On the bivariate hermite interpolation problem

1995 ◽  
Vol 11 (1) ◽  
pp. 23-35 ◽  
Author(s):  
H. V. Gevorgian ◽  
H. A. Hakopian ◽  
A. A. Sahakian
Keyword(s):  
Interpolation Problem ◽  
Hermite Interpolation ◽  
Bivariate Hermite Interpolation

scholarly journals Spaces of polynomial and nonpolynomial spline-wavelets

2019 ◽  
Vol 292 ◽  
pp. 04001
Author(s):  
Yu. K. Dem’yanovich ◽  
I. G. Burova ◽  
T. O. Evdokimovas ◽  
A. V. Lebedeva
Keyword(s):  
Interpolation Problem ◽  
Wavelet Decomposition ◽  
Hermite Interpolation ◽  
Uniform Grid ◽  
First Order ◽  
Spline Wavelets ◽  
Almost Everywhere

This paper, discusses spaces of polynomial and nonpolynomial splines suitable for solving the Hermite interpolation problem (with first-order derivatives) and for constructing a wavelet decomposition. Such splines we call Hermitian type splines of the first level. The basis of these splines is obtained from the approximation relations under the condition connected with the minimum of multiplicity of covering every point of (α, β) (almost everywhere) with the support of the basis splines. Thus these splines belong to the class of minimal splines. Here we consider the processing of flows that include a stream of values of the derivative of an approximated function which is very important for good approximation. Also we construct a splash decomposition of the Hermitian type splines on a non-uniform grid.

scholarly journals The set of unattainable points for the Rational Hermite Interpolation Problem

2018 ◽  
Vol 538 ◽  
pp. 116-142
Author(s):  
Teresa Cortadellas Benítez ◽  
Carlos D'Andrea ◽  
Eulàlia Montoro
Keyword(s):  
Interpolation Problem ◽  
Hermite Interpolation

Uniform bivariate Hermite interpolation

1990 ◽  
Vol 203 (1) ◽  
pp. 193-209 ◽  
Author(s):  
Rudolph Alexander Lorentz
Keyword(s):  
Hermite Interpolation ◽  
Bivariate Hermite Interpolation

scholarly journals Bivariate Hermite Interpolation and Numerical Curves

1996 ◽  
Vol 85 (3) ◽  
pp. 297-317 ◽  
Author(s):  
Hovik V Gevorgian ◽  
Hakop A Hakopian ◽  
Artur A Sahakian
Keyword(s):  
Hermite Interpolation ◽  
Bivariate Hermite Interpolation
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