Question/ Give an example on Banach density in mathematical analysis, both of the upper and lower Banach density by the formulas: G(k + 1, k + n) G(k + 1,k + n) BD(G) = limsup аnd BD(G) = lim inf n n→0 keN n n→∞ kƐN

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question/ Give an example on Banach density in mathematical analysis, both of the upper and lower
Banach density by the formulas:
G(k + 1, k + n)
G (k + 1, k + n)
BD(G) =
lim sup
n→0 kEN
BD(G) =
and
lim inf
n→0 kEN
%3D
n
n
Transcribed Image Text:Question/ Give an example on Banach density in mathematical analysis, both of the upper and lower Banach density by the formulas: G(k + 1, k + n) G (k + 1, k + n) BD(G) = lim sup n→0 kEN BD(G) = and lim inf n→0 kEN %3D n n
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