Estimate of the Best Constant of Discrete Hardy-Type Inequality with Matrix Operator Satisfying the Oinarov Condition


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Authors

  • Aigerim Kalybay
  • Saltanat Shalginbayeva

Keywords:

Hardy-type inequality, weight sequence, space of sequences, matrix operator, Oinarov condition

Abstract

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 various studies. In this paper, we extend the result with a two-sided estimate of the inequality constant.

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Published

2024-07-15

How to Cite

Kalybay, A., & Shalginbayeva, S. (2024). Estimate of the Best Constant of Discrete Hardy-Type Inequality with Matrix Operator Satisfying the Oinarov Condition. Eurasian Mathematical Journal, 15(2), 42–47. Retrieved from https://emj.enu.kz/index.php/main/article/view/341

Issue

Vol. 15 No. 2 (2024)

Section

Articles