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Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series

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RATIONAL QUASI-INTERPOLATION HERMITE FEJER

Abstract

In this paper we studied the question of constructing rational interpolation operators of Hermite Fejer. Uniform convergence of considered interpolation process for function on condition of completeness of system of rational functions is thus proved. Also, we proved uniform convergence for considered interpolation process for functions ƒ (x) є C[-1,1] of complete system of rational functions The rational interpolating functions construction with nodes in the zeros of Chebyshev Markov polynomials of the second kinds.

About the Authors

Y. A. Rovba
Yanka Kupala State University of Grodno
Belarus


Y. V. Dirvuk
Yanka Kupala State University of Grodno
Belarus


References

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ISSN 1561-2430 (Print)
ISSN 2524-2415 (Online)