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Volume 9, Issue 2, Article 44 |
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A Note on the Magnitude of Walsh Fourier Coefficients
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Authors: |
B. L. Ghodadra, J. R. Patadia, |
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Keywords:
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Functions of $p-$bounded variation, $phi-$bounded variation, $p-Lambda-$bounded variation and of $phi-Lambda-$bounded variation, Walsh Fourier coefficients, Integral modulus continuity of order $p$. |
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Date Received:
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11/03/08 |
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Date Accepted:
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07/05/08 |
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Subject Codes: |
42C10, 26D15.
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Editors: |
Laszlo Leindler, |
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Abstract: |
In this note, the order of magnitude of Walsh Fourier coefficients for functions of the classes  ,  ,   and  is studied. For the classes  and  Taibleson-like technique for Walsh Fourier coefficients is developed. However, for the classes and this technique seems to be not working and hence classical technique is applied. In the case of  it is also shown that the result is best possible in a certain sense.
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