Estimates on the Simpson Type Inequalities via Tempered Fractional Integrals

Abstract

In this paper, we determine the upper and lower bounds for Simpson’s type inequalities involving tempered fractional integrals, focusing on functions with bounded second derivatives. Additionally, by considering specific parameter values in the results, we recover previous studies, thus generalizing the findings of earlier research.

Keywords

• Simpson-type inequalities
• Riemann-Liouville fractional integrals
• tempered fractional integrals
• bounded second derivatives

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