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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
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
- Information
- Bulletin of the Australian Mathematical Society , Volume 44 , Issue 2 , October 1991 , pp. 177 - 188
- 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), 122–128.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), 57–60.Google Scholar
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[4]Cheng, F., ‘On the rate of convergence of Bernstein polynomials of functions of bounded variation’, J. Approx. Theory 39 (1983), 259–274.CrossRefGoogle Scholar
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