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Cybernetics And Systems Analysis
International Theoretical Science Journal
UDC 519.65
P.S. Malachivskyy,1 Ya.N. Matviychuk,2 Ya.V. Pizyur,3 R.P. Malachivskyi4

UNIFORM APPROXIMATION OF FUNCTION OF TWO VARIABLES

Abstract. The algorithm for uniform approximation of function of two variables is described as approximation in norm Lp as p → ∞. It is based on mean square approximation with variable weight function. The technique of successive adjustment of weight function is proposed. The examples for uniform approximation of table-defined functions of two vaiables using mean square approximation with variable weight function are given.

Keywords: uniform approximation, function of two variables, approximation in the norm of space Lp, mean square approximation with changed weight function



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1 Center of Mathematical Modeling, Ya. S. Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, National Academy of Sciences of Ukraine, Lviv, Ukraine,
e-mail: Petro.Malachivskyy@gmail.com.

2 National University “Lvivska Politekhnika,” Lviv, Ukraine,
e-mail: matv@ua.fm.

3 National University “Lvivska Politekhnika,” Lviv, Ukraine,
e-mail: pizyur@yahoo.com.

4 National University “Lvivska Politekhnika,” Lviv, Ukraine,
e-mail: roman.malachivsky@gmail.com.

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