Fractional multiplicative Newton-type inequalities for multiplicative s-convex positive functions with application
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, cilt.465, 2025 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 465
- Basım Tarihi: 2025
- Doi Numarası: 10.1016/j.cam.2025.116600
- Dergi Adı: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
- Derginin Tarandığı İndeksler: 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
- Anahtar Kelimeler: Fractional calculus, Multiplicative s-convex functions, Newton–type inequality, Non-Newtonian calculus
- Kocaeli Üniversitesi Adresli: Hayır
Özet
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.