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F. If fe R[a, b], prove the triangle inequality for integrals: · |[ * f(2) de| ≤ [*\ƒ(2)| dz. (Hint: Recall that f = f* -f- and f = f+ + f¯ where f+ and f- are both nonnegative Riemann integrable functions.) I'm D. 17 D

F. If fe R[a, b], prove the triangle inequality for integrals: · |[ * f(2) de| ≤ [*\ƒ(2)| dz. (Hint: Recall that f = f* -f- and f = f+ + f¯ where f+ and f- are both nonnegative Riemann integrable functions.) I'm D. 17 D

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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Test 3- F. If fe R[a, b], prove the triangle inequality for integrals: Recall that f = f* -f- and |f|= f+ + f where ft+ and f- are both nonnegative Riemann integrable functions.) a N₁st for all n`N. we have I5n = 4116 ["*1(a) dz| ≤ 11(2) = f*|f(x)| dx. (Hint: f(x) dx A. Det of um for
Transcribed Image Text:Test 3- F. If fe R[a, b], prove the triangle inequality for integrals: Recall that f = f* -f- and |f|= f+ + f where ft+ and f- are both nonnegative Riemann integrable functions.) a N₁st for all n`N. we have I5n = 4116 ["*1(a) dz| ≤ 11(2) = f*|f(x)| dx. (Hint: f(x) dx A. Det of um for
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