Copy For Citation
Adilov G., Tinaztepe G.
MATHEMATICAL INEQUALITIES & APPLICATIONS, vol.12, no.1, pp.33-51, 2009 (SCI-Expanded)
-
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.