http://dx.doi.org/10.1006/jmaa.1994.1460

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Title

Best Possible Results In A Class Of Inequalities .2

Authors

Authors

P. D. Johnson;R. N. Mohapatra

Comments

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Abbreviated Journal Title

J. Math. Anal. Appl.

Keywords

Mathematics, Applied; Mathematics

Abstract

We give a sufficient condition on a lower triangular infinite matrix A with nonnegative entries, and a positive sequence b = (b(n)), for an inequality of the form \\A(b\x\)\\(p) less than or equal to K\\x\\(p), x is an element of l(p), to be best possible, in the sense that there is no positive sequence d = (d(n)) such that (d(n)b(n)(-1)) is a monotone unbounded sequence, and an inequality of the form above holds with b replaced by d. This condition permits easy proofs of ''best possible'' theorems that generalize a previous result concerning Hardy's inequality. (C) 1994 Academic Press, Inc.

Journal Title

Journal of Mathematical Analysis and Applications

Volume

188

Issue/Number

3

Publication Date

1-1-1994

Document Type

Article

Language

English

First Page

752

Last Page

758

WOS Identifier

WOS:A1994PX15000004

ISSN

0022-247X

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