Abstract
While the convergence of the classical Fourier series has been well known, the rate of its convergence is not well acknowledged. The results regarding the rate of convergence of the Fourier series and wavelet expansions can be found in the book of Walter[5]. In this paper, we give the rate of convergence of hybrid sampling series associated with orthogonal wavelets.
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References
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This paper was supported by the Sunmoon University Research Fund of year 2002
Hong-Tae Shim received Ph. D from the University of Wisconsin-Milwaukee under the supervision of Professor Gilbert G. Walter. His research interests center on wavelet theories, Sampling theories and Gibbs' phenomenon for series of special functions.
Joong Sung Kwon received his Ph. D from the University of Washington under the supervision of Professor Ronald Pyke. His research interests focus on the limit theory of Probability including those of fuzzy random variables.
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Shim, HT., Kwon, J. Convergence rate of hybrid sampling series associated with wavelets. JAMC 14, 267–275 (2004). https://doi.org/10.1007/BF02936113
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DOI: https://doi.org/10.1007/BF02936113