On error formulas for approximation by sums of univariate functions | Zendy

Vugar E. Ismailov | Zendy

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On error formulas for approximation by sums of univariate functions

Author(s) -

Vugar E. Ismailov

Publication year - 2006

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/ijmms/2006/65620

Subject(s) - univariate , mathematics , rectangle , bivariate analysis , maximization , mathematical analysis , multivariate statistics , geometry , mathematical optimization , statistics

The purpose of the paper is to develop a new method for obtaining explicit formulas for the error of approximation of bivariate functions by sums of univariate functions. It should be remarked that formulas of this type have been known only for functions defined on a rectangle with sides parallel to coordinate axes. Our method, based on a maximization process over closed bolts, allows the consideration of functions defined on a hexagon or octagon with sides parallel to coordinate axes

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