Fractional Simpson-Type Inequalities for Twice Differentiable Functions

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Budak H., Kara H., Hezenci F.

SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, cilt.20, sa.3, ss.97-108, 2023 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 20 Sayı: 3
• Basım Tarihi: 2023
• Doi Numarası: 10.22130/scma.2023.557735.1150
• Dergi Adı: SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH, Directory of Open Access Journals
• Sayfa Sayıları: ss.97-108
• Kocaeli Üniversitesi Adresli: Hayır

Özet

In the literature, several papers are devoted to inequal-ities of Simpson-type in the case of differentiable convex functions and fractional versions. Moreover, some papers are focused on in-equalities of Simpson-type for twice differentiable convex functions. In this research article, we obtain an identity for twice differentiable convex functions. Then, we prove several fractional inequalities of Simpson-type for convex functions.