Vol. 124, No. 2, 1986

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On inclusion relations for absolute Nörlund summability

Ikuko Miyamoto

Vol. 124 (1986), No. 2, 365–374
Abstract

Recently Das gives sufficient conditions for (N,rn) (N,pn)(N,qn) or (N,pn)(N,qn) (N,rn), and for |(N,Pn)|∼|(N,pn)(C,1)|. The purpose of this paper is to give sufficient conditions for |(N,rn)|⊆|(N,pn)(N,qn)| or |(N,pn)(N,qn)|⊆|(N,rn)|. The results obtained here are also absolute summability analogues of Das’ theorems.

Mathematical Subject Classification 2000
Primary: 40D25
Secondary: 40F05
Milestones
Received: 15 March 1985
Published: 1 October 1986
Authors
Ikuko Miyamoto