Abstract
We prove a duality theorem for linearized rational approximation similar to the theorem for rational approximation proved by G. Gierz and the author earlier.
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References
R.E. Edwards, Fourier Series, A Modern Introduction, vol. 2, Springer-Verlag, 1982.
G. Gierz and B. Shekhtman, On Duality in Rational Approximation, Rocky Mountain Journal 19 (1988), pp. 137–143.
G. Gierz and B. Shekhtman, Duality Principle for Rational Approximation, Pacific Journal of Math 125 (1986), pp. 79–90.
G. Gierz and B. Shekhtman, On Approximation by Rationals from a Hyperplane, Proc. AMS 96 (1986), pp. 452–454.
S. Kwapien and A. Pelczynski, Absolutely Summing Operators and Translation Invariant Subspaces on Compact Abelian Groups, Math. Nachr. 94 (1980), pp. 303–340.
D.J. Newman, Approximation with Rational Functions, CBMS, Regional Conf. Ser. no. 41 (1979), Providence R.I.
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© 1993 The Euler International Mathematical Institute
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Shekhtman, B. (1993). Duality principle in linearized rational approximation. In: Gonchar, A.A., Saff, E.B. (eds) Methods of Approximation Theory in Complex Analysis and Mathematical Physics. Lecture Notes in Mathematics, vol 1550. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0117485
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DOI: https://doi.org/10.1007/BFb0117485
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