Journal of applied mathematics & informatics
- Volume 17 Issue 1_2_3
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- Pages.759-769
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- 2005
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- 2734-1194(pISSN)
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- 2234-8417(eISSN)
GIBBS PHENOMENON FOR WAVELETS IN HIGHER DIMENSION
- SHIM HONG TAE (Department of Mathematics, Sunmoon University) ;
- PARK CHIN HONG (Department of Mathematics, Sunmoon University)
- Published : 2005.01.01
Abstract
We first discuss jump discontinuity in higher dimension, and then prove a local convergence theorem for wavelet approximations in higher dimension. We also redefine the concept of Gibbs phenomenon in higher dimension and show that wavelet expansion exhibits Gibbs phenomenon.