Best Possible Results In A Class Of Inequalities .2

    Authors

    P. D. Johnson;R. N. Mohapatra

    Comments

    Authors: contact us about adding a copy of your work at STARS@ucf.edu

    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

    Share

    COinS