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

İşcan, İmdat; Kunt, MEHMET; Yazıcı Gözütok, NAZLI; Köroğlu, TUNCAY

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

İşcan İ., Kunt M., Yazıcı Gözütok N., Köroğlu T.

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

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
Karadeniz Teknik Üniversitesi Adresli: Evet

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.