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Some direct and inverse theorems in approximation of functions

Part of: Approximations and expansions

Published online by Cambridge University Press:  09 April 2009

R. N. Mohapatra  and
D. C. Russell
R. N. Mohapatra
Affiliation:
Department of MathematicsAmerican University of Beirut BeirutLebanon
D. C. Russell
Affiliation:
Department of MathematicsYork University Downsview, Ontario M3J 1P3, Canada
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Abstract

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The paper is concerned with the determination of the degree of convergence of a sequence of linear operators connected with the Fourier series of a function of class Lp (p > 1) to that function and some inverse results in relating the convergence to the classes of functions. In certain cases one can obtain the saturation results too. In all cases Lp norm is used.

MSC classification

Secondary: 41A40: Saturation
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 34 , Issue 2 , April 1983 , pp. 143 - 154
Copyright
Copyright © Australian Mathematical Society 1983

References

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