NEW CONFORMABLE FRACTIONAL HERMITE HADAMARD TYPE INEQUALITIES FOR HARMONICALLY CONVEX FUNCTIONS

Sanli Z., KÖROĞLU T.

JOURNAL OF MATHEMATICAL ANALYSIS, cilt.9, sa.6, ss.77-91, 2018 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 9 Sayı: 6
  • Basım Tarihi: 2018
  • Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.77-91
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

In this paper, we prove three new conformable fractional Hermite-Hadamard type inequalities for harmonically convex functions by using the left and the right fractional integrals independently. Also, we give two new conformable fractional identities for differentiable functions. By using these identities, we obtained some new trapezoidal type inequalities for harmonically convex functions. Our results generalizes the results given by Iscan in [5] and Sanli et al. in [18].