Some Results on Fractional Corrected Euler-Maclaurin-Type Inequalities Related to Various Function Classes

Abstract

In this paper, some corrected Euler-Maclaurin-type inequalities are established by using various function classes involving Riemann-Liouville fractional integrals. We then present our findings using examples and special cases of the theorems that we have discovered. Moreover, we provide several fractional corrected Euler-Maclaurin-type for bounded functions. Additionally, for Lipschitzian functions, we create a few fractional corrected Euler-Maclaurin-type inequalities. Lastly, we provide some fractional corrected Euler-Maclaurin-type inequalities for functions of bounded variation.