 Generic
Number - 1463 |
| References
- 0 |
| Written
Date -
September 18th, 13 |
| Modified
Date -
September 18th, 13 |
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| Summary |
We construct exponentially fitted interpolation formulas using the values of the
$\omega$-dependent function
$f$ as well as its derivatives up to the $n$th order at a finite number of nodes
on a closed interval $\Omega.$
The function $f$ is of the form,
$$ f(x) = f_1(x) \cos (\omega x) + f_2(x) \sin (\omega x), x \in \Omega, $$
where $f_1$ and $f_2$ are smooth enough to be approximated by polynomials on
$\Omega.$
Some properties of the formulas are newly found.
The properties are numerically investigated
and reexamined by producing some figures. |
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Exponentially fitted interpolation formulas involving first and higher-order derivatives
