Suppose that f and g are continuous functions on [a, b]. Show thatif f = g a.e. on [a, b], then, in fact, f = g on [a, b].In problem 1, is a similar assertion true if [a, b] is replaced by ageneral measurable set E?
Suppose that f and g are continuous functions on [a, b]. Show thatif f = g a.e. on [a, b], then, in fact, f = g on [a, b].In problem 1, is a similar assertion true if [a, b] is replaced by ageneral measurable set E?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Suppose that f and g are continuous functions on [a, b]. Show that
if f = g a.e. on [a, b], then, in fact, f = g on [a, b].
In problem 1, is a similar assertion true if [a, b] is replaced by a
general measurable set E?
if f = g a.e. on [a, b], then, in fact, f = g on [a, b].
In problem 1, is a similar assertion true if [a, b] is replaced by a
general measurable set E?
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