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<a name="Derivatives-and-Integrals"></a>
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Next: <a href="Chebyshev-Approximation-Examples.html#Chebyshev-Approximation-Examples" accesskey="n" rel="next">Chebyshev Approximation Examples</a>, Previous: <a href="Chebyshev-Series-Evaluation.html#Chebyshev-Series-Evaluation" accesskey="p" rel="previous">Chebyshev Series Evaluation</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="Derivatives-and-Integrals-1"></a>
<h3 class="section">30.5 Derivatives and Integrals</h3>

<p>The following functions allow a Chebyshev series to be differentiated or
integrated, producing a new Chebyshev series.  Note that the error
estimate produced by evaluating the derivative series will be
underestimated due to the contribution of higher order terms being
neglected.
</p>
<dl>
<dt><a name="index-gsl_005fcheb_005fcalc_005fderiv"></a>Function: <em>int</em> <strong>gsl_cheb_calc_deriv</strong> <em>(gsl_cheb_series * <var>deriv</var>, const gsl_cheb_series * <var>cs</var>)</em></dt>
<dd><p>This function computes the derivative of the series <var>cs</var>, storing
the derivative coefficients in the previously allocated <var>deriv</var>.
The two series <var>cs</var> and <var>deriv</var> must have been allocated with
the same order.
</p></dd></dl>

<dl>
<dt><a name="index-gsl_005fcheb_005fcalc_005finteg"></a>Function: <em>int</em> <strong>gsl_cheb_calc_integ</strong> <em>(gsl_cheb_series * <var>integ</var>, const gsl_cheb_series * <var>cs</var>)</em></dt>
<dd><p>This function computes the integral of the series <var>cs</var>, storing the
integral coefficients in the previously allocated <var>integ</var>.  The two
series <var>cs</var> and <var>integ</var> must have been allocated with the same
order.  The lower limit of the integration is taken to be the left hand
end of the range <var>a</var>.
</p></dd></dl>




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