Tempered fractional version of trapezoid-type inequalities

Hezenci F., BUDAK H.

Journal of Inequalities and Applications, cilt.2025, sa.1, 2025 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2025 Sayı: 1
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1186/s13660-025-03346-y
  • Dergi Adı: Journal of Inequalities and Applications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Anahtar Kelimeler: Convex functions, Fractional integrals, Tempered fractional integrals, Trapezoid-type inequalities
  • Kocaeli Üniversitesi Adresli: Evet

Özet

In this article, trapezoid-type inequalities are proved by means of convex functions according to tempered fractional integral operators. The resulting trapezoid-type inequalities generalize several studies on this subject, including those involving Riemann-Liouville fractional integrals. To obtain these types of inequalities, we utilize the Hölder and power-mean inequalities. Finally, new results are obtained through specific parameter choices.