An investigation into multiplicative fractional Weddle’s inequalities

Benaissa B., Azzouz N., BUDAK H.

Boundary Value Problems, vol.2025, no.1, 2025 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 2025 Issue: 1
  • Publication Date: 2025
  • Doi Number: 10.1186/s13661-025-02163-y
  • Journal Name: Boundary Value Problems
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, Directory of Open Access Journals
  • Keywords: Boole inequalities, Multiplicative absolute value, Multiplicative fractional integrals, Multiplicative h-convex functions
  • Kocaeli University Affiliated: Yes

Abstract

This article presents a new way to think about multiplicative Weddle inequalities, which is based on multiplicative Riemann-Liouville fractional integrals. We prove more inequality using the fact that the function is multiplicative h-convex, assuming that there is a multiplicative absolute value with new properties. Furthermore, we express these results in terms of multiplicatively P-functions and multiplicatively s-convex functions. The final section introduces a novel definition of a multiplicative Lipschitzian function, accompanied by pertinent examples, properties, and theorems.