Some New Inequalities for Differentiable h-Convex Functions and Applications

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ÇAKMAK M., Tunç M., Acem A.

Miskolc Mathematical Notes, cilt.22, sa.1, ss.107-121, 2021 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 22 Sayı: 1
  • Basım Tarihi: 2021
  • Doi Numarası: 10.18514/mmn.2021.2444
  • Dergi Adı: Miskolc Mathematical Notes
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Sayfa Sayıları: ss.107-121
  • Anahtar Kelimeler: h-convex function, Hadamard inequality, Hölder inequality, s-convex function, tgs-convex functions
  • Hatay Mustafa Kemal Üniversitesi Adresli: Evet

Özet

In this paper, the authors established a new identity for differentiable functions, afterwards they obtained some new inequalities for functions whose first derivatives in absolute value at certain powers are h-convex by using the identity. Also they give some applications for special means for arbitrary positive numbers.