New extensions of Hermite-Hadamard inequality using k−fractional Caputo derivatives
Advanced Studies: Euro-Tbilisi Mathematical Journal, cilt.16, sa.2, ss.11-28, 2023 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 16 Sayı: 2
- Basım Tarihi: 2023
- Doi Numarası: 10.32513/asetmj/193220082314
- Dergi Adı: Advanced Studies: Euro-Tbilisi Mathematical Journal
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
- Sayfa Sayıları: ss.11-28
- Anahtar Kelimeler: Hermite-Hadamard inequality, Caputo fractional derivatives, (h, m)-convex modified functions, MERCER TYPE INEQUALITIES, INTEGRAL-INEQUALITIES, S)-CONVEX, PROOF, (H
- Bursa Uludağ Üniversitesi Adresli: Evet
Özet
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.