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


Views: 408 / PDF downloads: 299

Authors

  • Aigerim Kalybay
  • Saltanat Shalginbayeva

DOI:

https://doi.org/10.32523/2077-9879-2024-15-2-42-47

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.

Downloads

Published

2024-06-30

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. https://doi.org/10.32523/2077-9879-2024-15-2-42-47

Issue

Vol. 15 No. 2 (2024)

Section

Articles