Sentence examples for inverse approximation from inspiring English sources

We give the direct and inverse approximation theorems for a new type of Bernstein-Durrmeyer operators with the modulus of smoothness.

We consider the Kantorovich- and the Durrmeyer-type modifications of the generalized Favard operators and we prove an inverse approximation theorem for functions such that, where and,.

In the present note our main aim is to get the direct and inverse approximation theorem for this type of operators.

For diffusion maps we develop a new inverse map approximation.

Employing the inverse Langevin approximation, a model was proposed that attributes the increase of rubber-elastic extension to the increase of random links between tangled junctions of molecular chains in craze fibrils through disentanglement.

By analyzing the elastic stiffness of the ω-phase polycrystal on the basis of an inverse Voigt Reuss Hill approximation, the elastic stiffness components of the single-crystalline ω phase were determined.

By analyzing the elastic stiffness of DS polycrystals on the basis of a newly developed inverse Voigt Reuss Hill approximation, the elastic stiffness components of the single-crystalline LPSO phase were determined.

By analyzing the elastic stiffness of DS polycrystals on the basis of a newly developed inverse Voigt Reuss Hill approximation, in which the detailed crystallographic texture could be taken into account, the elastic stiffness components of the single-crystalline LPSO phases from 300 to 7.5 or 5.5 K were determined.

Using the inverse Gaussian approximation to the BS distribution, Park and Padgett (2006) developed various new cumulative damage models and degradation models.

Memoryless quasi-Newton methods are other techniques for solving (1), where at every step the inverse Hessian approximation is updated as an identity matrix.

In this paper, we propose an efficient three-term conjugate gradient method by utilizing the DFP update for the inverse Hessian approximation which satisfies both the sufficient descent and the conjugacy conditions.