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
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.