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Some new Caputo fractional derivative inequalities for exponentially (θ,h−m)–convex functions
- Source :
- AIMS Mathematics, Vol 7, Iss 2, Pp 3006-3026 (2022)
- Publication Year :
- 2022
- Publisher :
- AIMS Press, 2022.
-
Abstract
- Firstly, we obtain some inequalities of Hadamard type for exponentially (θ,h−m)–convex functions via Caputo k–fractional derivatives. Secondly, using integral identity including the (n+1)–order derivative of a given function via Caputo k-fractional derivatives we prove some of its related results. Some new results are given and known results are recaptured as special cases from our results.
Details
- Language :
- English
- ISSN :
- 24736988
- Volume :
- 7
- Issue :
- 2
- Database :
- Directory of Open Access Journals
- Journal :
- AIMS Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.28f21bc141514ce1abab610c8e774d28
- Document Type :
- article
- Full Text :
- https://doi.org/10.3934/math.2022166?viewType=HTML