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Improvement of fractional Hermite-Hadamard type inequality for convex functions

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In this paper, it is proved that fractional Hermite-Hadamard inequality and fractional Hermite-Hadamard-Fejér inequality are just results of Hermite-Hadamard-Fejér inequality. After this, a new fractional Hermite-Hadamard inequality which is not… Click to show full abstract

In this paper, it is proved that fractional Hermite-Hadamard inequality and fractional Hermite-Hadamard-Fejér inequality are just results of Hermite-Hadamard-Fejér inequality. After this, a new fractional Hermite-Hadamard inequality which is not a result of Hermite-HadamardFejér inequality and better than given in [9] by Sarıkaya et al. is obtained. Also, a new equality is proved and some new fractional midpoint type inequalities are given. Our results generalizes the results given in [5] by Kırmacı. 2010 Mathematics Subject Classification: 26A51; 26A33; 26D10

Keywords: type; fractional hermite; hermite hadamard; inequality

Journal Title: Miskolc Mathematical Notes
Year Published: 2018

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