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1. If f is an increasing function on (a, b) and P= (ro) is any partition of [a, b], prove that sup f(x)- inf (x)) Az, s (b)-S()) ||P| -

1. If f is an increasing function on (a, b) and P= (ro) is any partition of [a, b], prove that sup f(x)- inf (x)) Az, s (b)-S()) ||P| -

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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4. If f is an increasing function on (a, b) and P = (20,1n) is any partition of [a, b], prove that sup f(x)- inf f(x)) Az, s (f(b)-S(a)) ||P|| - IM-
Transcribed Image Text:4. If f is an increasing function on (a, b) and P = (20,1n) is any partition of [a, b], prove that sup f(x)- inf f(x)) Az, s (f(b)-S(a)) ||P|| - IM-
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