Abstract
Recently there has been considerable interest in various aspects, extensions, and variations of uniform product approximations (see [2,3,6,7] and the references of [3]), This paper concerns convergence and error bounds for polynomial product approximation and a variation similar to appolation considered in [6].
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References
Cheney, E.W., “Introduction to Approximation Theory,” McGraw-Hill, New York, 1966.
Henry, M.S. and Schmidt, D., Continuity theorems for the product approximation operator, in “Theory of Approximation with Applications” (A.G. Law and B.N. Sahney, Eds.), pp.24–42, Academic Press, New York, 1976.
Henry, M.S. and Schmidt, D., Error bounds for polynomial product approximation, J. Approx. Theory 31(1981), pp. 6–21.
Larsen, R., “Functional Analysis,” Marcel Dekker, Inc., New York, 1973.
Rivlin, T.J., “An Introduction to the Approximation of Functions,” Dover, New York, 1981.
Scherer, R. and Zeller, K., Gestufte Approximation in zwei Variablen, in “Numerical Methods of Approximation Theory” Vol. 5 (L. Collatz, et al, Eds.), pp. 282–288, Birkhäuser Verlag, Basel, 1980.
Weinstein, S.E., Approximation of functions of several variables: product Chebyshev approximations I, J. Approx. Theory (1969), pp. 433–447.
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© 1982 Birkhäuser Verlag Basel
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Angelos, J., Schmidt, D. (1982). Some Remarks on Product Approximations. In: Schempp, W., Zeller, K. (eds) Multivariate Approximation Theory II. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 61. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-7189-1_1
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DOI: https://doi.org/10.1007/978-3-0348-7189-1_1
Publisher Name: Birkhäuser Basel
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Online ISBN: 978-3-0348-7189-1
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