Some New Hermite-Hadamard Type Integral Inequalities for Twice Differentiable s-Convex Functions

Meftah B., LAKHDARI A., Benchettah D. C.

Computational Mathematics and Modeling, cilt.33, sa.3, ss.330-353, 2022 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 33 Sayı: 3
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1007/s10598-023-09576-3
  • Dergi Adı: Computational Mathematics and Modeling
  • Derginin Tarandığı İndeksler: Scopus, Academic Search Premier, Applied Science & Technology Source, Computer & Applied Sciences, INSPEC, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.330-353
  • Anahtar Kelimeler: Hölder inequality, Integral inequality, power mean inequality, s-convex function
  • Kocaeli Üniversitesi Adresli: Evet

Özet

In this paper, some Hermite-Hadamard type inequalities are established for functions whose second derivatives are s-convex. Several inequalities are derived for twice differantiable mappings. There are also applications to special means of real numbers.