THE DECAY OF THE WALSH COEFFICIENTS OF SMOOTH FUNCTIONS
2009 ◽
Vol 80
(3)
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pp. 430-453
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Keyword(s):
AbstractWe give upper bounds on the Walsh coefficients of functions for which the derivative of order at least one has bounded variation of fractional order. Further, we also consider the Walsh coefficients of functions in periodic and nonperiodic reproducing kernel Hilbert spaces. A lower bound which shows that our results are best possible is also shown.
2021 ◽
Vol 500
(1)
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pp. 125107
2002 ◽
Vol 35
(1)
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pp. 103-108
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2013 ◽
Vol 11
(05)
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pp. 1350020
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2014 ◽
Vol 9
(4)
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pp. 827-931
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2017 ◽
Vol 87
(2)
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pp. 225-244
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2006 ◽
Vol 52
(10)
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pp. 4635-4643
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2018 ◽
Vol 45
(2)
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pp. 869-896
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