FRACTIONAL MILNE TYPE INEQUALITIES

BUDAK H., Karagözoğlu P.

Acta Mathematica Universitatis Comenianae, cilt.93, sa.1, ss.1-15, 2024 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 93 Sayı: 1
  • Basım Tarihi: 2024
  • Dergi Adı: Acta Mathematica Universitatis Comenianae
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, Aerospace Database, Central & Eastern European Academic Source (CEEAS), Communication Abstracts, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.1-15
  • Anahtar Kelimeler: bounded function, convex function, fractional integrals, function of bounded variation, Milne type inequalities
  • Kocaeli Üniversitesi Adresli: Evet

Özet

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.