NEW EXTENSIONS OF THE HERMITE-HADAMARD INEQUALITIES INVOLVING RIEMANN-LIOUVILLE FRACTIONAL INTEGRALS

Budak H., Kara H., Sarikaya M. Z., Kiris M. E.

MISKOLC MATHEMATICAL NOTES, cilt.21, sa.2, ss.665-678, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 21 Sayı: 2
  • Basım Tarihi: 2020
  • Doi Numarası: 10.18514/mmn.2020.3073
  • Dergi Adı: MISKOLC MATHEMATICAL NOTES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Sayfa Sayıları: ss.665-678
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

In this study, we establish the above and below bounds for the left and right hand sides of fractional Hermite-Hadamard inequalities by using functions whose second derivatives are bounded. We also give some refinements of fractional Hermite-Hadamard inequalities by using the functions that have the conditions f'(a + b - t) - f'(t) >= 0, t is an element of [a, a+b/2].