FRACTIONAL MILNE TYPE INEQUALITIES

BUDAK H., Karagözoğlu P.

Acta Mathematica Universitatis Comenianae, vol.93, no.1, pp.1-15, 2024 (ESCI, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 93 Issue: 1
  • Publication Date: 2024
  • Journal Name: Acta Mathematica Universitatis Comenianae
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, Aerospace Database, Central & Eastern European Academic Source (CEEAS), Communication Abstracts, Metadex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.1-15
  • Keywords: bounded function, convex function, fractional integrals, function of bounded variation, Milne type inequalities
  • Kocaeli University Affiliated: Yes

Abstract

In the literature, there are several numerical integration formulas and many researchers have been investigating the error bounds of these formulas for several function classes such as convex functions, bounded functions, Lipschitzian functions, functions of bounded variation, etc. In this research article, we obtain some Milne type inequalities to the case of Riemann–Liouville fractional integrals by means of some important function classes. This is the first paper focusing on fractional Milne type inequalities.