ON CONFORMABLE FRACTIONAL NEWTON-TYPE INEQUALITIES

Xu H., Awan M. U., Meftah B., Jarad F., LAKHDARI A.

Fractals, vol.33, no.7, 2025 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 33 Issue: 7
  • Publication Date: 2025
  • Doi Number: 10.1142/s0218348x25500458
  • Journal Name: Fractals
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Compendex, INSPEC, zbMATH, DIALNET, Civil Engineering Abstracts
  • Keywords: Conformable Fractional Integral Operators, Convex Functions, Hölder Inequality, Power Mean Inequality, Simpson 3/8 Inequalities
  • Kocaeli University Affiliated: Yes

Abstract

By using a parametrized analysis, this paper presents a study that focuses on examining both the Simpson's 3/8 formula and the corrected Simpson's 3/8 formula. By utilizing a unique identity that incorporates conformable fractional integral operators, we have constructed novel conformable Newton-type inequalities for functions that possess second-order s-convex derivatives. Special cases are extensively discussed, and the accuracy of the results is validated through a numerical example with graphical representations.