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Methods for computing the least deviation from the sums of functions of one variable

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Abstract

We propose a method effective (in the sense of practical application) for finding the least deviation of a function of two variables from the sums of functions of one variable in the special polygons with sides parallel to the coordinate axes.

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 47, No. 5, pp. 1076–1082, September–October, 2006.

Original Russian Text Copyright © 2006 Ismailov V. E.

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Ismailov, V.E. Methods for computing the least deviation from the sums of functions of one variable. Sib Math J 47, 883–888 (2006). https://doi.org/10.1007/s11202-006-0097-3

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Keywords

  • least deviation
  • best approximation
  • lightning bolt
  • maximal lightning bolt