Analysing Milne-type inequalities by using tempered fractional integrals

Haider W., Budak H., Shehzadi A., Hezenci F., Chen H.

ANALYSIS AND MATHEMATICAL PHYSICS, cilt.14, sa.5, 2024 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 5
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1007/s13324-024-00958-3
  • Dergi Adı: ANALYSIS AND MATHEMATICAL PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

In this research, we define an essential identity for differentiable functions in the framework of tempered fractional integral. By utilizing this identity, we deduce several modifications of fractional Milne-type inequalities. We provide novel expansions of Milne-type inequalities in the domain of tempered fractional integrals. The investigation emphasises important functional categories, including convex functions, bounded functions, Lipschitzian functions, and functions with bounded variation.