Generalized local fractional integral inequalities via generalized (h1,h2)-preinvexity on fractal sets

Al-Sa'di S., Bibi M., Muddassar M., Budak H.

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, vol.22, no.12, 2025 (SCI-Expanded, Scopus) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume: 22 Issue: 12
  • Publication Date: 2025
  • Doi Number: 10.1142/s0219887825501002
  • Journal Name: INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Civil Engineering Abstracts
  • Keywords: Fractal sets, generalized (h̃1, h̃2)-preinvex mappings, local fractional integrals, preinvexity
  • Kocaeli University Affiliated: No

Abstract

In this paper, we establish several general local fractional integral inequalities via generalized (h1,h2) preinvex mapping on fractal sets. By considering different parameter values, we develop particular applications of our result, such as midpoint-type inequality, generalized trapezoidal-type inequality, and generalized Simpson-type inequality. We present applications of the derived inequalities in numerical quadrature formulas, providing error estimates.