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Approximation properties determined by operator ideals
Approximation properties determined operator ideals
2010/12/7
Given an operator ideal I, a Banach space E has the I-approximation property if operators on E can be uniformly approximated on com-pact subsets of E by operators belonging to I. In this paper the I-a...
Polynomial estimates, exponential curves and Diophantine approximation
Polynomial estimates exponential curves Diophantine approximation
2010/12/10
Let ∈ (0, 1) \ Q and K = {(ez, e z) : |z| ≤ 1} ⊂ C2. If P is a polynomial of degree n in C2, normalized by kPkK = 1, we obtain sharp estimates for kPk2 in terms of n, where 2 is the closed u...
On the relationship between parametric two-electron reduced-density-matrix methods and the coupled electron pair approximation
On the relationship between parametric two-electron reduced-density-matrix methods coupled electron pair approximation
2010/12/15
Parametric two-electron reduced-density-matrix (p-2RDM) methods have enjoyed much success
in recent years; the methods have been shown to exhibit accuracies greater than coupled cluster
with single ...
On the Approximation of Contractive Semigroups of Operators in Discretizable Hilbert Spaces
Contractive Semigroups Evolution Equations Discretizable Hilbert Space
2011/2/25
The Computation of discrete Contractive semigroups becomes necessary when we deal with several types of evolution equations in Discretiz-able Hilbert spaces, in this work we study some properties of t...
We study algorithms for clustering data that were recently proposed by Balcan, Blum and Gupta in SODA’09 [4] and that have already given rise to two follow-up papers. The input for the clustering prob...
Multiplying Pessimistic Estimators:Deterministic Approximation of Max TSP and Maximum Triangle Packing
derandomization approximation algorithms pessimistic estimators maximum traveling salesman problem
2012/12/3
We give a generalization of the method of pessimistic estimators, in which we compose estimators by multiplying them. We give conditions on the pessimistic estimators of two expectations, under which ...
Rate of Convergence and Tractability of the Radial Function Approximation Problem
Gaussian kernel reproducing kernel Hilbert spaces shape parameter
2011/1/21
This article studies the problem of approximating functions belonging to a Hilbert space Hd with an isotropic or anisotropic Gaussian reproducing kernel.
On Lp-Approximation by a Linear Combination of a New Sequence of Linear Positive Operators
Linear positive operators Linear combination Integral modulus of smoothness Steklov means
2010/3/1
In the present paper, we study some direct results in Lp -approximation by a linear combination of a new sequence of linear positive operators. The error in the approximation is estimated in terms of ...
Default Risk Modeling Beyond the First-Passage Approximation. I. Extended Black-Cox Model
Default Risk Modeling First-Passage Approximation Black-Cox Model
2010/4/27
We develop a generalization of the Black-Cox structural model of default risk. The extended model captures uncertainty related to firms ability to avoid default even if companys liabilities momentaril...
A New Approximation to the Normal Distribution Quantile Function
Normal Distribution Quantile Function primary benefit
2010/4/27
We present a new approximation to the normal distribution quantile function. It has a similar form to the approximation of Beasley and Springer [3], providing a maximum absolute error of less than $2....
On the degree of approximation of functions from Lipschitz classes
degree approximation functions Lipschitz classes
2010/9/10
On the degree of approximation of functions from Lipschitz classes.
Some modified extragradient approximation methods for variational inequality problems and equilibrium problems of nonexpansive mappings
Nonexpansive mappings Monotone L-Lipschitz continuous mapping
2010/9/13
In this paper, we introduce a modified extragradient approximation method for finding the common element of the set of fixed points of nonexpansive mapping, the set of solutions of an equilibrium prob...
Inequalities for convolution ratios under local approximation
Inequalities Convolution ratios Local limit theorems
2010/9/14
This paper studies preservation of the convolution property under locally approximating functions for sums of independent random variables. Upper and lower bounds for limits of convolution ratios are ...
An approximation for the activity duration distribution, supporting original PERT
PERT Beta distribution Project management
2010/9/17
The Program Evaluation and Review Technique (PERT) has been widely used as a tool for project management. In PERT analysis the activity time distribution is assumed to be a beta distribution, and the ...
R. Ganti and G. S. Srivastava, Approximation of Entire Functions over Jordan Domains
Entire function generalized order generalized type Faber polynomial approximation approximation error
2009/6/16
In the present paper, we study the polynomial approximation of entire functions over
Jordan domains by using Faber polynomials. The coefficient characterizations of generalized
order and generalized...