Some Euler-Maclaurin-Type Inequalities by Means of Tempered Fractional Integrals

Hezenci F., BUDAK H.

Journal of Nonlinear Modeling and Analysis, cilt.6, sa.4, ss.930-948, 2024 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 6 Sayı: 4
  • Basım Tarihi: 2024
  • Doi Numarası: 10.12150/jnma.2024.930
  • Dergi Adı: Journal of Nonlinear Modeling and Analysis
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.930-948
  • Anahtar Kelimeler: convex functions, Euler-Maclaurin-type inequality, quadrature formulae, tempered fractional integrals
  • Kocaeli Üniversitesi Adresli: Evet

Özet

This paper introduces an equality that is valid for tempered fractional integrals. By using this equality, we establish some Euler-Maclaurin-type inequalities for the case of differentiable convex functions involving tempered fractional integrals. Furthermore, our results are provided by using special cases of obtained theorems.