Optimal approximation and error bounds in spaces of bivariate functions

Error bounds in approximating n-time differentiable functions of self-adjoint operators in Hilbert spaces via a Taylor's type expansion

On utilizing the spectral representation of selfadjoint operators in Hilbert spaces, some error bounds in approximating $n$-time differentiable functions of selfadjoint operators in Hilbert Spaces via a Taylor's type expansion are given.

Bounds of the Expected Approximation Error in Optimal Inventory Policies

Bounds for the approximation error of optimal inventory policies are derived. The unknown distribution functions are approximated by normal distributions. The expectation of the errors are of order 00log(N) 1 2 ]:

Quick approximation of bivariate functions.

This paper presents two experiments where participants had to approximate function values at various generalization points of a square, using given function values at a small set of data points. A representative set of standard function approximation models was trained to exactly fit the function values at data points, and models' responses at generalization points were compared to those of hum...

Error bounds for bivariate piecewise hermite interpolation

Error Bounds for Vector-valued Functions on Metric Spaces

In this paper, we attempt to extend the definition and existing local error bound criteria to vector-valued functions, or more generally, to functions taking values in a normed linear space. Some new primal space derivative-like objects – slopes – are introduced and a classification scheme of error bound criteria is presented.