Assume that, for each n, fn is an integrable function on [a, b]. If (fn) → f uniformly on [a, b], prove that f is also integrable on this set. (We will see that this conclusion does not necessarily follow if the convergence is pointwise.)

Assume that, for each n, fn is an integrable function on [a, b]. If (fn) → f uniformly on [a, b], prove that f is also integrable on this set. (We will see that this conclusion does not necessarily follow if the convergence is pointwise.)

Name: Assume that, for each n, fn is an integrable function on [a, b]. If (f
Uploaded: 2024-03-20T06:38:58.000Z
Channel: Bartleby
Description: Assume that, for each n, fn is an integrable function on [a, b]. If (fn) → f uniformly on [a, b], prove that f is also integrable on this set. (We will see that this conclusion does not necessarily follow if the convergence is pointwise.)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.1: Infinite Sequences And Summation Notation

Problem 72E

See similar textbooks