Criteria for the sequence of differences of a bounded sequence to be null

Authors

  • D. Borwein Western University, London Ontario

Keywords:

sequence, bounded, linear nonhomogeneous difference expression

Abstract

Conditions are established for the sequence of differences $\{a_n-a_{n-1}\}$ of a bounded sequence $\{a_n\}$ of complex terms to converge to zero when a certain linear nonhomogeneous difference expression of the form $k_0 a_n+k_1a_{n-1}+\cdots+k_na_0$ tends to zero as $n\to\infty.$ 10.1017/S000497271200072X

Author Biography

D. Borwein, Western University, London Ontario

Mathematics Emeritus Prof

Published

2013-07-23

Issue

Vol. 88 No. 1 (2013)

Section

Articles
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