ON SOME INEQUALITIES OF THE GRUSS-BARNES AND BORELLI TYPE

Authors
MALIGRANDA L PECARIC JE PERSSON LE
Citation
L. Maligranda et al., ON SOME INEQUALITIES OF THE GRUSS-BARNES AND BORELLI TYPE, Journal of mathematical analysis and applications, 187(1), 1994, pp. 306-323
Citations number
23
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
Journal title
Journal of mathematical analysis and applications → ACNP
ISSN journal
0022247X
Volume
187
Issue
1
Year of publication
1994
Pages
306 - 323
Database
ISI
SICI code
0022-247X(1994)187:1<306:OSIOTG>2.0.ZU;2-N
Abstract
Some new generalizations of the Gruss-Barnes and Borell inequlaities a re proved. A new proof, using the classical Chebyshev inequality, for the case of two functions is presented and applied. A crucial inequali ty for n functions by Borell [J. Math. Anal. Appl. 41 (1973), 300-312] is also discussed. Some recent results are sharpened and complemented . Interpolated or weighted versions of some of the inequalities are po inted out. (C) 1994 Academic Press, Inc.