Let P = {x0, x1, x2, . . ., xn-1, xn} be a regular partition of the interval [a,b]. Show that if f is continuous and decreasing on [a, b] , then Uf(P) - Lf(P) = [f(a) - f(b)]x
Let P = {x0, x1, x2, . . ., xn-1, xn} be a regular partition of the interval [a,b]. Show that if f is continuous and decreasing on [a, b] , then Uf(P) - Lf(P) = [f(a) - f(b)]x
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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Let P = {x0, x1, x2, . . ., xn-1, xn} be a regular partition of the interval [a,b]. Show that if f is continuous and decreasing on [a, b] , then
Uf(P) - Lf(P) = [f(a) - f(b)]x
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