Hermite-Hadamard-Fejer Type Inequalities for p-Convex Functions via Fractional Integrals

KUNT M., İŞCAN İ.

IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, cilt.42, ss.2079-2089, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1007/s40995-017-0352-4
  • Dergi Adı: IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2079-2089
  • Anahtar Kelimeler: Hermite-Hadamard inequalities, Hermite-Hadamard-Fejer inequalities, Fractional integrals, Convex functions, Harmonically convex functions, p-Convex functions, DIFFERENTIABLE MAPPINGS
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

In this paper, firstly, Hermite-Hadamard-Fejer type inequalities for p-convex functions in fractional integral forms are built. Secondly, an integral identity and some Hermite-Hadamard-Fejer type integral inequalities for p-convex functions in fractional integral forms are obtained. Finally, some Hermite-Hadamard and Hermite-Hadamard-Fejer inequalities for convex, harmonically convex and p-convex functions are given. Many results presented here for p-convex functions provide extensions of others given in earlier works for convex, harmonically convex and p-convex functions.