Results 51 to 60 of about 105 (90)

Real-Time, Local Spline Interpolation Schemes on Bounded Intervals

, 2016
We develop a local polynomial spline interpolation scheme for arbitrary spline order on bounded intervals. Our method's local formulation, effective boundary considerations and optimal interpolation error rate make it particularly useful for real ...
Maria D Van Der Walt
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On generalizations of some integral inequalities via lidstone green functions

Mathematical and Computer Modelling of Dynamical Systems
In this paper, we generalize the classical Hermite-Hadamard, Ostrowski, and Simpson type integral inequalities by using Lidstone interpolation polynomials and their associated Green functions.
Rubayyi T. Alqahtani, Mehmet Zeki Sarikaya   +1 more
doaj   +1 more source

Optimal interpolation formulas in the Sobolev space of periodic functions

Results in Applied Mathematics
The problem of finding the extremal function of an interpolation formula and of evaluating the norm of the error functional in the Sobolev space was first posed by S.L.Sobolev. In that work (Sobolev, 1961 [1] ), the extremal function of the interpolation
Kholmat Shadimetov, Khurshidjon Khayatov
doaj   +1 more source

Optimal cubic Lagrange interpolation: Extremal node systems with minimal Lebesgue constant [PDF]

, 2015
In the theory of interpolation of continuous functions by algebraic polynomials of degree at most n − 1 > 2, the search for explicit analytic expressions of extremal node systems which lead to the minimal Lebesgue constant is still an intriguing topic in
RACK, Heinz-Joachim, VAJDA, Robert
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Symmetries of Linear Functionals

, 1994
It is shown that a linear functional on a space of functions can be described by G, a group of its symmetries, together with the restriction of to certain G-invariant functions. This simple consequence of invariant theory has long been used, implicitly,
Shayne Waldron
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Multiresolution Based On Weighted Averages Of The Hat Function I: Linear Reconstruction Techniques

, 1993
. In this paper we analyze a particular example of the general framework developed in [20]; the case in which the discretization operator is obtained by taking local averages with respect to the hat function.
Rosa Donat, Ami Harten, Francesc Aràndiga, Francesc Ar Andiga   +3 more
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Shape preserving properties and convergence of univariate multiquadric quasi-interpolation

, 1994
: With a suitable modification at the endpoints of the range, quasi--interpolation with univariate multiquadrics OE(x) = p c 2 + x 2 is shown to preserve convexity and monotonicity. If h is the maximum distance of centres, convergence of the quasi--
Schaback, Robert, Wu, Zongmin
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Best Near-Interpolation By Curves: Existence And Convergence

, 1999
. In this paper, the conditions derived in [10] for the existence of minimizers to the nonlinear problem of best \interpolation" by curves are extended to the problem of best \near-interpolation" by curves that meet arbitrary sets, such as ...
Scott N. Kersey
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Hermite Interpolation with Radial Basis Functions on Spheres

, 1999
. We show how conditionally negative definite functions on spheres coupled with strictly completely monotone functions (or functions whose derivative is strictly completely monotone) can be used for Hermite interpolation.
Gregory E. Fasshauer
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Interpolating Refinable Functions And Wavelets For General Scaling Matrices

, 1997
This paper introduces a general procedure for constructing interpolating re- nable functions for arbitrary dilation matrices. The key ideas are based on the construction presented in [24].
Stephan Dahlke, Maaß, P., Peter Maass, Dahlke, S.   +3 more
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