Sentence examples for bounds of the approximation from inspiring English sources

However, the theoretical bounds of the approximation techniques are still unknown.

According to Lemmas 1-2, the upper bounds of the approximation intervals of the functions sinx and cosx are (varepsilon _{1}= sqrt{(n_{1}+3)(n_{1}+4)}) and (varepsilon _{2}=sqrt{(n_{2}+3)(n_{2}+4)}), respectively.

Subsequently, we derive worst-case bounds on the approximation of the optimum social welfare achieved in (strong) equilibrium by the mechanism.

Bounds on the approximation error of the SDR techniques have been developed in [36], which was motivated by the work in [34].

We derive lower bounds on the approximation errors in terms of the number of Boolean function evaluations.

An upper bound of the approximation error is derived in the sense of the supremum norm.

We provide suitable error bounds for the approximation of bandlimited functions by linear combinations of certain special functions the prolate spheroidal wave functions of order 0. The coefficients in the approximating linear combinations are given explicitly via appropriate quadrature formulae.

In the third section, we use the operator method from [4] to establish the bounds for the approximation of Poisson-binomial distribution by Poisson distribution.

Iyengar proved a useful inequality which gives an upper bound for the approximation of the integral average by the mean of the values of mapping at end points of the interval that is given below (see [7] or [11, p.471]).

We derive Chen Stein error bounds for the approximation.

This inequality gives an upper bound for the approximation of the integral average 1 b − a ∫ a b f ( t ) d t by the value f at a point x ∈ ( a, b ).