The Hadamard's inequality for quasi-convex functions via fractional integrals

ÖZDEMİR M. E., YILDIZ Ç.

Annals of the University of Craiova, Mathematics and Computer Science Series, cilt.40, sa.2, ss.167-173, 2013 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 40 Sayı: 2
  • Basım Tarihi: 2013
  • Dergi Adı: Annals of the University of Craiova, Mathematics and Computer Science Series
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.167-173
  • Anahtar Kelimeler: Hadamard's inequality, Power-mean inequality, Quasi convex functions, Riemann-Liouville fractional integral
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In this paper, we give the Riemann-Liouville fractional integrals definitions. We use these Riemann-Liouville fractional integrals to establish some new integral inequalities for quasi-convex functions. Also, some applications for special means of real numbers are provided.