On some inequalities for functions whose absolute values of the second derivatives are α-, m-, (α,m)-logarithmically convex

Karabayir I., Tunç M., Yüksel E.

Georgian Mathematical Journal, cilt.22, sa.2, ss.251-257, 2015 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 22 Sayı: 2
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1515/gmj-2015-0002
  • Dergi Adı: Georgian Mathematical Journal
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.251-257
  • Anahtar Kelimeler: Cauchy's inequality, Hadamard's inequality, Hölder's inequality, power mean inequality, α-, m-, (α, m)-logarithmically convex
  • Hatay Mustafa Kemal Üniversitesi Adresli: Evet

Özet

In this paper, we establish some new Hadamard-type inequalities using elementary well-known inequalities for functions whose absolute values of the second derivatives are α-, m-, (α,m)-logarithmically convex.