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Pa(f,9) = [" | 5(t) – g(t) | dt %3D

Pa(f,9) = [" | 5(t) – g(t) | dt %3D

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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.. Consider the set C[a, b] of all continuous complex valued functions defined on an interval [a, b]. This is a subset of B[a, b] discussed and clearly forms a metric space with the metric p discussed pre iously. On the other hand, for every f, g E Ca, b), write Pi(S, 9) = [ | S(t) – g(t) | dt Then this metric forms a metric space on C[a, b].
Transcribed Image Text:.. Consider the set C[a, b] of all continuous complex valued functions defined on an interval [a, b]. This is a subset of B[a, b] discussed and clearly forms a metric space with the metric p discussed pre iously. On the other hand, for every f, g E Ca, b), write Pi(S, 9) = [ | S(t) – g(t) | dt Then this metric forms a metric space on C[a, b].
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