On Integral Inequalities Involving Generalized Lipschitzian Functions

On Integral Inequalities Involving Generalized Lipschitzian Functions

A new class of mappings that includes the class of Lipschitzian mappings is introduced. For this kind of mappings, new integral inequalities of Hadamard’s type are obtained. Our results are extensions of many previous contributions related to integral inequalities for Lipschitzian mappings.

Bibliographic Details
Main Authors: Mohaemd Jleli, Bessem Samet
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2020/8834149
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spelling doaj-825fe492afbe4d1fadcaff4dc29caf262020-11-25T04:02:44ZengHindawi LimitedJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/88341498834149On Integral Inequalities Involving Generalized Lipschitzian FunctionsMohaemd Jleli0Bessem Samet1Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaDepartment of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaA new class of mappings that includes the class of Lipschitzian mappings is introduced. For this kind of mappings, new integral inequalities of Hadamard’s type are obtained. Our results are extensions of many previous contributions related to integral inequalities for Lipschitzian mappings.http://dx.doi.org/10.1155/2020/8834149
collection DOAJ
language English
format Article
sources DOAJ
author Mohaemd Jleli
Bessem Samet
spellingShingle Mohaemd Jleli
Bessem Samet
On Integral Inequalities Involving Generalized Lipschitzian Functions
Journal of Function Spaces
author_facet Mohaemd Jleli
Bessem Samet
author_sort Mohaemd Jleli
title On Integral Inequalities Involving Generalized Lipschitzian Functions
title_short On Integral Inequalities Involving Generalized Lipschitzian Functions
title_full On Integral Inequalities Involving Generalized Lipschitzian Functions
title_fullStr On Integral Inequalities Involving Generalized Lipschitzian Functions
title_full_unstemmed On Integral Inequalities Involving Generalized Lipschitzian Functions
title_sort on integral inequalities involving generalized lipschitzian functions
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8896
2314-8888
publishDate 2020-01-01
description A new class of mappings that includes the class of Lipschitzian mappings is introduced. For this kind of mappings, new integral inequalities of Hadamard’s type are obtained. Our results are extensions of many previous contributions related to integral inequalities for Lipschitzian mappings.
url http://dx.doi.org/10.1155/2020/8834149
work_keys_str_mv AT mohaemdjleli onintegralinequalitiesinvolvinggeneralizedlipschitzianfunctions
AT bessemsamet onintegralinequalitiesinvolvinggeneralizedlipschitzianfunctions
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