REVERSED HOLDER TYPE INEQUALITIES FOR MONOTONE-FUNCTIONS OF SEVERAL VARIABLES

Authors
BARZA S PECARIC J PERSSON LE
Citation
S. Barza et al., REVERSED HOLDER TYPE INEQUALITIES FOR MONOTONE-FUNCTIONS OF SEVERAL VARIABLES, Mathematische Nachrichten, 186, 1997, pp. 67-80
Citations number
17
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Mathematische Nachrichten → ACNP
ISSN journal
0025584X
Volume
186
Year of publication
1997
Pages
67 - 80
Database
ISI
SICI code
0025-584X(1997)186:<67:RHTIFM>2.0.ZU;2-M
Abstract
Some reversed Holder type inequalities yielding for monotone or quasim onotone functions of one variable have recently been obtained and appl ied (see e.g. [1], [2], [3], [5], [9], [12], [14], [17]). In this pape r some inequalities of this type are proved for the more general case with n functions of m variables (m, n epsilon Z(+)). Some of these res ults seem to be new also for the case n = 1 or m = 1.