GENERALIZATION OF DIFFERENT TYPE INTEGRAL INEQUALITIES VIA FRACTIONAL INTEGRALS FOR FUNCTIONS WHOSE SECOND DERIVATIVES ABSOLUTE VALUES ARE QUASI-CONVEX

Year 2013, Volume: 1 Issue: 2, 67 - 79, 01.12.2013

İmdat İşcan

Abstract

In this paper, the author establish some new estimates on HermiteHadamard type and Simpson type inequalities via Riemann Liouville fractionalintegral for functions whose second derivatives in absolute values at certainpower are quasi-convex

Keywords

Quasi-convex function, Hermite–Hadamard type inequalities, Simpsontype inequalities, Riemann–Liouville fractional integral

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• Giresun University, Science and Art Faculty, Department of Mathematics, Giresun- TURKEY E-mail address: [e-mail]