Results 11 to 20 of about 89,813 (307)

Lebesgue functions and Lebesgue constants in polynomial interpolation [PDF]

Journal of Inequalities and Applications, 2016
The Lebesgue constant is a valuable numerical instrument for linear interpolation because it provides a measure of how close the interpolant of a function is to the best polynomial approximant of the function.
Bayram Ali Ibrahimoglu
doaj   +3 more sources

On the interpolation in linear normed spaces using multiple nodes [PDF]

Journal of Numerical Analysis and Approximation Theory, 2015
In the papers [2], [3], [4], [6], [7] we indicated a method of extending the notion of interpolation polynomial for the case of a non-linear mapping \(f : X \to Y\) where \(X\) and \(Y\) are linear spaces with special structures.
Adrian Diaconu
doaj   +4 more sources

Interpolation methods for spatial distribution of groundwater mapping electrical conductivity [PDF]

Scientific Reports
This study was carried out to develop a conceptual framework for determining the best interpolation method which mainly is employed to calculate the variability maps of electrical conductivity (EC) in neighboring regions.
Saeed Salehi, Reza Barati, Mozareza Baghani, Saeed Sakhdari, Mohsen Maghrebi   +4 more
doaj   +2 more sources

Elucidating tricuspid Doppler signal interpolation and its implication for assessing pulmonary hypertension

Pulmonary Circulation, 2022
Doppler echocardiography plays a central role in the assessment of pulmonary hypertension (PAH). We aim to improve quality assessment of systolic pulmonary arterial pressure (SPAP) by applying a cubic polynomial interpolation to digitized tricuspid ...
Seraina A. Dual, Constance Verdonk, Myriam Amsallem, Jonathan Pham, Courtney Obasohan, Patrick Nataf, Doff B. McElhinney, Alisa Arunamata, Tatiana Kuznetsova, Roham Zamanian, Jeffrey A. Feinstein, Alison Marsden, François Haddad   +12 more
doaj   +1 more source

Polynomial interpolation via mapped bases without resampling

Journal of Computational and Applied Mathematics, 2020
In this work we propose a new method for univariate polynomial interpolation based on what we call mapped bases. As theoretically shown, constructing the interpolating function via the mapped bases, i.e. in the mapped space, turns out to be equivalent to
S. Marchi, F. Marchetti, E. Perracchione, D. Poggiali   +3 more
semanticscholar   +1 more source

A kind of bivariate Bernoulli-type multiquadric quasi-interpolation operator with higher approximation order

Journal of Inequalities and Applications, 2023
In this paper, a kind of bivariate Bernoulli-type multiquadric quasi-interpolation operator is studied by combining the known multiquadric quasi-interpolation operator with the generalized Taylor polynomial as the expansion in the bivariate Bernoulli ...
Ruifeng Wu
doaj   +1 more source

Imposing periodic boundary condition on arbitrary meshes by polynomial interpolation

Computational Materials Science, 2012
Ludovic Noels
exaly   +2 more sources

Improved error bound for multivariate Chebyshev polynomial interpolation [PDF]

International Journal of Computational Mathematics, 2016
Chebyshev interpolation is a highly effective, intensively studied method and enjoys excellent numerical properties which provides tremendous application potential in mathematical finance.
K. Glau, M. Mahlstedt
semanticscholar   +1 more source

Range Analysis of Binaries with Minimal Effort [PDF]

, 1992
COTS components are ubiquitous in military, industrial and governmental systems. However, the bene?fits of reduced development and maintainance costs are compromised by security concerns.
Barrett, Edd, King, Andy
core   +1 more source

A note on cubic polynomial interpolation [PDF]

, 2008
“The NURBS Book” [L. Piegl, W. Tiller, The NURBS Book, second edn, Springer, 1997] is very popular in the fields of computer aided geometric design (CAGD) and geometric modeling.
Shi, Xiquan, Liu, Fengshan, Hu, Minghan, Wang, Tianjun   +3 more
core   +1 more source