k-fractional integral trapezium-like inequalities through [Formula: see text] -convex and [Formula: see text] -convex mappings

In this paper, a new general identity for differentiable mappings via k-fractional integrals is derived. By using the concept of [Formula: see text] -convexity, [Formula: see text] -convexity and the obtained equation, some new trapezium-like integral inequalities are established. The results presen...

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Detalles Bibliográficos
Autores principales: Wang, Hao, Du, Tingsong, Zhang, Yao
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5736796/
https://www.ncbi.nlm.nih.gov/pubmed/29290666
http://dx.doi.org/10.1186/s13660-017-1586-6
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author Wang, Hao
Du, Tingsong
Zhang, Yao
author_facet Wang, Hao
Du, Tingsong
Zhang, Yao
author_sort Wang, Hao
collection PubMed
description In this paper, a new general identity for differentiable mappings via k-fractional integrals is derived. By using the concept of [Formula: see text] -convexity, [Formula: see text] -convexity and the obtained equation, some new trapezium-like integral inequalities are established. The results presented provide extensions of those given in earlier works.
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spelling pubmed-57367962017-12-29 k-fractional integral trapezium-like inequalities through [Formula: see text] -convex and [Formula: see text] -convex mappings Wang, Hao Du, Tingsong Zhang, Yao J Inequal Appl Research In this paper, a new general identity for differentiable mappings via k-fractional integrals is derived. By using the concept of [Formula: see text] -convexity, [Formula: see text] -convexity and the obtained equation, some new trapezium-like integral inequalities are established. The results presented provide extensions of those given in earlier works. Springer International Publishing 2017-12-19 2017 /pmc/articles/PMC5736796/ /pubmed/29290666 http://dx.doi.org/10.1186/s13660-017-1586-6 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
Wang, Hao
Du, Tingsong
Zhang, Yao
k-fractional integral trapezium-like inequalities through [Formula: see text] -convex and [Formula: see text] -convex mappings
title k-fractional integral trapezium-like inequalities through [Formula: see text] -convex and [Formula: see text] -convex mappings
title_full k-fractional integral trapezium-like inequalities through [Formula: see text] -convex and [Formula: see text] -convex mappings
title_fullStr k-fractional integral trapezium-like inequalities through [Formula: see text] -convex and [Formula: see text] -convex mappings
title_full_unstemmed k-fractional integral trapezium-like inequalities through [Formula: see text] -convex and [Formula: see text] -convex mappings
title_short k-fractional integral trapezium-like inequalities through [Formula: see text] -convex and [Formula: see text] -convex mappings
title_sort k-fractional integral trapezium-like inequalities through [formula: see text] -convex and [formula: see text] -convex mappings
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5736796/
https://www.ncbi.nlm.nih.gov/pubmed/29290666
http://dx.doi.org/10.1186/s13660-017-1586-6
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AT dutingsong kfractionalintegraltrapeziumlikeinequalitiesthroughformulaseetextconvexandformulaseetextconvexmappings
AT zhangyao kfractionalintegraltrapeziumlikeinequalitiesthroughformulaseetextconvexandformulaseetextconvexmappings

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