Cover Image

A study of some new Hermite–Hadamard inequalities via specific convex functions with applications

Convexity plays a crucial role in the development of fractional integral inequalities. Many fractional integral inequalities are derived based on convexity properties and techniques. These inequalities have several applications in different fields such as optimization, mathematical modeling and sign...

Full description

Saved in:
Bibliographic Details
Main Authors: Junjua, Moin-Ud-Din, Qayyum, Ather, Munir, Arslan, Budak, Hüseyin, Saleem, Muhammad Mohsen, Supadi, Siti Suzlin
Format: Article
Published: Multidisciplinary Digital Publishing Institute (MDPI) 2024
Subjects:
QA Mathematics
Online Access:http://eprints.um.edu.my/44798/
Tags: Add Tag
No Tags, Be the first to tag this record!
id my.um.eprints.44798
record_format eprints
spelling my.um.eprints.447982024-07-11T02:36:51Z http://eprints.um.edu.my/44798/ A study of some new Hermite–Hadamard inequalities via specific convex functions with applications Junjua, Moin-Ud-Din Qayyum, Ather Munir, Arslan Budak, Hüseyin Saleem, Muhammad Mohsen Supadi, Siti Suzlin QA Mathematics Convexity plays a crucial role in the development of fractional integral inequalities. Many fractional integral inequalities are derived based on convexity properties and techniques. These inequalities have several applications in different fields such as optimization, mathematical modeling and signal processing. The main goal of this article is to establish a novel and generalized identity for the Caputo–Fabrizio fractional operator. With the help of this specific developed identity, we derive new fractional integral inequalities via exponential convex functions. Furthermore, we give an application to some special means. © 2024 by the authors. Multidisciplinary Digital Publishing Institute (MDPI) 2024 Article PeerReviewed Junjua, Moin-Ud-Din and Qayyum, Ather and Munir, Arslan and Budak, Hüseyin and Saleem, Muhammad Mohsen and Supadi, Siti Suzlin (2024) A study of some new Hermite–Hadamard inequalities via specific convex functions with applications. Mathematics, 12 (3). ISSN 2227-7390, DOI https://doi.org/10.3390/math12030478 <https://doi.org/10.3390/math12030478>. 10.3390/math12030478
institution Universiti Malaya
building UM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaya
content_source UM Research Repository
url_provider http://eprints.um.edu.my/
topic QA Mathematics
spellingShingle QA Mathematics
Junjua, Moin-Ud-Din
Qayyum, Ather
Munir, Arslan
Budak, Hüseyin
Saleem, Muhammad Mohsen
Supadi, Siti Suzlin
A study of some new Hermite–Hadamard inequalities via specific convex functions with applications
description Convexity plays a crucial role in the development of fractional integral inequalities. Many fractional integral inequalities are derived based on convexity properties and techniques. These inequalities have several applications in different fields such as optimization, mathematical modeling and signal processing. The main goal of this article is to establish a novel and generalized identity for the Caputo–Fabrizio fractional operator. With the help of this specific developed identity, we derive new fractional integral inequalities via exponential convex functions. Furthermore, we give an application to some special means. © 2024 by the authors.
format Article
author Junjua, Moin-Ud-Din
Qayyum, Ather
Munir, Arslan
Budak, Hüseyin
Saleem, Muhammad Mohsen
Supadi, Siti Suzlin
author_facet Junjua, Moin-Ud-Din
Qayyum, Ather
Munir, Arslan
Budak, Hüseyin
Saleem, Muhammad Mohsen
Supadi, Siti Suzlin
author_sort Junjua, Moin-Ud-Din
title A study of some new Hermite–Hadamard inequalities via specific convex functions with applications
title_short A study of some new Hermite–Hadamard inequalities via specific convex functions with applications
title_full A study of some new Hermite–Hadamard inequalities via specific convex functions with applications
title_fullStr A study of some new Hermite–Hadamard inequalities via specific convex functions with applications
title_full_unstemmed A study of some new Hermite–Hadamard inequalities via specific convex functions with applications
title_sort study of some new hermite–hadamard inequalities via specific convex functions with applications
publisher Multidisciplinary Digital Publishing Institute (MDPI)
publishDate 2024
url http://eprints.um.edu.my/44798/
_version_ 1805881168751493120
score 13.211869

Similar Items