Complexity of Weighted Approximation over Rd

Worst Case Complexity of Weighted Approximation and Integration over Rd

We study the worst case complexity of weighted approximation and integration for functions deened over R d. We assume that the functions have all partial derivatives of order up to r uniformly bounded in a weighted L p-norm for a given weight function. The integration and the error for approximation are deened in a weighted sense for another given weight %. We present a necessary and suucient c...

Complexity of Weighted Approximation over

We study approximation of univariate functions deened over the reals. We assume that the rth derivative of a function is bounded in a weighted L p norm with a weight. Approximation algorithms use the values of a function and its derivatives up to order r ? 1. The worst case error of an algorithm is deened in a weighted L q norm with a weight. We study the worst case (information) complexity of ...

Theoretical Study of Polyethylene Crystallization Using Modified Weighted Density Approximation (MWDA)

      In this article, the crystallization of polyethylene is investigated by the modified weighted density approximation. Also, a direct correlation function of polyethylene based on the RISM theory is used. The free energy of a polyethylene is calculated using the density functional theory. The crystallization and also the solid and liquid densities of polyethylene are calculated and compared...

Average Case Complexity of Weighted Approximation and Integration over R+

On the approximation by Chlodowsky type generalization of (p,q)-Bernstein operators

In the present article, we introduce Chlodowsky variant of $(p,q)$-Bernstein operators and compute the moments for these operators which are used in proving our main results. Further, we study some approximation properties of these new operators, which include the rate of convergence using usual modulus of continuity and also the rate of convergence when the function $f$ belongs to the class Li...