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


Gül E., Akdemir A. O., Yalçın A.

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

  • 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
  • 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.