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, 2025 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Basım Tarihi: 2025
• Doi Numarası: 10.1142/s0219887825501506
• Dergi Adı: INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Civil Engineering Abstracts
• Anahtar Kelimeler: convex functions, fractional version, Inequalities of Milne-type, tempered fractional integrals
• Kocaeli Üniversitesi Adresli: Evet

Özet

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.