New approaches to corrected Euler-Maclaurin-type inequalities involving Riemann-Liouville fractional integrals for different function classes

Kara, HasanHezenci, FatihMunir, ArslanBudak, Huseyin2025-10-112025-10-1120251687-2770https://doi.org/10.1186/s13661-025-02084-whttps://hdl.handle.net/20.500.12684/21721This paper investigates several Corrected Euler-Maclaurin-type inequalities for different function classes using Riemann-Liouville fractional integrals. The results, which are derived from special cases of theorems and illustrative examples, are subsequently presented. Furthermore, the authors have developed fractional Corrected Euler-Maclaurin-type inequalities for bounded functions. In addition, the research has acquired fractional Corrected Euler-Maclaurin-type inequalities for Lipschitzian functions. Finally, the study concludes with the derivation of fractional Corrected Euler-Maclaurin-type inequalities for functions of bounded variation.en10.1186/s13661-025-02084-winfo:eu-repo/semantics/openAccessQuadrature formulaeMaclaurin's formulaCorrected Euler-Maclaurin-type inequalityConvex functionsFractional calculusNew approaches to corrected Euler-Maclaurin-type inequalities involving Riemann-Liouville fractional integrals for different function classesArticle202512-s2.0-105008196894WOS:001509870000001Q1Q1