Let f and g be bounded functions on I := (a, b). If f(x) < g(x) for

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Let f and g be bounded functions on I := (a, b). If f(x) < g(x) for all x ∈ I, show that L(f) < L(g) and U(f) < U(g).
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Introduction to Real Analysis

ISBN: 978-0471433316

4th edition

Authors: Robert G. Bartle, Donald R. Sherbert

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