scholarly journals The moments, and the L2-norm of the derivatives of the Hermite functions

1965 ◽  
Vol 12 (3) ◽  
pp. 602-605
Author(s):  
Magnus Giertz
Keyword(s):  
Hermite Functions ◽  
L2 Norm ◽  
Derivatives Of

scholarly journals MULTIVARIATE INTERPOLATION USING POLYHARMONIC SPLINES

2021 ◽  
Vol 61 (SI) ◽  
pp. 148-154
Author(s):  
Karel Segeth
Keyword(s):  
Arbitrary Dimension ◽  
Basis Functions ◽  
Computational Mathematics ◽  
L2 Norm ◽  
Long Time ◽  
Polyharmonic Spline ◽  
Polyharmonic Splines ◽  
2D And 3D ◽  
Derivatives Of ◽  
Spline Interpolant

Data measuring and further processing is the fundamental activity in all branches of science and technology. Data interpolation has been an important part of computational mathematics for a long time. In the paper, we are concerned with the interpolation by polyharmonic splines in an arbitrary dimension. We show the connection of this interpolation with the interpolation by radial basis functions and the smooth interpolation by generating functions, which provide means for minimizing the L2 norm of chosen derivatives of the interpolant. This can be useful in 2D and 3D, e.g., in the construction of geographic information systems or computer aided geometric design. We prove the properties of the piecewise polyharmonic spline interpolant and present a simple 1D example to illustratethem.

Physical Properties of TCNQ Salts with N-Methyl Derivatives of Pyridine

1982 ◽  
Vol 85 (1) ◽  
pp. 257-263 ◽  
Author(s):  
A. Graja ◽  
M. Przybylski ◽  
B. Butka ◽  
R. Swietlik
Keyword(s):  
Physical Properties ◽  
Methyl Derivatives ◽  
Derivatives Of

Diorganyl Derivatives of Tellurium(IV) (σ-Telluranes of R 2 TeX 2 Type)

2002 ◽  
Vol 23 (2) ◽  
pp. 125-207 ◽  
Author(s):  
Igor D. Sadekov ◽  
Alexander V. Zakharov ◽  
Alexander A. Maksimenko
Keyword(s):  
Derivatives Of
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