New Results on Simpson-Type Inequalities for Co-ordinated Convex Function by Generalized Conformable Integrals
EXPERIMENTAL MATHEMATICS, cilt.34, sa.3, ss.446-458, 2025 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 34 Sayı: 3
- Basım Tarihi: 2025
- Doi Numarası: 10.1080/10586458.2024.2380760
- Dergi Adı: EXPERIMENTAL MATHEMATICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.446-458
- Anahtar Kelimeler: co-ordinated convex function, conformable fractional integrals, fractional integral operators, Simpson inequality
- Kocaeli Üniversitesi Adresli: Hayır
Özet
In this paper, firstly, we prove an identity involving generalized conformable integrals. By using this obtained identity, we establish several Simpson-type inequalities for differentiable co-ordinated convex function by means of generalized conformable fractional integrals. More precisely, some Simpson-type inequalities are obtained using the well-known H & ouml;lder and Power mean inequalities. Furthermore, we also consider some special cases which can be deduced from the main results.