New extensions of Hermite-Hadamard inequality using k−fractional Caputo derivatives
Advanced Studies: Euro-Tbilisi Mathematical Journal, vol.16, no.2, pp.11-28, 2023 (ESCI, Scopus)
- Publication Type: Article / Article
- Volume: 16 Issue: 2
- Publication Date: 2023
- Doi Number: 10.32513/asetmj/193220082314
- Journal Name: Advanced Studies: Euro-Tbilisi Mathematical Journal
- Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
- Page Numbers: pp.11-28
- Keywords: Hermite-Hadamard inequality, Caputo fractional derivatives, (h, m)-convex modified functions, MERCER TYPE INEQUALITIES, INTEGRAL-INEQUALITIES, S)-CONVEX, PROOF, (H
- Bursa Uludag University Affiliated: Yes
Abstract
By means of Caputo k−fractional derivatives, in this work, we obtain new extensions of the Hermite-Hadamard inequality for modified (h, m)− convex functions of the second type. At work, we show that some known results from the literature can be obtained as particular cases of the results presented here.