On Cesàro's Means of First Order of Wavelet Packet Series
Abstract
A novel theory on (C; 1); Cesàro's summability of order 1 of wavelet
packet series is obtained in this study.
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K. Ahmad and R. Kumar, Pointwise convergence of wavelet packet series, Atti Sem. Fis. Univ. Modena, 48 (2000), 107-120.
C. K. Chui, An introduction to wavelets (Wavelet analysis and its
applications), Vol. 1, Academic Press, USA, (1992).
S. E. Kelly, M. A. Kon and L. A. Raphael, Pointwise convergence of
wavelet expansions, Bull. Amer. Math. Soc., 30 (1994), 87-94.
S. E. Kelly, M. A. Kon and L. A. Raphael, Local convergence for wavelet expansions, J. Funct. Anal., 126 (1994), 102-138.
S. Lal and M. Kumar, On Generalized Carleson Operators of Periodic Wavelet Packet Expansions, The Scientific world Journal, Hindawi Publication, 2013, DOI https://doi.org/10.1155/2013/379861
Y. Meyer, Wavelets and Operators, Cambridge University Press, Cambridge, 1992.
G. G. Walter, Approximation of delta function by wavelets, J. Approx. Theory, 71 (1992), 329-343.
G. G. Walter, Pointwise convergence for wavelet expansions, J. Approx. Theory, 80 (1995), 108-118.
M. V. Wickerhauser, AdaptedWavelet Analysis from Theory to Software, A.K. Peters, Ltd., Wellesley, 1994.
E. C. Titchmarsh, The Theory of functions, Second Edition, Oxford University Press, (1939).
DOI: http://dx.doi.org/10.23755/rm.v41i0.687
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