On Cesàro's Means of First Order of Wavelet Packet Series

Authors

  • Kumar Manoj Applied Sciences and Humanities Department, Institute of Engineering and Technology, Lucknow
  • Shyam Lal Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi

DOI:

https://doi.org/10.23755/rm.v41i0.687

Keywords:

Multiresolution analysis, (C, 1) summability, wavelet packets, periodic wavelet packets, wavelet packet expansions.

Abstract

A novel theory on (C; 1); Cesàro's summability of order 1 of wavelet
packet series is obtained in this study.

Author Biographies

  • Kumar Manoj, Applied Sciences and Humanities Department, Institute of Engineering and Technology, Lucknow
    Assistant Professor, Applied Sciences and Humanities Department, Institute of Engineering and Technology, Lucknow
  • Shyam Lal, Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi
    Professor and Head of Department, Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi

References

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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).

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Published

2021-12-31

Issue

Vol. 41 (2021)

Section

Volume 41-2021

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