SOME HERMITE-HADAMARD TYPE INTEGRAL INEQUALITIES FOR TWICE DIFFERENTIABLE MAPPINGS VIA FRACTIONAL INTEGRALS

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Sarikaya M. Z., Budak H.

FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, no.4, pp.371-384, 2014 (ESCI)

• Publication Type: Article / Article
• Publication Date: 2014
• Journal Name: FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS
• Journal Indexes: Emerging Sources Citation Index (ESCI)
• Page Numbers: pp.371-384
• Kocaeli University Affiliated: No

Abstract

In this paper, a general integral identity for fractional integrals is derived. Using this identity, we establish some new generelized inequalities of the Hermite-Hadamard's type for functions whose absolute values of derivatives are convex.