Hermite-Hadamard Inequalities for a New Class of Generalized-(s,m) via Fractional Integral

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Gül E., Akdemir A. O., Yalçın A.

Türk Doğa ve Fen Dergisi, sa.1, ss.109-115, 2024 (TRDizin)

• Yayın Türü: Makale / Tam Makale
• Basım Tarihi: 2024
• Doi Numarası: 10.46810/tdfd.1423351
• Dergi Adı: Türk Doğa ve Fen Dergisi
• Derginin Tarandığı İndeksler: TR DİZİN (ULAKBİM), Index Copernicus
• Sayfa Sayıları: ss.109-115
• Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
• Yıldız Teknik Üniversitesi Adresli: Evet

Özet

This paper defines a new generalized (s,m)-σ convex function using the σ convex functions and provides some applications and exact results for this kind of functions. The new definition of the (s,m)-σ convex function class is used to obtain the Hermite Hadamard type integral inequalities existing in the literature, and new integral inequalities are obtained with the help of the σ-Riemann-Liouville fractional integral. Additionally, a new Hermite-Hadamard type fractional integral inequality is constructed using the σ-Riemann-Liouville fractional integral.