Generalized geometrically convex functions and inequalities

In this paper, we introduce and study a new class of generalized functions, called generalized geometrically convex functions. We establish several basic inequalities related to generalized geometrically convex functions. We also derive several new inequalities of the Hermite-Hadamard type for gener...

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Detalles Bibliográficos
Autores principales: Noor, Muhammad Aslam, Noor, Khalida Inayat, Safdar, Farhat
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5575034/
https://www.ncbi.nlm.nih.gov/pubmed/28932100
http://dx.doi.org/10.1186/s13660-017-1477-x
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author Noor, Muhammad Aslam
Noor, Khalida Inayat
Safdar, Farhat
author_facet Noor, Muhammad Aslam
Noor, Khalida Inayat
Safdar, Farhat
author_sort Noor, Muhammad Aslam
collection PubMed
description In this paper, we introduce and study a new class of generalized functions, called generalized geometrically convex functions. We establish several basic inequalities related to generalized geometrically convex functions. We also derive several new inequalities of the Hermite-Hadamard type for generalized geometrically convex functions. Several special cases are discussed, which can be deduced from our main results.
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spelling pubmed-55750342017-09-18 Generalized geometrically convex functions and inequalities Noor, Muhammad Aslam Noor, Khalida Inayat Safdar, Farhat J Inequal Appl Research In this paper, we introduce and study a new class of generalized functions, called generalized geometrically convex functions. We establish several basic inequalities related to generalized geometrically convex functions. We also derive several new inequalities of the Hermite-Hadamard type for generalized geometrically convex functions. Several special cases are discussed, which can be deduced from our main results. Springer International Publishing 2017-08-29 2017 /pmc/articles/PMC5575034/ /pubmed/28932100 http://dx.doi.org/10.1186/s13660-017-1477-x Text en © The Author(s) 2017 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
Noor, Muhammad Aslam
Noor, Khalida Inayat
Safdar, Farhat
Generalized geometrically convex functions and inequalities
title Generalized geometrically convex functions and inequalities
title_full Generalized geometrically convex functions and inequalities
title_fullStr Generalized geometrically convex functions and inequalities
title_full_unstemmed Generalized geometrically convex functions and inequalities
title_short Generalized geometrically convex functions and inequalities
title_sort generalized geometrically convex functions and inequalities
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5575034/
https://www.ncbi.nlm.nih.gov/pubmed/28932100
http://dx.doi.org/10.1186/s13660-017-1477-x
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AT noorkhalidainayat generalizedgeometricallyconvexfunctionsandinequalities
AT safdarfarhat generalizedgeometricallyconvexfunctionsandinequalities

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