2019•DSpace - Düzce (Duzce University)Open access

Some generalized integral inequalities via fractional integrals

Mehmet Zeki Sarıkaya, Hüseyin Budak, Fuat Usta

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Abstract

The main goal of this paper is to introduce a new integral definition concerned with fractional calculus. Then we establish generalized Hermite-Hadamard type integral inequalities for convex function using proposed fractional integrals. The results presented in this paper provide extensions of those given in earlier works.

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What this paper is about

The main goal of this paper is to introduce a new integral definition concerned with fractional calculus. Then we establish generalized Hermite-Hadamard type integral inequalities for convex function using proposed fractional integrals. The results presented in this paper provide extensions of those given in earlier works.

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Available abstract

The main goal of this paper is to introduce a new integral definition concerned with fractional calculus. Then we establish generalized Hermite-Hadamard type integral inequalities for convex function using proposed fractional integrals. The results presented in this paper provide extensions of those given in earlier works.

Key concepts: Mathematics, Fractional calculus, Inequality, Calculus (dental), Applied mathematics, Mathematical analysis, Medicine, Dentistry

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