Suppose that f is continuous and of bounded variation on , Prove that SNf f pointwise on ( , ) and uniformly on any a, b ( , ) ...

Define gx fx for x 0 2 and g2 f0 Then g is periodic and of b ...

Suppose that f is continuous and of bounded variation on [-, ]. Prove that SNf f

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Suppose that f is continuous and of bounded variation on [-π, π]. Prove that SNf → f pointwise on (-π, π) and uniformly on any [a, b] ⊂ (-π, π).

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An Introduction to Analysis

ISBN: 978-0132296380

4th edition

Authors: William R. Wade

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Question Posted: Mar 29, 2016 04:30 AM

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Suppose that f is continuous and of bounded variation on [-, ]. Prove that SNf f

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An Introduction to Analysis

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