Toeplitz methods which sum a given sequence
نویسندگان
چکیده
منابع مشابه
Linear Methods Which Sum Sequences of Bounded Variation
A complex sequence {zp} is said to be of bounded variation provided 2|zp —zP+i\ < oo. In this paper we show that a matrix which sums every sequence of bounded variation also sums a convergent sequence not of bounded variation (Theorem 1). Indeed, if M is a countable set of matrices, each of which sums every sequence of bounded variation, then there is a convergent sequence not of bounded variat...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1946
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1946-08593-6