An investigation into multiplicative fractional Weddle’s inequalities

Benaissa B., Azzouz N., BUDAK H.

Boundary Value Problems, cilt.2025, sa.1, 2025 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2025 Sayı: 1
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1186/s13661-025-02163-y
  • Dergi Adı: Boundary Value Problems
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, Directory of Open Access Journals
  • Anahtar Kelimeler: Boole inequalities, Multiplicative absolute value, Multiplicative fractional integrals, Multiplicative h-convex functions
  • Kocaeli Üniversitesi Adresli: Evet

Özet

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.