Some Inequalities for � -Convex Functions
The main purpose of this article is to establish Karamata and Ostrowski type inequalities for � -convex functions. An alternative definition of � -convexity is also proposed in this paper. With the alternative definition, simpler proofs of Hermite-Hadamard and Karamata type inequalities are establ...
| Main Authors: | Faye, I., Nguyen, V.T. |
|---|---|
| Format: | Conference or Workshop Item |
| Institution: | Universiti Teknologi Petronas |
| Record Id / ISBN-0: | utp-eprints.29257 / |
| Published: |
Springer Science and Business Media B.V.
2021
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| Online Access: |
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utp-eprints.292572022-03-25T01:15:42Z Some Inequalities for � -Convex Functions Faye, I. Nguyen, V.T. The main purpose of this article is to establish Karamata and Ostrowski type inequalities for � -convex functions. An alternative definition of � -convexity is also proposed in this paper. With the alternative definition, simpler proofs of Hermite-Hadamard and Karamata type inequalities are established. © 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 � -Convex Functions. In: UNSPECIFIED. http://eprints.utp.edu.my/29257/ |
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Universiti Teknologi Petronas |
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UTP Institutional Repository |
| description |
The main purpose of this article is to establish Karamata and Ostrowski type inequalities for � -convex functions. An alternative definition of � -convexity is also proposed in this paper. With the alternative definition, simpler proofs of Hermite-Hadamard and Karamata type inequalities are established. © 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 � -Convex Functions |
| author_sort |
Faye, I. |
| title |
Some Inequalities for � -Convex Functions |
| title_short |
Some Inequalities for � -Convex Functions |
| title_full |
Some Inequalities for � -Convex Functions |
| title_fullStr |
Some Inequalities for � -Convex Functions |
| title_full_unstemmed |
Some Inequalities for � -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_ |
1741197213060562944 |
| score |
11.62408 |