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

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 m...

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Main Authors: Almutairi, Ohud, Kilicman, Adem
Format: Article
Language:English
Published: BioMed Central 2019
Online Access:http://psasir.upm.edu.my/id/eprint/81468/1/New%20fractional%20inequalities%20of%20midpoint%20type%20via%20s-convexity%20and%20their%20application.pdf
http://psasir.upm.edu.my/id/eprint/81468/
https://link.springer.com/article/10.1186/s13660-019-2215-3
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spelling my.upm.eprints.814682021-01-30T18:37:11Z http://psasir.upm.edu.my/id/eprint/81468/ New fractional inequalities of midpoint type via s-convexity and their application Almutairi, Ohud Kilicman, Adem 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. BioMed Central 2019 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/81468/1/New%20fractional%20inequalities%20of%20midpoint%20type%20via%20s-convexity%20and%20their%20application.pdf Almutairi, Ohud and Kilicman, Adem (2019) New fractional inequalities of midpoint type via s-convexity and their application. Advances in Difference Equations, 2019. art. no. 267. pp. 1-19. ISSN 1687-1839; ESSN: 1687-1847 https://link.springer.com/article/10.1186/s13660-019-2215-3 10.1186/s13660-019-2215-3
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description 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.
format Article
author Almutairi, Ohud
Kilicman, Adem
spellingShingle Almutairi, Ohud
Kilicman, Adem
New fractional inequalities of midpoint type via s-convexity and their application
author_facet Almutairi, Ohud
Kilicman, Adem
author_sort Almutairi, Ohud
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 BioMed Central
publishDate 2019
url http://psasir.upm.edu.my/id/eprint/81468/1/New%20fractional%20inequalities%20of%20midpoint%20type%20via%20s-convexity%20and%20their%20application.pdf
http://psasir.upm.edu.my/id/eprint/81468/
https://link.springer.com/article/10.1186/s13660-019-2215-3
_version_ 1690372578289385472
score 13.211869

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