THE SHARPENING OF SOME INEQUALITIES VIA ABSTRACT CONVEXITY

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Adilov G., Tinaztepe G.

MATHEMATICAL INEQUALITIES & APPLICATIONS, vol.12, no.1, pp.33-51, 2009 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 12 Issue: 1
  • Publication Date: 2009
  • Doi Number: 10.7153/mia-12-04
  • Journal Name: MATHEMATICAL INEQUALITIES & APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.33-51
  • Keywords: Abstract convexity, functional inequalities, harmonic-geometric-arithmetic mean inequalities, global optimization
  • Akdeniz University Affiliated: Yes

Abstract

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.