On exact inequalities of Hardy-Littlewood-Polya type

Babenko, VF; Rassias, TM

dc.contributor.author	Babenko, VF	en
dc.contributor.author	Rassias, TM	en
dc.date.accessioned	2014-03-01T01:15:45Z
dc.date.available	2014-03-01T01:15:45Z
dc.date.issued	2000	en
dc.identifier.issn	0022-247X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/13711
dc.subject	Hilbert Function	en
dc.subject	Spectrum	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.title	On exact inequalities of Hardy-Littlewood-Polya type	en
heal.type	journalArticle	en
heal.identifier.primary	10.1006/jmaa.2000.6786	en
heal.identifier.secondary	http://dx.doi.org/10.1006/jmaa.2000.6786	en
heal.language	English	en
heal.publicationDate	2000	en
heal.abstract	The following problem is investigated for certain Hilbert function spaces: for a given A greater than or equal to 0 find the infimum of the set of B greater than or equal to 0 such that the inequality parallel to x((k))parallel to(2)(2) less than or equal to A parallel to x parallel to(2)(2) + B parallel to x((r))parallel to(2)(2), for k, r is an element of N boolean OR {0}, 0 less than or equal to k < r, holds for all sufficiently smooth functions. An analogous problem is investigated under some restrictions on the spectrum of functions. (C) 2000 Academic Press.	en
heal.publisher	ACADEMIC PRESS INC	en
heal.journalName	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS	en
dc.identifier.doi	10.1006/jmaa.2000.6786	en
dc.identifier.isi	ISI:000086999300017	en
dc.identifier.volume	245	en
dc.identifier.issue	2	en
dc.identifier.spage	570	en
dc.identifier.epage	593	en