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Let f be a C1 function on [-7, 7]. Prove that the Fourier coefficients of f satisfy | an |< K | bn |S n = 1, 2, -.., n n for some constants K and L.

Let f be a C1 function on [-7, 7]. Prove that the Fourier coefficients of f satisfy | an |< K | bn |S n = 1, 2, -.., n n for some constants K and L.

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. Let f be a C1 function on [-7, 7|. Prove that the Fourier coefficients of f satisfy | an |< K | b, |S n = 1, 2, .., n n for some constants K and L.
Transcribed Image Text:4. Let f be a C1 function on [-7, 7|. Prove that the Fourier coefficients of f satisfy | an |< K | b, |S n = 1, 2, .., n n for some constants K and L.
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