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

Turhan, Sercan; Iscan, Imdati; Kunt, MEHMET

doi:10.2298/fil1816611t

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, Scopus)

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.