SOME NEW INTEGRAL INEQUALITIES VIA RIEMANN-LIOUVILLE INTEGRAL OPERATORS


Ekinci A., Ozdemir M. E.

APPLIED AND COMPUTATIONAL MATHEMATICS, cilt.18, sa.3, ss.288-295, 2019 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 18 Sayı: 3
  • Basım Tarihi: 2019
  • Dergi Adı: APPLIED AND COMPUTATIONAL MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.288-295
  • Anahtar Kelimeler: Riemann-Liouville Fractional Integrals, Convexity, Hermite-Hadamard Inequality, Holder's Inequality
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

This paper aims to obtain new inequalities for the class of functions whose absolute values of first derivatives are convex on [a, b]. First we establish obtain a new integral identity by separating [a, b] to s equal subintervals. Then we some Hermite-Hadamard type inequalities involving intermediate values of vertical bar f'vertical bar by using Riemann-Liouville fractional operator. Also, we have given some results for special values of s and alpha.