There exists a 'generalized approximation to the identity' { A t, t > 0 } such that the kernels k t i j ( x, y ) of the operators ( T i, j − A t T i, j ) satisfy | k t i j | ≤ C 4 t α / m | x − y | n + α t α / m d ( x, y ) α, (3.1).
In particular, we find that there always exists an optimal Gaussian approximation (defined via the curvatures).
In this paper, we show that (a) the Steiner ratio is 14, that is, the minimum spanning tree yields a polynomial-time approximation with performance ratio exactly 4, (b) there exists a polynomial-time approximation with performance ratio 3, and (c) there exists a polynomial-time approximation scheme under certain conditions.
Since V is a Čebyšëv subspace, there exists a unique best approximation (c_{V} (e)in V) of e in V satisfying (operatorname {dist} e,V =Vert e- c_{V} (e Vert >0).
For unweighted graphs, there exist a few approximation algorithms for solving packing problems, for example, distributed H-packing algorithms for unit-disk graphs by Czygrinow and Hańćkowiak [10] and planar graphs by Czygrinow et al. [11].
For a quick characterisation of the fluctuations in a biochemical system there exists an alternative, namely the linear noise approximation (LNA; see, e.g., [ 9- 11]).
It is a natural question whether there exists a similar continued fraction approximation formula for (frac{Gamma^{3}(x+frac{1}{3})}{Gamma^{3}(x+1)}) or (frac{Gamma^{3}(x+frac{2}{3})}{Gamma^{3}(x+1)}).
If for every x ∈ X ∖ M ̄ Open image in new window there exists a unique n-best approximation in M,then M is called an n-Chebyshev subspace of X.
The multivalued operator is defined by the formula there exists a sequence of successive approximations of starting from that converges to.
