NEW GENERAL INTEGRAL INEQUALITIES FOR LIPSCHITZIAN FUNCTIONS VIA RIEMANN-LIOUVILLE FRACTIONAL INTEGRALS AND APPLICATIONS

Iscan I., KUNT M., Gozutok N., KÖROĞLU T.

JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS, cilt.7, sa.4, ss.1-12, 2016 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 7 Sayı: 4
  • Basım Tarihi: 2016
  • Dergi Adı: JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.1-12
  • Anahtar Kelimeler: Hermite-Hadamard inequality, Ostorowski inequality, Simpson inequality, Riemann-Liouville fractional integral., HADAMARD-TYPE INEQUALITIES, CONVEX FUNCTIONS
  • Marmara Üniversitesi Adresli: Hayır

Özet

In this paper, we obtain some new estimates on generalization of Hermite-Hadamard, Ostorowski and Simpson type inequalities for Lipschitzian functions via Riemann-Liouville fractional integrals. Also, we give some applications to special means of two positive real numbers.