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If fi and fa are two bounded and integrable functions on [a, b] and there exists a number >0 such that fe(x) | A for all x in [a, b], then f1lf2 is bounded and integrable on [a, b].

If fi and fa are two bounded and integrable functions on [a, b] and there exists a number >0 such that fe(x) | A for all x in [a, b], then f1lf2 is bounded and integrable on [a, b].

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.1: Inner Product Spaces
Problem 12EQ
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If fi and fa are two bounded and integrable funct ions on [a, b] and there exists a number >0 such that fe(x) | A for all x in [a, b], then filf2 is bounded and integrable on [a, b].
Transcribed Image Text:If fi and fa are two bounded and integrable funct ions on [a, b] and there exists a number >0 such that fe(x) | A for all x in [a, b], then filf2 is bounded and integrable on [a, b].
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