A. Kalybay, S. Shalginbayeva, “Additive estimates for discrete Hardy-type operators”, Eurasian Math. J., 2018, Volume 9, Number 2,Pages <nobr>44

Additive estimates for discrete Hardy-type operators

A. Kalybay^a, S. Shalginbayeva^b

^a Department of Economics, KIMEP University, 4 Abay Ave, 050010 Almaty, Kazakhstan
^b Kazakh Ablai Khan University of International Relations and World Languages, 200 Muratbayev St, 050022 Almaty, Kazakhstan

Abstract: We establish necessary and sufficient conditions for the validity of weighted additive estimates of the norms of the discrete Hardy operators.

Keywords and phrases: additive inequality, Hardy-type inequality, matrix operator, space of sequences.

MSC: 26D10, 26D15, 39B82

Received: 19.09.2016

Language: English