New Conformable Fractional Operator and Some Related Inequalities
Filomat, cilt.35, sa.11, ss.3597-3606, 2021 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 35 Sayı: 11
- Basım Tarihi: 2021
- Doi Numarası: 10.2298/fil2111597u
- Dergi Adı: Filomat
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
- Sayfa Sayıları: ss.3597-3606
- Anahtar Kelimeler: Taylor&rsquo, s formula, beta-integral, Steffensen inequality, Hermite-Hadamard inequality
- Uşak Üniversitesi Adresli: Evet
Özet
In this study, we introduce a new conformable derivative, namely the beta-conformable deriva-tive. We derive Taylor’s theorem for this derivative. We also investigate some new properties of Taylor’s theorem and some useful related theorems for the beta-conformable derivative. In the light of the new oper-ator, we extend some recent and classical integral inequalities including Steffensen and Hermite-Hadamard inequality.