III. Let f be continuous on [a, b] and differentiable almost everywhere on (a, b). Suppose there is a nonnegative function g that is integrable over [a, b] and Diff1/nf ≤g a.e on [a, b] for all n. [ƒ = f(b) – ƒ(a). Show that
III. Let f be continuous on [a, b] and differentiable almost everywhere on (a, b). Suppose there is a nonnegative function g that is integrable over [a, b] and Diff1/nf ≤g a.e on [a, b] for all n. [ƒ = f(b) – ƒ(a). Show that
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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