An Ostrowski type inequality for derivatives of q-th power of s-convex functions via fractional integrals

Ozdemir M. E., YILDIZ Ç.

GEORGIAN MATHEMATICAL JOURNAL, cilt.21, sa.4, ss.491-498, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 21 Sayı: 4
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1515/gmj-2014-0038
  • Dergi Adı: GEORGIAN MATHEMATICAL JOURNAL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.491-498
  • Anahtar Kelimeler: s-convex functions, Ostrowski inequality, Riemann-Liouville fractional integral, Holder inequality, power-mean inequality
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In this paper, we establish several new inequalities for s-convex mappings that are connected with the Riemann-Liouville fractional integrals. Our results have some relationships with an Ostrowski type integral inequality in the literature.