Some Euler-Maclaurin-Type Inequalities by Means of Tempered Fractional Integrals
Journal of Nonlinear Modeling and Analysis, cilt.6, sa.4, ss.930-948, 2024 (Scopus)
- 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: Hayır
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.