On obtaining close estimates in the approximation of functions of many variables by sums of functions of a fewer number of variables |
| |
Authors: | M B A Babaev |
| |
Institution: | (1) Institute of Mathematics and Mechanics, Academy of Sciences of the Azerbaidzhan SSR, USSR |
| |
Abstract: | We present a simple method for finding the values of the best approximation of a function of n variables of a given class by means of sums of two functions of a fewer number of variables; we establish close upper and lower bounds for the value of the best approximation to the functionf(x1, ..., xn), having the mixed derivativef x1 ... xn, by means of sums of a function of n–1 variables.Translated from Matematicheskie Zametki, Vol. 12, No. 1, pp. 105–114, July, 1972. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|