2021•Journal of Mathematical InequalitiesOpen access

New generalized Riemann-Liouville fractional integral inequalities for convex functions

Pshtiwan Othman Mohammed

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Abstract

In the literature, the right-side of Hermite-Hadamard's inequality is called trapezoid type inequality. In this paper, we obtain new integral inequalities of trapezoid type for convex functions involving generalized Riemann-Liouville fractional integrals ( -Riemann-Liouville fractional integrals). Our obtained inequalities generalize some recent classical integral inequalities and Riemann-Liouville fractional integral inequalities which are established in earlier works.

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In the literature, the right-side of Hermite-Hadamard's inequality is called trapezoid type inequality. In this paper, we obtain new integral inequalities of trapezoid type for convex functions involving generalized Riemann-Liouville fractional integrals ( -Riemann-Liouville fractional integrals). Our obtained inequalities generalize some recent classical integral inequalities and Riemann-Liouville fractional integral inequalities which are established in earlier works.

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Available abstract

In the literature, the right-side of Hermite-Hadamard's inequality is called trapezoid type inequality. In this paper, we obtain new integral inequalities of trapezoid type for convex functions involving generalized Riemann-Liouville fractional integrals ( -Riemann-Liouville fractional integrals). Our obtained inequalities generalize some recent classical integral inequalities and Riemann-Liouville fractional integral inequalities which are established in earlier works.

Key concepts: Mathematics, Convex function, Regular polygon, Pure mathematics, Inequality, Fractional calculus, Mathematical analysis, Geometry

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