Fractional Hadamard and Fejér-Hadamard Inequalities Associated with Exponentially s,m-Convex Functions

Fractional Hadamard and Fejér-Hadamard Inequalities Associated with Exponentially s,m-Convex Functions

The aim of this paper is to present the fractional Hadamard and Fejér-Hadamard inequalities for exponentially s,m-convex functions. To establish these inequalities, we will utilize generalized fractional integral operators containing the Mittag-Leffler function in their kernels via a monotone functi...

Full description

Bibliographic Details
Main Authors: Shuya Guo, Yu-Ming Chu, Ghulam Farid, Sajid Mehmood, Waqas Nazeer
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2020/2410385
id doaj-46409117caae4c7f9c5b9125cfc5c9bf
record_format Article
spelling doaj-46409117caae4c7f9c5b9125cfc5c9bf2020-11-25T03:23:35ZengHindawi LimitedJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/24103852410385Fractional Hadamard and Fejér-Hadamard Inequalities Associated with Exponentially s,m-Convex FunctionsShuya Guo0Yu-Ming Chu1Ghulam Farid2Sajid Mehmood3Waqas Nazeer4School of Mathematics and Big Data, Chongqing University of Arts and Sciences, Chongqing 402160, ChinaDepartment of Mathematics, Huzhou University, Huzhou 313000, ChinaDepartment of Mathematics, COMSATS University Islamabad, Attock Campus, PakistanGovernment Boys Primary School Sherani, Hazro, Attock, PakistanDepartment of Mathematics, GC University Lahore, PakistanThe aim of this paper is to present the fractional Hadamard and Fejér-Hadamard inequalities for exponentially s,m-convex functions. To establish these inequalities, we will utilize generalized fractional integral operators containing the Mittag-Leffler function in their kernels via a monotone function. The presented results in particular contain a number of fractional Hadamard and Fejér-Hadamard inequalities for s-convex, m-convex, s,m-convex, exponentially convex, exponentially s-convex, and convex functions.http://dx.doi.org/10.1155/2020/2410385
collection DOAJ
language English
format Article
sources DOAJ
author Shuya Guo
Yu-Ming Chu
Ghulam Farid
Sajid Mehmood
Waqas Nazeer
spellingShingle Shuya Guo
Yu-Ming Chu
Ghulam Farid
Sajid Mehmood
Waqas Nazeer
Fractional Hadamard and Fejér-Hadamard Inequalities Associated with Exponentially s,m-Convex Functions
Journal of Function Spaces
author_facet Shuya Guo
Yu-Ming Chu
Ghulam Farid
Sajid Mehmood
Waqas Nazeer
author_sort Shuya Guo
title Fractional Hadamard and Fejér-Hadamard Inequalities Associated with Exponentially s,m-Convex Functions
title_short Fractional Hadamard and Fejér-Hadamard Inequalities Associated with Exponentially s,m-Convex Functions
title_full Fractional Hadamard and Fejér-Hadamard Inequalities Associated with Exponentially s,m-Convex Functions
title_fullStr Fractional Hadamard and Fejér-Hadamard Inequalities Associated with Exponentially s,m-Convex Functions
title_full_unstemmed Fractional Hadamard and Fejér-Hadamard Inequalities Associated with Exponentially s,m-Convex Functions
title_sort fractional hadamard and fejér-hadamard inequalities associated with exponentially s,m-convex functions
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8896
2314-8888
publishDate 2020-01-01
description The aim of this paper is to present the fractional Hadamard and Fejér-Hadamard inequalities for exponentially s,m-convex functions. To establish these inequalities, we will utilize generalized fractional integral operators containing the Mittag-Leffler function in their kernels via a monotone function. The presented results in particular contain a number of fractional Hadamard and Fejér-Hadamard inequalities for s-convex, m-convex, s,m-convex, exponentially convex, exponentially s-convex, and convex functions.
url http://dx.doi.org/10.1155/2020/2410385
work_keys_str_mv AT shuyaguo fractionalhadamardandfejerhadamardinequalitiesassociatedwithexponentiallysmconvexfunctions
AT yumingchu fractionalhadamardandfejerhadamardinequalitiesassociatedwithexponentiallysmconvexfunctions
AT ghulamfarid fractionalhadamardandfejerhadamardinequalitiesassociatedwithexponentiallysmconvexfunctions
AT sajidmehmood fractionalhadamardandfejerhadamardinequalitiesassociatedwithexponentiallysmconvexfunctions
AT waqasnazeer fractionalhadamardandfejerhadamardinequalitiesassociatedwithexponentiallysmconvexfunctions
_version_ 1715229077418278912

Similar Items