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http://dx.doi.org/10.4134/JKMS.j190266

WEIGHTED HARDY INEQUALITIES WITH SHARP CONSTANTS

Kalybay, Aigerim (KIMEP University)
Oinarov, Ryskul (L. N. Gumilyov Eurasian National University)

Publication Information

Journal of the Korean Mathematical Society / v.57, no.3, 2020 , pp. 603-616 More about this Journal

Abstract

In the paper, we establish the validity of the weighted discrete and integral Hardy inequalities with periodic weights and find the best possible constants in these inequalities. In addition, by applying the established discrete Hardy inequality to a certain second-order difference equation, we discuss some oscillation and nonoscillation results.

Keywords

Discrete Hardy inequality; integral Hardy inequality; weight function; oscillation; difference equation;

Citations & Related Records

Reference

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