Posts by Octavian Agratini

Abstract


In this paper is introduced a general a class \(\left( L_{k}\right)_{k\in\mathbb{Z}}\) of linear positive operators of wavelet type. The construction is based on two sequences of real numbers which verify some certain conditions. We also study some properties of the above operators. The main result consists in establishing a Jackson inequality by using the first modulus of smoothness.

Authors

Octavian Agratini
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania

Keywords

cvasi-scaling type function; degree of approximation; linear operator; wavelet Franklin-Stromberg wavelet  

Paper coordinates

O. Agratini, On some wavelet type linear operators, Proceedings of the International Symposium on Numerical Analysis and Approximation Theory, Cluj-Napoca, May 9-11, 2002, pp. 46-53.

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google scholar link

[1] Anastassiou, G., Qusantitative Approximations, Chapamn ^ Hall/CRC, Boca Raton, London, 2001.
[2] Anastassiou, G. and Yu, X. M., Monotone and probabilistic wavelet approximation,  Stochastic Anal. Appl., 10 (1992), 251-264.
[3] Debanath, L., Wavelet  Transforms and Their Applicaitons, Birkhauser, Boston, Basel, 2002.

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