HERMITE-HADAMARD TYPE INEQUALITIES FOR PRODUCT OF HARMONICALLY CONVEX FUNCTIONS VIA RIEMANN-LIOUVILLE FRACTIONAL INTEGRALS

Kunt M., İşcan İ., Yazıcı Gözütok N.

JOURNAL OF MATHEMATICAL ANALYSIS, cilt.7, sa.4, ss.74-82, 2016 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 7 Sayı: 4
  • Basım Tarihi: 2016
  • Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.74-82
  • Anahtar Kelimeler: Hermite-Hadamard inequality, Harmonically convex functions, Riemann-Liouville fractional integral
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

In this paper, some Hermite-Hadamard type inequalities for products of two harmonically convex functions via Riemann-Liouville fractional integrals are established. Our results about harmonically convex functions are analogous generalizations for some other results proved by Pachpette, Chan and Noor for convex and harmonically h-convex functions.