesforfunctionsdefinedonrectangles

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