On new versions of Milne-type inequalities based on tempered fractional integrals

Shehzadi A., Budak H., Haider W., Hezenci F., Chen H.

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, vol.23, no.2, 2025 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 23 Issue: 2
  • Publication Date: 2025
  • Doi Number: 10.1142/s0219887825501506
  • 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: convex functions, fractional version, Inequalities of Milne-type, tempered fractional integrals
  • Kocaeli University Affiliated: Yes

Abstract

This investigation reveals significant identity related to the Milne-type inequalities. Utilizing this identity, we derive Milne-type inequalities by incorporating differentiable convex mappings, including tempered fractional integrals. Our strategy involves delving into notable functional categories such as convex, bounded, Lipschitzian, and functions with bounded variation. What's more, new findings are achieved through special choices.