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This problem approximates problem (9), and the rate of approximation is O ( h 2 ) for a biharmonic equation and O ( h ) for boundary conditions (see [13]).
One novel feature of this result is that it requires several different estimates to describe the optimal rate of approximation.
The problem of finding the correct asymptotic rate of approximation by polynomial loops in dependence of the smoothness of the elements of a loop group seems not well-understood in general.
Lastly, we find the rate of approximation of functions having a derivative of bounded variation.
Zeng and Chen [11] estimated the rate of approximation for Bézier Bernstein Durrmeyer operators.
Lastly, we discuss the rate of approximation of functions having derivatives of bounded variations.
Similar(33)
We show that the restrictions of tree approximation cost little in terms of rates of approximation.
In the paper we generalize the main results presented in Bentkus and Paulauskas (2004) [2] by giving rates of approximation of some semigroups of operators of the order n−α, 0<α⩽1.
An interpolation error estimate is given to assess the convergence rate of the approximation.
Unlike the other analytical methods, HAM can control and adjust the convergence region and rate of the approximation series solution.
We numerically show the rate of the approximation as well as the consequences for the rate of entropy decay for homogeneous solutions of the Boltzmann equation and Landau equation.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com