THE MAPPING V(X,Y) IN NORMED LINEAR-SPACES WITH APPLICATIONS TO INEQUALITIES IN ANALYSIS

Authors
DRAGOMIR SS KOLIHA JJ
Citation
Ss. Dragomir et Jj. Koliha, THE MAPPING V(X,Y) IN NORMED LINEAR-SPACES WITH APPLICATIONS TO INEQUALITIES IN ANALYSIS, JOURNAL OF INEQUALITIES AND APPLICATIONS, 2(1), 1998, pp. 37-55
Citations number
7
Categorie Soggetti
Mathematics,Mathematics,Mathematics,Mathematics
Journal title
JOURNAL OF INEQUALITIES AND APPLICATIONS → ACNP
ISSN journal
10255834
Volume
2
Issue
1
Year of publication
1998
Pages
37 - 55
Database
ISI
SICI code
1025-5834(1998)2:1<37:TMVINL>2.0.ZU;2-P
Abstract
In this paper we introduce the mapping v(x,y) connected with the lower and upper semi-inner products (.,.)(i) and (.,.)(s), and study its mo notonicity, boundedness, convexity and other properties. Applications to theory of inequalities in analysis are given including refinements of the Schwarz inequality.