Let S be a closed n-cube with v(S) > 0. Suppose g, h : S → R are two bounded #3 and integrable functions on S with g(x) < h(x) for all x E S. Prove that h.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.1: Inner Product Spaces
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Let S be a closed n-cube with v(S) > 0. Suppose g, h : S → R are two bounded
#3
and integrable functions on S with g(x) <h(x) for all x E S. Prove that
h.
Transcribed Image Text:Let S be a closed n-cube with v(S) > 0. Suppose g, h : S → R are two bounded #3 and integrable functions on S with g(x) <h(x) for all x E S. Prove that h.
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