%0 Journal Article
%T Asymptotic equivalence and summability
%A Mousa S. Marouf
%J International Journal of Mathematics and Mathematical Sciences
%D 1993
%I Hindawi Publishing Corporation
%R 10.1155/s0161171293000948
%X This paper is a study of the relatioship. between the asymptotic equivalence of two sequences (limnxn/yn=1) and three variatious of this equivalence for a sequence-to-sequence transformation A, the three variations are give by the ratios RmAx/RmAy. SmAx/SmAy, And     mAx/    mAy, where RmAz:= ¡é   ¡®n ¡é ¡ë £¤m|(Az)n|, SmAz:= ¡é   ¡®n ¡é ¡ë ¡èm|(Az)n|, and     mAz:=supn ¡é ¡ë £¤m|(Az)n|.
%K asymptotically regular
%K asymptotic equivalence
%K N rland-type matrix N¡¥p.
%U http://dx.doi.org/10.1155/S0161171293000948