On generalization of midpoint type inequalities with generalized fractional integral operators

Budak, Hueseyin; Usta, Fuat; SARIKAYA, MEHMET; Ozdemir, MUHAMET

doi:10.1007/s13398-018-0514-z

On generalization of midpoint type inequalities with generalized fractional integral operators

Budak H., Usta F., SARIKAYA M. Z., Ozdemir M. E.

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, cilt.113, sa.2, ss.769-790, 2019 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 113 Sayı: 2
Basım Tarihi: 2019
Doi Numarası: 10.1007/s13398-018-0514-z
Dergi Adı: REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.769-790
Anahtar Kelimeler: Hermite-Hadamard inequality, Midpoint inequality, Fractional integral operators, Convex function
Bursa Uludağ Üniversitesi Adresli: Evet

Özet

The Hermite-Hadamard inequality is the first principal result for convex functions defined on a interval of real numbers with a natural geometrical interpretation and a loose number of applications for particular inequalities. In this paper we proposed the Hermite-Hadamard and midpoint type inequalities for functions whose first and second derivatives in absolute value are s-convex through the instrument of generalized fractional integral operator and a considerable amount of results for special means which can naturally be deduced.