Some generalization of integral inequalities for twice differentiable mappings involving fractional integrals

Some generalization of integral inequalities for twice differentiable mappings involving fractional integrals

In this paper, a general integral identity involving Riemann- Liouville fractional integrals is derived. By use this identity, we establish new some generalized inequalities of the Hermite-Hadamard’s type for functions whose absolute values of derivatives are convex.

Bibliographic Details
Main Authors: Sarikaya Mehmet Zeki, Budak Huseyin
Format: Article
Language:English
Published: Sciendo 2015-12-01
Series:Acta Universitatis Sapientiae: Mathematica
Subjects:
hermite-hadamard’s inequalities
riemann-liouville fractional integral
convex functions
integral inequalities
Online Access:https://doi.org/10.1515/ausm-2015-0017
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spelling doaj-b6a1dae2414e43099db05b78cf7f60db2021-09-06T19:40:20ZengSciendoActa Universitatis Sapientiae: Mathematica2066-77522015-12-017225126410.1515/ausm-2015-0017ausm-2015-0017Some generalization of integral inequalities for twice differentiable mappings involving fractional integralsSarikaya Mehmet Zeki0Budak Huseyin1Department of Mathematics, Faculty of Science and Arts, Duzce University, TurkeyDepartment of Mathematics, Faculty of Science and Arts, Duzce University, TurkeyIn this paper, a general integral identity involving Riemann- Liouville fractional integrals is derived. By use this identity, we establish new some generalized inequalities of the Hermite-Hadamard’s type for functions whose absolute values of derivatives are convex.https://doi.org/10.1515/ausm-2015-0017hermite-hadamard’s inequalitiesriemann-liouville fractional integralconvex functionsintegral inequalities
collection DOAJ
language English
format Article
sources DOAJ
author Sarikaya Mehmet Zeki
Budak Huseyin
spellingShingle Sarikaya Mehmet Zeki
Budak Huseyin
Some generalization of integral inequalities for twice differentiable mappings involving fractional integrals
Acta Universitatis Sapientiae: Mathematica
hermite-hadamard’s inequalities
riemann-liouville fractional integral
convex functions
integral inequalities
author_facet Sarikaya Mehmet Zeki
Budak Huseyin
author_sort Sarikaya Mehmet Zeki
title Some generalization of integral inequalities for twice differentiable mappings involving fractional integrals
title_short Some generalization of integral inequalities for twice differentiable mappings involving fractional integrals
title_full Some generalization of integral inequalities for twice differentiable mappings involving fractional integrals
title_fullStr Some generalization of integral inequalities for twice differentiable mappings involving fractional integrals
title_full_unstemmed Some generalization of integral inequalities for twice differentiable mappings involving fractional integrals
title_sort some generalization of integral inequalities for twice differentiable mappings involving fractional integrals
publisher Sciendo
series Acta Universitatis Sapientiae: Mathematica
issn 2066-7752
publishDate 2015-12-01
description In this paper, a general integral identity involving Riemann- Liouville fractional integrals is derived. By use this identity, we establish new some generalized inequalities of the Hermite-Hadamard’s type for functions whose absolute values of derivatives are convex.
topic hermite-hadamard’s inequalities
riemann-liouville fractional integral
convex functions
integral inequalities
url https://doi.org/10.1515/ausm-2015-0017
work_keys_str_mv AT sarikayamehmetzeki somegeneralizationofintegralinequalitiesfortwicedifferentiablemappingsinvolvingfractionalintegrals
AT budakhuseyin somegeneralizationofintegralinequalitiesfortwicedifferentiablemappingsinvolvingfractionalintegrals
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