On the Fractional Inequalities of the Milne Type

Budak H., Kara H., Öğünmez H.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, cilt.48, sa.11, ss.10833-10840, 2025 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 48 Sayı: 11
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1002/mma.10923
  • Dergi Adı: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.10833-10840
  • Anahtar Kelimeler: convex function, fractional integrals, Milne-type inequalities, twice differentiable convex function
  • Kocaeli Üniversitesi Adresli: Evet

Özet

Our investigations in this paper revolve around exploring fractional variants of inequalities of Milne type by applying twice differentiable convex mappings. Based on some principles of convexity, H & ouml;lder inequality, and power-mean inequality, novel inequalities are derived. The acquired inequalities are supported by illustrative examples, which are calculated via their proofs. Additionally, graphical representations are to verify the examples visually. Furthermore, this investigation unveils fresh findings within the realm of inequalities.