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Improvement of conformable fractional Hermite-Hadamard type inequality for convex functions and some new conformable fractional midpoint type inequalities
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In this paper, it is proved that conformable fractional Hermite-Hadamard inequality and conformable fractional Hermite-Hadamard-Fejer inequality is just the results of Hermite-Hadamard-Fejér inequality. After this, a new conformable fractional Hermite-Hadamard inequality which is not a result of Hermite-Hadamard-Fejér inequality and better than given in [8] by Set et al. is obtained. Also, new equality is proved and some new conformable fractional midpoint type inequalities are given. Our results have some relations with the results given in $[5,6]$.
Title: Improvement of conformable fractional Hermite-Hadamard type inequality for convex functions and some new conformable fractional midpoint type inequalities
Description:
In this paper, it is proved that conformable fractional Hermite-Hadamard inequality and conformable fractional Hermite-Hadamard-Fejer inequality is just the results of Hermite-Hadamard-Fejér inequality.
After this, a new conformable fractional Hermite-Hadamard inequality which is not a result of Hermite-Hadamard-Fejér inequality and better than given in [8] by Set et al.
is obtained.
Also, new equality is proved and some new conformable fractional midpoint type inequalities are given.
Our results have some relations with the results given in $[5,6]$.
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