On Some New Fejer Type Inequalities

YILDIZ Ç., ÖZDEMİR M. E., GÜRBÜZ M.

Caspian Journal of Applied Mathematics, Ecology and Economics, cilt.4, ss.40-50, 2016 (SCI-Expanded) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 4
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1186/s40064-016-2215-4
  • Dergi Adı: Caspian Journal of Applied Mathematics, Ecology and Economics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
  • Sayfa Sayıları: ss.40-50
  • Anahtar Kelimeler: Hermite-Hadamard inequality, Hermite-Hadamard-Fejer inequality, Riemann-Liouville fractional integrals, Harmonically convex functions
  • Atatürk Üniversitesi Adresli: Evet

Özet

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