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functions such that f→fa.e. on a measurable set E of finite measure, then given >0 there is a subset WCE with m(W)

functions such that f→fa.e. on a measurable set E of finite measure, then given >0 there is a subset WCE with m(W)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(D.F. Egorov). If {f} is a sequence of measurable functions such that f→fa.e. on a measurable set E of finite measure, then given n> 0 there is a subset W CE with m(W) < n such that {f} converges to f uniformly on E~ W.
Transcribed Image Text:(D.F. Egorov). If {f} is a sequence of measurable functions such that f→fa.e. on a measurable set E of finite measure, then given n> 0 there is a subset W CE with m(W) < n such that {f} converges to f uniformly on E~ W.
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