Padé and Hermite-Padé approximation and orthogonality.
Padé approximations to certain power series.
Padé-Type Approximants of Exp (-z) Whose Denominators Are (1+z/n)n.
Pál-type interpolation and quadrature formulae on Laguerre abscissas.
Parameter Tuning and Repeated Application of the IMT-type Transformation in Numerical Quadrature.
Penalized Least Squares Fitting
* Supported by the Army Research Office under grant DAAD-19-02-10059.Bounds on the error of certain penalized least squares data fitting methods are derived. In addition to general results in a fairly abstract setting, more detailed results are included for several particularly interesting special cases, including splines in both one and several variables.
Permanence de relations de récurrence dans certains développements asymptotiques. (Permanence of recurrence relations in certain asymptotic expansions).
Perturbations of an Ostrowski type inequality and applications.
Perturbations of Best Approximation Problems.
Piecewise approximation and neural networks
The paper deals with the recently proposed autotracking piecewise cubic approximation (APCA) based on the discrete projective transformation, and neural networks (NN). The suggested new approach facilitates the analysis of data with complex dependence and relatively small errors. We introduce a new representation of polynomials that can provide different local approximation models. We demonstrate how APCA can be applied to especially noisy data thanks to NN and local estimations. On the other hand,...
Piecewise atone interpolation of monotone operators
Piecewise L-Splines.
Piecewise Polynomial Spaces and Geometric Continuity of Curves.
Point derivations and prime ideals in R(X)
Points minimaux dans les espaces de Banach
Points minimaux dans les espaces de Banach (suite)
Pointwise approximation by Meyer-König and Zeller operators
We study the rate of pointwise convergence of Meyer-König and Zeller operators for bounded functions, and get an asymptotically optimal estimate.
Pointwise convergence for expansions in surface harmonics of arbitrary dimension.
Pointwise estimates for modified positive linear operators
Pointwise inequalities and approximation in fractional Sobolev spaces
We prove that a function belonging to a fractional Sobolev space may be approximated in capacity and norm by smooth functions belonging to , 0 < m + λ < α. Our results generalize and extend those of [12], [4], [14], and [11].