Some New Approaches to Fractional Euler-Maclaurin-Type Inequalities via Various Function Classes

Gumus M., Hezenci F., Budak H.

FRACTAL AND FRACTIONAL, vol.8, no.7, 2024 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 8 Issue: 7
  • Publication Date: 2024
  • Doi Number: 10.3390/fractalfract8070372
  • Journal Name: FRACTAL AND FRACTIONAL
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, INSPEC, Directory of Open Access Journals
  • Kocaeli University Affiliated: No

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.