On local integro quartic splines

Жанлав, Т.; Mijiddorj, Renchin-Ochir

doi:10.1016/j.amc.2015.07.077

Cited by 9 publications

(10 citation statements)

References 7 publications

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“…This conjecture has been confirmed in the quadratic [17], quartic [10] and sextic cases [16]. Zhanlav and Mijiddorj [20] attempted to explain the reason for the super-convergence by the local integro spline. The super-convergence phenomenon for the spline quasi-interpolant is interesting not only from theoretical, but also from practical, point of view.…”

Section: Introductionmentioning

confidence: 85%

Algorithm to Construct Integro Splines

Mijiddorj

Жанлав

2021

ANZIAM J.

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We study some properties of integro splines. Using these properties, we design an algorithm to construct splines $S_{m+1}(x)$ of neighbouring degrees to the given spline $S_m(x)$ with degree m. A local integro-sextic spline is constructed with the proposed algorithm. The local integro splines work efficiently, that is, they have low computational complexity, and they are effective for use in real time. The construction of nonlocal integro splines usually leads to solving a system of linear equations with band matrices, which yields high computational costs.

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Section: Introductionmentioning

confidence: 85%

Algorithm to Construct Integro Splines

Mijiddorj

Жанлав

2021

ANZIAM J.

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“…The uniform norm on [0, 1] of the approximation error has been estimated for a function y and its integral UAH quasi interpolant Qn y (12) and (13) in the spline space associated with a partition into n equal parts as…”

Section: Ta B L Ementioning

confidence: 99%

Uniform algebraic hyperbolic spline quasi‐interpolant based on mean integral values

Barrera

Eddargani

Lamnii

2020

Comp and Math Methods

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In the present work, a novel spline quasi-interpolation operator reproducing both constant polynomials and algebraic hyperbolic functions is presented. The quasi-interpolant to a given function is defined from the integrals on every interval of the function to be approximated. Compared to the other existing methods, this operator does not need any additional end conditions and it is easy to be implemented without solving any system of equations. The approximation properties of the operator are theoretically analyzed and some numerical tests are presented to illustrate its performance.

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“…Using (3.29) and (3.43) into the last formula, we obtain the well-known explicit formula that was derived first in [14]…”

Section: (328)mentioning

confidence: 99%