THE HADAMARD INEQUALITY FOR CONVEX FUNCTION VIA FRACTIONAL INTEGRALS

ÖZDEMİR, MUHAMET; Dragomir, S.; YILDIZ, Cihat

doi:10.1016/s0252-9602(13)60081-8

THE HADAMARD INEQUALITY FOR CONVEX FUNCTION VIA FRACTIONAL INTEGRALS

ÖZDEMİR M. E., Dragomir S. S., YILDIZ C.

ACTA MATHEMATICA SCIENTIA, cilt.33, sa.5, ss.1293-1299, 2013 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 33 Sayı: 5
Basım Tarihi: 2013
Doi Numarası: 10.1016/s0252-9602(13)60081-8
Dergi Adı: ACTA MATHEMATICA SCIENTIA
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.1293-1299
Anahtar Kelimeler: Hadamard's inequality, convex functions, power-mean inequality, Riemann-Liouville fractional integration, DIFFERENTIABLE MAPPINGS
Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In this paper, we establish several inequalities for some differantiable mappings that are connected with the Riemann-Liouville fractional integrals. The analysis used in the proofs is fairly elementary.