DISCRETE HARDY-TYPE INEQUALITY WITH KERNEL

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Weight Characterizations for the Discrete Hardy Inequality with Kernel

A discrete Hardy-type inequality ( ∑∞ n=1( ∑n k=1dn,kak)un) ≤ C( ∑∞ n=1 a p nvn) is considered for a positive “kernel” d = {dn,k}, n,k ∈ Z+, and p ≤ q. For kernels of product type some scales of weight characterizations of the inequality are proved with the corresponding estimates of the best constant C. A sufficient condition for the inequality to hold in the general case is proved and this co...

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ژورنال

عنوان ژورنال: International Journal of Pure and Apllied Mathematics

سال: 2016

ISSN: 1311-8080,1314-3395

DOI: 10.12732/ijpam.v106i2.11