Abstract
Given the values of a function and possibly the values of some of its derivatives, at certain points, a practical problem of numerical analysis is to use this information to construct other functions which approximate it. Simultaneous interpolation and approximation of continuous functions on a compact interval, by polynomials, has been extensively studied by Runge, Bernstein, Faber, Fejer, Turan and others. Here we study simultaneous interpolation and approximation of a function f on the whole real line by entire functions of exponential type. The function f is supposed to be uniformly continuous and bounded on (-∞,∞).
Being invited speaker, Professor Rahman presented this paper.
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Gervais, R., Rahman, Q.I., Schmeisser, G. (1979). Simultaneous Interpolation and Approximation. In: Sahney, B.N. (eds) Polynomial and Spline Approximation. NATO Advanced Study Institutes Series, vol 49. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-9443-0_14
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DOI: https://doi.org/10.1007/978-94-009-9443-0_14
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