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<a name="Creation-and-Calculation-of-Chebyshev-Series"></a>
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<p>
Next: <a href="Auxiliary-Functions-for-Chebyshev-Series.html#Auxiliary-Functions-for-Chebyshev-Series" accesskey="n" rel="next">Auxiliary Functions for Chebyshev Series</a>, Previous: <a href="Chebyshev-Definitions.html#Chebyshev-Definitions" accesskey="p" rel="previous">Chebyshev Definitions</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="Creation-and-Calculation-of-Chebyshev-Series-1"></a>
<h3 class="section">30.2 Creation and Calculation of Chebyshev Series</h3>

<dl>
<dt><a name="index-gsl_005fcheb_005falloc"></a>Function: <em>gsl_cheb_series *</em> <strong>gsl_cheb_alloc</strong> <em>(const size_t <var>n</var>)</em></dt>
<dd><p>This function allocates space for a Chebyshev series of order <var>n</var>
and returns a pointer to a new <code>gsl_cheb_series</code> struct.
</p></dd></dl>

<dl>
<dt><a name="index-gsl_005fcheb_005ffree"></a>Function: <em>void</em> <strong>gsl_cheb_free</strong> <em>(gsl_cheb_series * <var>cs</var>)</em></dt>
<dd><p>This function frees a previously allocated Chebyshev series <var>cs</var>.
</p></dd></dl>

<dl>
<dt><a name="index-gsl_005fcheb_005finit"></a>Function: <em>int</em> <strong>gsl_cheb_init</strong> <em>(gsl_cheb_series * <var>cs</var>, const gsl_function * <var>f</var>, const double <var>a</var>, const double <var>b</var>)</em></dt>
<dd><p>This function computes the Chebyshev approximation <var>cs</var> for the
function <var>f</var> over the range <em>(a,b)</em> to the previously specified
order.  The computation of the Chebyshev approximation is an
<em>O(n^2)</em> process, and requires <em>n</em> function evaluations.
</p></dd></dl>




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