Abstract

This paper aims to examine an approach that studies many Euler-Maclaurin-type inequalities for various function classes applying Riemann-Liouville fractional integrals. Afterwards, our results are provided by using special cases of obtained theorems and examples. Moreover, several Euler-Maclaurin-type inequalities are presented for bounded functions by fractional integrals. Some fractional Euler-Maclaurin-type inequalities are established for Lipschitzian functions. Finally, several Euler-Maclaurin-type inequalities are constructed by fractional integrals of bounded variation.

  • Kapsamı

    Uluslararası

  • Type

    Hakemli

  • Index info

    WOS.SCI

  • Language

    English

  • Article Type

    None

  • Keywords

    quadrature formulae Maclaurin's formula convex functions fractional calculus