Some New Approaches to Fractional Euler-Maclaurin-Type Inequalities via Various Function Classes
Mehmet Gumus, Fatih Hezenci, Mustafa Yildiz
article (Uluslararası, Hakemli) | Yazar(lar): Mehmet Gumus, Fatih Hezenci, Mustafa Yildiz | Yıl: 2024 — Özet: 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 u
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.