New extensions of Hermite-Hadamard inequality using k−fractional Caputo derivatives

Nápoles J. E., BAYRAKTAR B.

Advanced Studies: Euro-Tbilisi Mathematical Journal, cilt.16, sa.2, ss.11-28, 2023 (ESCI) identifier identifier

  • 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.