On new inequalities of Hermite–Hadamard–Fejer type for harmonically convex functions via fractional integrals

In this paper, firstly, new Hermite–Hadamard type inequalities for harmonically convex functions in fractional integral forms are given. Secondly, Hermite–Hadamard–Fejer inequalities for harmonically convex functions in fractional integral forms are built. Finally, an integral identity and some Herm...

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Autores principales: Kunt, Mehmet, İşcan, İmdat, Yazıcı, Nazlı, Gözütok, Uğur
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2016
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4870551/
https://www.ncbi.nlm.nih.gov/pubmed/27330901
http://dx.doi.org/10.1186/s40064-016-2215-4
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author Kunt, Mehmet
İşcan, İmdat
Yazıcı, Nazlı
Gözütok, Uğur
author_facet Kunt, Mehmet
İşcan, İmdat
Yazıcı, Nazlı
Gözütok, Uğur
author_sort Kunt, Mehmet
collection PubMed
description In this paper, firstly, new Hermite–Hadamard type inequalities for harmonically convex functions in fractional integral forms are given. Secondly, Hermite–Hadamard–Fejer inequalities for harmonically convex functions in fractional integral forms are built. Finally, an integral identity and some Hermite–Hadamard–Fejer type integral inequalities for harmonically convex functions in fractional integral forms are obtained. Some results presented here provide extensions of others given in earlier works.
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spelling pubmed-48705512016-06-21 On new inequalities of Hermite–Hadamard–Fejer type for harmonically convex functions via fractional integrals Kunt, Mehmet İşcan, İmdat Yazıcı, Nazlı Gözütok, Uğur Springerplus Research In this paper, firstly, new Hermite–Hadamard type inequalities for harmonically convex functions in fractional integral forms are given. Secondly, Hermite–Hadamard–Fejer inequalities for harmonically convex functions in fractional integral forms are built. Finally, an integral identity and some Hermite–Hadamard–Fejer type integral inequalities for harmonically convex functions in fractional integral forms are obtained. Some results presented here provide extensions of others given in earlier works. Springer International Publishing 2016-05-17 /pmc/articles/PMC4870551/ /pubmed/27330901 http://dx.doi.org/10.1186/s40064-016-2215-4 Text en © The Author(s). 2016 Open AccessThis 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
Kunt, Mehmet
İşcan, İmdat
Yazıcı, Nazlı
Gözütok, Uğur
On new inequalities of Hermite–Hadamard–Fejer type for harmonically convex functions via fractional integrals
title On new inequalities of Hermite–Hadamard–Fejer type for harmonically convex functions via fractional integrals
title_full On new inequalities of Hermite–Hadamard–Fejer type for harmonically convex functions via fractional integrals
title_fullStr On new inequalities of Hermite–Hadamard–Fejer type for harmonically convex functions via fractional integrals
title_full_unstemmed On new inequalities of Hermite–Hadamard–Fejer type for harmonically convex functions via fractional integrals
title_short On new inequalities of Hermite–Hadamard–Fejer type for harmonically convex functions via fractional integrals
title_sort on new inequalities of hermite–hadamard–fejer type for harmonically convex functions via fractional integrals
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4870551/
https://www.ncbi.nlm.nih.gov/pubmed/27330901
http://dx.doi.org/10.1186/s40064-016-2215-4
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