This article is cited in 2 papers

A lower bound for the error of a formula for approximate summation in the class $E_{s,p}(C)$

I. F. Sharygin

Moscow Institute of Control

Abstract: The error of a formula for approximate summation in the class $E_{s,p}(C)$ over an arbitrary mesh containing p base-points is shown to be not less than $C_1\ln^sp/p$. This estimate has the same order as the error of the optimal parallelepiped mesh in this class.

UDC: 517.3

Received: 18.02.1976

 English version: Mathematical Notes, 1977, 21:3, 207–210

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