Construction of Baskakov-type operators by wavelets

Authors

  • O. Agratini "Babeş Bolyai" University, Cluj-Napoca, Romania
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Abstract

The purpose of this paper is to introduce a class of Baskakov-type operators by means of Daubechies’ compactly-supported wavelets. The new operators have the same moments as Baskakov operators in an arbitrarily chosen number. The rate of convergence of these operators is in connection with Lipschitz functions with respect to the second-order modulus of smoothness.

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References

Yu. A. Brudnyĭ and N. Ya, Krugljak, Interpolation Functors and Interpolation Spaces,Vol. I, North-Holland Mathematical Library, 1991.

Ch. K. Chui, An Introduction to Wavelets, Academic Press, Boston, 1992.

Z. Ditzian and V. Totik, Moduli of Smoothness, Springer Series in Computational Mathamatics, Vol. 9, Springer Verlag, Berlin-Heidelborg-Now York, 1987.

H. H. Gonska and D.-X. Zhou, (Using wavelets for Szász-type operators, Rev. Anal. Numér. Théorie Approximation 24, 1-2 (1995), pp.131-145.

Y. Meyer, Wavelets and Operators, Cambridge University Press, 1992.

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Published

1997-08-01

How to Cite

Agratini, O. (1997). Construction of Baskakov-type operators by wavelets. Rev. Anal. Numér. Théor. Approx., 26(1), 3–11. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1997-vol26-nos1-2-art1

Issue

Vol 26, Nos 1-2 (1997)

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Articles

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Copyright (c) 2015 Journal of Numerical Analysis and Approximation Theory

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