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<title>GNU Scientific Library &ndash; Reference Manual: Chebyshev Series Evaluation</title>

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Next: <a href="Derivatives-and-Integrals.html#Derivatives-and-Integrals" accesskey="n" rel="next">Derivatives and Integrals</a>, Previous: <a href="Auxiliary-Functions-for-Chebyshev-Series.html#Auxiliary-Functions-for-Chebyshev-Series" accesskey="p" rel="previous">Auxiliary Functions for Chebyshev Series</a>, Up: <a href="Chebyshev-Approximations.html#Chebyshev-Approximations" accesskey="u" rel="up">Chebyshev Approximations</a> &nbsp; [<a href="Function-Index.html#Function-Index" title="Index" rel="index">Index</a>]</p>
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<a name="Chebyshev-Series-Evaluation-1"></a>
<h3 class="section">30.4 Chebyshev Series Evaluation</h3>

<dl>
<dt><a name="index-gsl_005fcheb_005feval"></a>Function: <em>double</em> <strong>gsl_cheb_eval</strong> <em>(const gsl_cheb_series * <var>cs</var>, double <var>x</var>)</em></dt>
<dd><p>This function evaluates the Chebyshev series <var>cs</var> at a given point <var>x</var>.
</p></dd></dl>

<dl>
<dt><a name="index-gsl_005fcheb_005feval_005ferr"></a>Function: <em>int</em> <strong>gsl_cheb_eval_err</strong> <em>(const gsl_cheb_series * <var>cs</var>, const double <var>x</var>, double * <var>result</var>, double * <var>abserr</var>)</em></dt>
<dd><p>This function computes the Chebyshev series <var>cs</var> at a given point
<var>x</var>, estimating both the series <var>result</var> and its absolute error
<var>abserr</var>.  The error estimate is made from the first neglected term
in the series.
</p></dd></dl>

<dl>
<dt><a name="index-gsl_005fcheb_005feval_005fn"></a>Function: <em>double</em> <strong>gsl_cheb_eval_n</strong> <em>(const gsl_cheb_series * <var>cs</var>, size_t <var>order</var>, double <var>x</var>)</em></dt>
<dd><p>This function evaluates the Chebyshev series <var>cs</var> at a given point
<var>x</var>, to (at most) the given order <var>order</var>.
</p></dd></dl>

<dl>
<dt><a name="index-gsl_005fcheb_005feval_005fn_005ferr"></a>Function: <em>int</em> <strong>gsl_cheb_eval_n_err</strong> <em>(const gsl_cheb_series * <var>cs</var>, const size_t <var>order</var>, const double <var>x</var>, double * <var>result</var>, double * <var>abserr</var>)</em></dt>
<dd><p>This function evaluates a Chebyshev series <var>cs</var> at a given point
<var>x</var>, estimating both the series <var>result</var> and its absolute error
<var>abserr</var>, to (at most) the given order <var>order</var>.  The error
estimate is made from the first neglected term in the series.
</p></dd></dl>







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