SOME NEW FRACTIONAL INTEGRAL INEQUALITIES FOR s-CONVEX FUNCTIONS

Karapınar D., Turhan S., Kunt M., İşcan İ.

JOURNAL OF NONLINEAR SCIENCE AND APPLICATIONS, cilt.10, sa.9, ss.4552-4563, 2017 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10 Sayı: 9
  • Basım Tarihi: 2017
  • Doi Numarası: 10.22436/jnsa.010.09.01
  • Dergi Adı: JOURNAL OF NONLINEAR SCIENCE AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), zbMATH
  • Sayfa Sayıları: ss.4552-4563
  • Anahtar Kelimeler: Simpson's type, s-convex functions, fractional integrals, BOUNDARY-VALUE PROBLEM, POSITIVE SOLUTIONS, EXISTENCE, EQUATION
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

In this paper, we establish some new inequalities of Simpson's type based on s-convexity via fractional integrals. Our results generalize the results obtained by Sarikaya et al. [1].