New fractional inequalities of midpoint type via s-convexity and their application

New fractional inequalities of midpoint type via s-convexity and their application

Abstract In this study, we introduced new integral inequalities of Hermite–Hadamard type via s-convexity and studied their properties. The absolute form of the first and second derivatives for the new inequalities is considered to be s-convex. As an application, the inequalities were applied to the...

Full description

Bibliographic Details
Main Authors: Ohud Almutairi, Adem Kılıçman
Format: Article
Language:English
Published: SpringerOpen 2019-10-01
Series:Journal of Inequalities and Applications
Subjects:
Convex functions
Hermite–Hadamard inequality
Hölder’s inequality
Special means
Midpoint formula
Online Access:http://link.springer.com/article/10.1186/s13660-019-2215-3
id doaj-1949496f730144cf9edeab189180fbd8
record_format Article
spelling doaj-1949496f730144cf9edeab189180fbd82020-11-25T03:53:05ZengSpringerOpenJournal of Inequalities and Applications1029-242X2019-10-012019111910.1186/s13660-019-2215-3New fractional inequalities of midpoint type via s-convexity and their applicationOhud Almutairi0Adem Kılıçman1Department of Mathematics, University of Hafr Al-BatinDepartment of Mathematics and Institute for Mathematical Research, Universiti Putra MalaysiaAbstract In this study, we introduced new integral inequalities of Hermite–Hadamard type via s-convexity and studied their properties. The absolute form of the first and second derivatives for the new inequalities is considered to be s-convex. As an application, the inequalities were applied to the special means of real numbers. We give the error estimates for the midpoint formula.http://link.springer.com/article/10.1186/s13660-019-2215-3Convex functionsHermite–Hadamard inequalityHölder’s inequalitySpecial meansMidpoint formula
collection DOAJ
language English
format Article
sources DOAJ
author Ohud Almutairi
Adem Kılıçman
spellingShingle Ohud Almutairi
Adem Kılıçman
New fractional inequalities of midpoint type via s-convexity and their application
Journal of Inequalities and Applications
Convex functions
Hermite–Hadamard inequality
Hölder’s inequality
Special means
Midpoint formula
author_facet Ohud Almutairi
Adem Kılıçman
author_sort Ohud Almutairi
title New fractional inequalities of midpoint type via s-convexity and their application
title_short New fractional inequalities of midpoint type via s-convexity and their application
title_full New fractional inequalities of midpoint type via s-convexity and their application
title_fullStr New fractional inequalities of midpoint type via s-convexity and their application
title_full_unstemmed New fractional inequalities of midpoint type via s-convexity and their application
title_sort new fractional inequalities of midpoint type via s-convexity and their application
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1029-242X
publishDate 2019-10-01
description Abstract In this study, we introduced new integral inequalities of Hermite–Hadamard type via s-convexity and studied their properties. The absolute form of the first and second derivatives for the new inequalities is considered to be s-convex. As an application, the inequalities were applied to the special means of real numbers. We give the error estimates for the midpoint formula.
topic Convex functions
Hermite–Hadamard inequality
Hölder’s inequality
Special means
Midpoint formula
url http://link.springer.com/article/10.1186/s13660-019-2215-3
work_keys_str_mv AT ohudalmutairi newfractionalinequalitiesofmidpointtypeviasconvexityandtheirapplication
AT ademkılıcman newfractionalinequalitiesofmidpointtypeviasconvexityandtheirapplication
_version_ 1724480041944875008

Similar Items