THE SHARPENING OF SOME INEQUALITIES VIA ABSTRACT CONVEXITY

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Adilov G., Tinaztepe G.

MATHEMATICAL INEQUALITIES & APPLICATIONS, cilt.12, sa.1, ss.33-51, 2009 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 12 Sayı: 1
  • Basım Tarihi: 2009
  • Doi Numarası: 10.7153/mia-12-04
  • Dergi Adı: MATHEMATICAL INEQUALITIES & APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.33-51
  • Anahtar Kelimeler: Abstract convexity, functional inequalities, harmonic-geometric-arithmetic mean inequalities, global optimization
  • Akdeniz Üniversitesi Adresli: Evet

Özet

One of the application areas of abstract convexity is inequality theory. In this work, the authors seek to derive new inequalities by sharpening well-known inequalities by the use of abstract convexity. Cauchy-Schwarz inequality, Minkowski inequality and well-known mean inequalities are studied in this sense, concrete results are obtained for some of them.