ON GENERALIZATIONS OF INTEGRAL INEQUALITIES
Problemy Analiza, cilt.12-29, sa.2, ss.3-23, 2022 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 12-29 Sayı: 2
- Basım Tarihi: 2022
- Doi Numarası: 10.15393/j3.art.2022.11190
- Dergi Adı: Problemy Analiza
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
- Sayfa Sayıları: ss.3-23
- Anahtar Kelimeler: convex function, Hermite-Hadamard inequality, Simp-son-type inequality, Lipschitz conditions, Lagrange theorem, Rie-mann-Liouville fractional integral, HERMITE-HADAMARD TYPE, S-CONVEX, DIFFERENTIABLE MAPPINGS, SIMPSONS TYPE, REAL NUMBERS, DERIVATIVES
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Bursa Uludağ Üniversitesi Adresli: Evet
Özet
© Petrozavodsk State University, 2022In the present study, several new generalized integral inequalities of the Hadamard and Simpson-type are obtained. The results were obtained for functions whose first and third derivatives are either convex or satisfy the Lipschitz condition or the conditions of the Lagrange theorem. In a particular case, these results not only confirm but also improve some upper bounds, well known in the literature for the Simpson and Hermite-Hadamard-type inequalities.