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JOURNALS // Proceedings of the Institute of Mathematics of the NAS of Belarus // Archive

Tr. Inst. Mat., 2007 Volume 15, Number 2, Pages 111–119 (Mi timb103)

Approximation of functions from stochastic matrixes by interpolation polynomials

L. A. Yanovich

Institute of Mathematics of the National Academy of Sciences of Belarus

Abstract: Integral representations interpolation matrix polynomials and their residual members in a class of analytical functions when as nodes interpolation undertake Jordan cells and three-diagonal matrixes of a special kind are received. Sufficient conditions of convergence of interpolation on set of stochastic matrixes are given. Formulas of interpolation low orders when nodes are stochastic matrixes are resulted.

UDC: 519.65

Received: 07.11.2006



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