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1. HADAMARD AND FEJÉR-HADAMARD INEQUALITIES AND RELATED RESULTS VIA CAPUTO FRACTIONAL DERIVATIVES.

Author

FARID, GHULAM, JAVED, ANUM, and NAQVI, SAIRA

Subjects
MATHEMATICAL inequalities, CAPUTO fractional derivatives, CONVEX functions, DIFFERENTIABLE functions, HADAMARD matrices
Abstract

In this paper we prove the Hadamard and the Fejér-Hadamard inequalities for convex functions via Caputo fractional derivatives. We also derive some related inequalities for n-time differentiable functions f(n) such that |f(n)|q; q ≥ 1 is convex, by using Caputo fractional derivatives. [ABSTRACT FROM AUTHOR]

Published
2017

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