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, cilt.22, sa.12, 2025 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 22 Sayı: 12
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1142/s0219887825501002
  • Dergi Adı: INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Civil Engineering Abstracts
  • Anahtar Kelimeler: Fractal sets, generalized (h̃1, h̃2)-preinvex mappings, local fractional integrals, preinvexity
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

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.