Geodesic
Estimate of the best constant of discrete Hardy-type inequality with matrix operator satisfying the Oinarov condition
Eurasian mathematical journal, Tome 15 (2024) no. 2, pp. 42-47

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This paper studies the weighted inequality of Hardy-type in discrete form for matrix operators satisfying the Oinarov condition. Necessary and sufficient conditions on the weight sequences under which the Hardy-type inequality holds were found in [13] for the case $1 p \leq q \infty$, in [14] for the case $1 q p \infty$, and in [15] for the case $0 p \leq q \infty$, $0 p \leq 1$. In this paper, we extend the result of [13] with a two-sided estimate of the inequality constant. 
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     title = {Estimate of the best constant of discrete {Hardy-type} inequality with matrix operator satisfying the {Oinarov} condition},
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A. Kalybay; S. Shalginbayeva. Estimate of the best constant of discrete Hardy-type inequality with matrix operator satisfying the Oinarov condition. Eurasian mathematical journal, Tome 15 (2024) no. 2, pp. 42-47. http://geodesic.mathdoc.fr/item/EMJ_2024_15_2_a2/