Riemann-Lebesgue Lemma
المؤلف:
Gradshteyn, I. S. and Ryzhik, I. M
المصدر:
Tables of Integrals, Series, and Products, 6th ed. San Diego, CA: Academic Press
الجزء والصفحة:
...
25-8-2018
2501
Riemann-Lebesgue Lemma
The Riemann-Lebesgue Lemma, sometimes also called Mercer's theorem, states that
 |
(1)
|
for arbitrarily large 
and "nice" 
. Gradshteyn and Ryzhik (2000) state the lemma as follows. If 
is integrable on ![[-pi,pi]](http://mathworld.wolfram.com/images/equations/Riemann-LebesgueLemma/Inline4.gif)
, then
 |
(2)
|
and
 |
(3)
|
REFERENCES:
Gradshteyn, I. S. and Ryzhik, I. M. Tables of Integrals, Series, and Products, 6th ed. San Diego, CA: Academic Press, p. 1101, 2000.
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