Uniform Approximation of Functions of Two Variables

被引：6

作者：

Malachivskyy P.S. ^{[1
]}

Matviychuk Y.N. ^{[2
]}

Pizyur Y.V. ^{[2
]}

Malachivskyi R.P. ^{[2
]}

机构：

[1] Center of Mathematical Modeling, Ya. S. Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, National Academy of Sciences of Ukraine, Lviv

[2] National University “Lvivska Politekhnika,”, Lviv

来源：

Cybernetics and Systems Analysis | 2017年 / 53卷 / 3期

关键词：

approximation in the norm of space L[!sup]p[!/sup; function of two variables; least squares method with variable weight function; uniform approximation;

D O I：

10.1007/s10559-017-9943-5

中图分类号：

学科分类号：

摘要：

We propose an algorithm to construct a uniform approximation of functions of two variables as a boundary approximation in norm Lp as p → ∞. It is based on root mean square approximation with variable weight function. We propose a technique of successive adjustment of weight function and give examples of uniform approximation of tabulated functions of two variables with the use of the least squares method with variable weight function. © 2017, Springer Science+Business Media New York.

引用

页码：426 / 431

页数：5

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