A refinement of Newton and Maclaurin inequalities through abstract convexity

TINAZTEPE G., Tinaztepe R.

TURKISH JOURNAL OF MATHEMATICS, cilt.46, sa.3, ss.699-709, 2022 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 46 Sayı: 3
  • Basım Tarihi: 2022
  • Doi Numarası: 10.3906/mat-2110-41
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.699-709
  • Anahtar Kelimeler: Key words, Abstract convexity, Maclaurin inequality, Newton inequality
  • Akdeniz Üniversitesi Adresli: Evet

Özet

In this study, the refinements of Maclaurin's and Newton's inequalities are given. These refinements are obtained by applying the results on optimality conditions of abstract convex functions. When doing this, we obtain lower bounds for the solutions of some special rational equations.