Let f and f belong to R a, for all a Show that f L a, if and only if for every 0 there exists K() a such that if q p K() then qp f ...

If f La apply the preceding exercise ...

Let f and |f| belong to R*[a, ] for all > a. Show that f

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Let f and |f| belong to R*[a, γ] for all γ > a. Show that f ∈ L[a, ∞] if and only if for every ε > 0 there exists K(ε) > a such that if q > p > K(ε) then ∫qp |f| < δ.

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Introduction to Real Analysis

ISBN: 978-0471433316

4th edition

Authors: Robert G. Bartle, Donald R. Sherbert

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Question Posted: Apr 07, 2016 11:11 AM

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Let f and |f| belong to R*[a, ] for all > a. Show that f

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Introduction to Real Analysis

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