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Some Inequalities for Ï� -Convex Functions

The main purpose of this article is to establish Karamata and Ostrowski type inequalities for Ï� -convex functions. An alternative definition of Ï� -convexity is also proposed in this paper. With the alternative definition, simpler proofs of Hermite-Hadamard and Karamata type inequalities are establ...

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Main Authors:	Faye, I., Nguyen, V.T.
Format:	Conference or Workshop Item
Published:	Springer Science and Business Media B.V. 2021
Online Access:	https://www.scopus.com/inward/record.uri?eid=2-s2.0-85123316433&doi=10.1007%2f978-981-16-4513-6_50&partnerID=40&md5=e2e9f1ce37345498496b8d399f075c5d http://eprints.utp.edu.my/29257/
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id	my.utp.eprints.29257
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spelling	my.utp.eprints.292572022-03-25T01:15:42Z Some Inequalities for Ï� -Convex Functions Faye, I. Nguyen, V.T. The main purpose of this article is to establish Karamata and Ostrowski type inequalities for Ï� -convex functions. An alternative definition of Ï� -convexity is also proposed in this paper. With the alternative definition, simpler proofs of Hermite-Hadamard and Karamata type inequalities are established. Â© 2021, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. Springer Science and Business Media B.V. 2021 Conference or Workshop Item NonPeerReviewed https://www.scopus.com/inward/record.uri?eid=2-s2.0-85123316433&doi=10.1007%2f978-981-16-4513-6_50&partnerID=40&md5=e2e9f1ce37345498496b8d399f075c5d Faye, I. and Nguyen, V.T. (2021) Some Inequalities for Ï� -Convex Functions. In: UNSPECIFIED. http://eprints.utp.edu.my/29257/
institution	Universiti Teknologi Petronas
building	UTP Resource Centre
collection	Institutional Repository
continent	Asia
country	Malaysia
content_provider	Universiti Teknologi Petronas
content_source	UTP Institutional Repository
url_provider	http://eprints.utp.edu.my/
description	The main purpose of this article is to establish Karamata and Ostrowski type inequalities for Ï� -convex functions. An alternative definition of Ï� -convexity is also proposed in this paper. With the alternative definition, simpler proofs of Hermite-Hadamard and Karamata type inequalities are established. Â© 2021, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
format	Conference or Workshop Item
author	Faye, I. Nguyen, V.T.
spellingShingle	Faye, I. Nguyen, V.T. Some Inequalities for Ï� -Convex Functions
author_facet	Faye, I. Nguyen, V.T.
author_sort	Faye, I.
title	Some Inequalities for Ï� -Convex Functions
title_short	Some Inequalities for Ï� -Convex Functions
title_full	Some Inequalities for Ï� -Convex Functions
title_fullStr	Some Inequalities for Ï� -Convex Functions
title_full_unstemmed	Some Inequalities for Ï� -Convex Functions
title_sort	some inequalities for ï� -convex functions
publisher	Springer Science and Business Media B.V.
publishDate	2021
url	https://www.scopus.com/inward/record.uri?eid=2-s2.0-85123316433&doi=10.1007%2f978-981-16-4513-6_50&partnerID=40&md5=e2e9f1ce37345498496b8d399f075c5d http://eprints.utp.edu.my/29257/
_version_	1738656940176703488
score	13.18916

Some Inequalities for Ï� -Convex Functions

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