Hadamard and Fejér–Hadamard Inequalities for α,h−m−p-Convex Functions via Riemann–Liouville Fractional Integrals

Hadamard and Fejér–Hadamard Inequalities for α,h−m−p-Convex Functions via Riemann–Liouville Fractional Integrals

In this paper, we introduce α,h−m−p-convex function and some related functions. By applying this generalized definition, new versions of Hadamard and Fejér–Hadamard fractional integral inequalities for Riemann–Liouville fractional integrals are given. The presented results hold at the same time for...

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Main Authors: Wenyan Jia, Muhammad Yussouf, Ghulam Farid, Khuram Ali Khan
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2021/9945114
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spelling doaj-7765474157514cb9851c7d7e7cac6b752021-08-30T00:00:28ZengHindawi LimitedMathematical Problems in Engineering1563-51472021-01-01202110.1155/2021/9945114Hadamard and Fejér–Hadamard Inequalities for α,h−m−p-Convex Functions via Riemann–Liouville Fractional IntegralsWenyan Jia0Muhammad Yussouf1Ghulam Farid2Khuram Ali Khan3School of EducationDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsIn this paper, we introduce α,h−m−p-convex function and some related functions. By applying this generalized definition, new versions of Hadamard and Fejér–Hadamard fractional integral inequalities for Riemann–Liouville fractional integrals are given. The presented results hold at the same time for different types of convexities.http://dx.doi.org/10.1155/2021/9945114
collection DOAJ
language English
format Article
sources DOAJ
author Wenyan Jia
Muhammad Yussouf
Ghulam Farid
Khuram Ali Khan
spellingShingle Wenyan Jia
Muhammad Yussouf
Ghulam Farid
Khuram Ali Khan
Hadamard and Fejér–Hadamard Inequalities for α,h−m−p-Convex Functions via Riemann–Liouville Fractional Integrals
Mathematical Problems in Engineering
author_facet Wenyan Jia
Muhammad Yussouf
Ghulam Farid
Khuram Ali Khan
author_sort Wenyan Jia
title Hadamard and Fejér–Hadamard Inequalities for α,h−m−p-Convex Functions via Riemann–Liouville Fractional Integrals
title_short Hadamard and Fejér–Hadamard Inequalities for α,h−m−p-Convex Functions via Riemann–Liouville Fractional Integrals
title_full Hadamard and Fejér–Hadamard Inequalities for α,h−m−p-Convex Functions via Riemann–Liouville Fractional Integrals
title_fullStr Hadamard and Fejér–Hadamard Inequalities for α,h−m−p-Convex Functions via Riemann–Liouville Fractional Integrals
title_full_unstemmed Hadamard and Fejér–Hadamard Inequalities for α,h−m−p-Convex Functions via Riemann–Liouville Fractional Integrals
title_sort hadamard and fejér–hadamard inequalities for α,h−m−p-convex functions via riemann–liouville fractional integrals
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1563-5147
publishDate 2021-01-01
description In this paper, we introduce α,h−m−p-convex function and some related functions. By applying this generalized definition, new versions of Hadamard and Fejér–Hadamard fractional integral inequalities for Riemann–Liouville fractional integrals are given. The presented results hold at the same time for different types of convexities.
url http://dx.doi.org/10.1155/2021/9945114
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AT ghulamfarid hadamardandfejerhadamardinequalitiesforahmpconvexfunctionsviariemannliouvillefractionalintegrals
AT khuramalikhan hadamardandfejerhadamardinequalitiesforahmpconvexfunctionsviariemannliouvillefractionalintegrals
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