Fractional multiplicative Newton-type inequalities for multiplicative s-convex positive functions with application

Lakhdari A., Benchettah D. C., Meftah B.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, vol.465, 2025 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 465
  • Publication Date: 2025
  • Doi Number: 10.1016/j.cam.2025.116600
  • Journal Name: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, Computer & Applied Sciences, INSPEC, MathSciNet, Metadex, zbMATH, DIALNET, Civil Engineering Abstracts
  • Keywords: Fractional calculus, Multiplicative s-convex functions, Newton–type inequality, Non-Newtonian calculus
  • Kocaeli University Affiliated: No

Abstract

In this paper, we begin by demonstrating a novel fractional multiplicative integral identity applicable to multiplicative differentiable functions. Leveraging this identity, we derive fractional Newton-type inequalities for multiplicative s-convex functions. Graphical representations accompany illustrative examples to validate the accuracy of our findings. Additionally, we provide applications of our results to special means.