New generalized Riemann-Liouville fractional integral inequalities for convex functions
Pshtiwan Othman Mohammed
Abstract
Open-access reader
Pshtiwan Othman Mohammed
Abstract
Open-access reader
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.
OpenAlex reports 11 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
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