Results 181 to 190 of about 3,380 (222)
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Calcolo, 1993
Let \(f \in C^ 1[- 1,1]\) with the usual norm \(\max (\| f \|_ \infty, \| f' \|_ \infty)\) and let \(H_{2n} (f)\) be the Hermite interpolation polynomial of degree at most \(2n - 1\) interpolating \(f\) and \(f'\) at the zeros \(x_ k\), \(k = 1, \dots, n\) of the Jacobi polynomial with weight \((1 - x)^ \alpha (1 + x)^ \beta\), \(\alpha, \beta > - 1\),
DELLA VECCHIA, Biancamaria +1 more
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Let \(f \in C^ 1[- 1,1]\) with the usual norm \(\max (\| f \|_ \infty, \| f' \|_ \infty)\) and let \(H_{2n} (f)\) be the Hermite interpolation polynomial of degree at most \(2n - 1\) interpolating \(f\) and \(f'\) at the zeros \(x_ k\), \(k = 1, \dots, n\) of the Jacobi polynomial with weight \((1 - x)^ \alpha (1 + x)^ \beta\), \(\alpha, \beta > - 1\),
DELLA VECCHIA, Biancamaria +1 more
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Geometric Hermite interpolation
Computer Aided Geometric Design, 1995zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Klaus Höllig, J. Koch
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Hermite-Fejéa and Hermite Interpolation
1992The authors consider two procedures of Hermite and Hermite-Fejer interpolation based on the zeros of Jacobi polynomials plus additional nodes and prove that such procedures can always well approximate a function and its derivatives simultaneously.
CRISCUOLO, GIULIANA +2 more
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Computer Aided Geometric Design, 2001
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Anton Gfrerrer, Otto Röschel
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Anton Gfrerrer, Otto Röschel
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Hermite Interpolation on Sphere
International Conference on Computer Graphics, Imaging and Visualization (CGIV'05), 2005We consider the shape of two point Hermite interpolation on the sphere. A three-parameter family of spherical rational quartic curves has been derived. We derive the singularity conditions theoretically and discuss the shape of the solutions, which is characterized by the presence of loops and cusps on restricted as well as whole segment.
Zulfiqar Habib, Manabu Sakai
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A Note on Modified Hermite Interpolation
Mathematics in Computer Science, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ryszard Kozera, Magdalena Wilkolazka
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A note on the Hermite interpolation
Numerical Algorithms, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Science in China Series A: Mathematics, 2007
The author considers the problem of Hermite polynomial interpolation in the general case in which the maximum order of the interpolated derivatives is allowed to vary from node to node. Explicit representations of the fundamental functions of this problem and their derivatives of any order are obtained in terms of Pólya's cycle index polynomial of the ...
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The author considers the problem of Hermite polynomial interpolation in the general case in which the maximum order of the interpolated derivatives is allowed to vary from node to node. Explicit representations of the fundamental functions of this problem and their derivatives of any order are obtained in terms of Pólya's cycle index polynomial of the ...
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Approximation by discrete hermite interpolation
2010 11th International Conference on Control Automation Robotics & Vision, 2010For a function f(t) defined on the discrete interval N[a, b + 2] = {a, a + 1, …, 6 + 2}, we develop a class of quintic discrete Hermite interpolate H ρ f(t) that involves only differences. Further, explicit error bounds are offered in the form of the inequality ||f-H ρ f||≤c j max/t∊N[a, b+2-j] | Δj f(t)|, 2≤j≤6 where the constants C j , 2 ≤ 6 are ...
Fengmin Chen, Patricia J. Y. Wong
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Hermite Interpolation and Sobolev Orthogonality
Acta Applicandae Mathematica, 2000The main aim of the authors is to reveal the interpretation of the real-valued polynomials, which are orthogonal with respect to a bilinear form given as \[ (f,g)_S= V(f) AV(g)^T+\langle u, f^{(N)} g^{(N)}\rangle,\tag{\(*\)} \] in connection with the theory of interpolation and approximation. In \((*)\) \(u\) stands for a given linear functional on the
García-Caballero, Esther M. +2 more
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