Open AccessAsymptotic equivalence of sequences and summability
Author(s) -
Jinlu Li
Publication year - 1996
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/s0161171297001038
Subject(s) - algorithm , computer science
For a sequence-to-sequence transformation A, let RmAx=∑n≥m|(Ax)n| and μmAx=supn≥m|(Ax)n|. The purpose of this paper is to study the relationship between theasymptotic equivalence of two sequences (limnxn/yn=1) and the variations of asymptoticequivalence based on the ratios RmAx/RmAy and μmAx/μmAy
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