This article is cited in 5 papers

Iterated discrete Hardy-type inequalities

N. Zhangabergenova, A. Temirkhanova

Department of Mechanics and Mathematics, L.N. Gumilyov Eurasian National University, 5 Munaitpasov St, 010008 Astana, Kazakhstan

Abstract: In this paper, we discuss new discrete inequalities of Hardy-type involving iterated operators. Under some conditions on weight sequences, we establish necessary and sufficient conditions for the validity of these inequalities.

Keywords and phrases: discrete inequality, Hardy-type operator, weight sequence, sequence space, characterization.

MSC: 26D15, 26D20

Received: 01.11.2022

Language: English

DOI: 10.32523/2077-9879-2023-14-1-81-95

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