Hermite-Hadamard Type Inequalities for n-Times Differentiable Convex Functions via Riemann-Liouville Fractional Integrals

Turhan S., Iscan I., Kunt M.

FILOMAT, cilt.32, sa.16, ss.5611-5622, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 32 Sayı: 16
  • Basım Tarihi: 2018
  • Doi Numarası: 10.2298/fil1816611t
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.5611-5622
  • Anahtar Kelimeler: Convex functions, Hermite-Hadamard type inequalities, Riemann-Liouville fractional integrals, n-time differentiable function, MAPPINGS
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

In this paper, we establish an identity for n-times differentiable functions via Riemann-Liouville fractional integrals. By using this new identity, we have some new results about trapezoid type inequalities for n-times differentiable convex functions via Riemann-Liouville fractional integrals. The results, given here extended the results given the previous works.