On Extremal Problems on a Set of Interpolation Polynomials in a Hilbert Space |
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| Authors: | V V Khlobystov |
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| Institution: | (1) Institute of Applied Mathematics, College of Sciences, and CAD/CG Division, College of Computer and Information, Hefei University of Technology, Hefei, 230009, PR China |
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| Abstract: | We give solutions of two extremal problems, a generalization of a result of W. Porter on an interpolation polynomial in L2(a,b) with minimal norm, which we get here in an abstract Hilbert space with a measure, and an analogue of a theorem of M. Golomb and H. Weinberger for a bounded set of operator interpolants. |
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