On an inequality of Kolmogorov type for a second-order difference expression

Autor:	Evans WD, Delil A
Jazyk:	angličtina
Rok vydání:	1999
Předmět:	Formally symmetric difference expressions Kolmogorov type inequalities Hellinger–Nevanlinna m-function Limit-point condition Partial separation Mathematics QA1-939
Zdroj:	Journal of Inequalities and Applications, Vol 1999, Iss 2, p 276452 (1999)
Druh dokumentu:	article
ISSN:	1025-5834 1029-242X
Popis:	In this paper we discuss an inequality of Kolmogorov type for the square of a second-order formally symmetric difference expression in the limit point case. A connection between the existence of the inequality and the Hellinger–Nevanlinna function associated with the difference expression is established and it is shown that the best constant in the inequality is determined by the behaviour of the -function. Analytical and computational results are obtained for specific classes of problems. Also necessary and sufficient conditions for the powers of the difference expression to be partially separated are given.
Databáze:	Directory of Open Access Journals
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