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Rate of approximation of functions of bounded variation by modified Lupas operators

Published online by Cambridge University Press:  17 April 2009

Wang Yuankwei
Affiliation:
Department of Mathematics, Hebei Teacher's University, Shijiazhuang Hebei province The People's, Republic of China
Guo Shunsheng
Affiliation:
Department of Mathematics, Hebei Teacher's University, Shijiazhuang Hebei province The People's, Republic of China
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Abstract

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This paper discusses the rate of approximation of functions of bounded variation using the Modified Lupas operator. We obtain an approximation theorem and our estimate is essentially the best possible.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1991

References

[1]Sahai, A. and Prasad, G., ‘On simultaneous approximation by modified Lupas operators’, J. Approx. Theory 45 (1985), 122128.CrossRefGoogle Scholar
[2]Bojanic, R., ‘An estimate of the rate of convergence for Fourier series of functions of bounded variation’, Publ. Inst. Math. Belgrade (N.S.) 26 (40) (1979), 5760.Google Scholar
[3]Chow, Y.S. and Teicher, H., Probability theory (Springer-Verlag, Heidelberg, Berlin, New York, 1978).CrossRefGoogle Scholar
[4]Cheng, F., ‘On the rate of convergence of Bernstein polynomials of functions of bounded variation’, J. Approx. Theory 39 (1983), 259274.CrossRefGoogle Scholar