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) identifier identifier

  • 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.