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<title>Chebyshev Series Evaluation - GNU Scientific Library -- Reference Manual</title>
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<a name="Chebyshev-Series-Evaluation"></a>
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<h3 class="section">28.3 Chebyshev Series Evaluation</h3>
<div class="defun">
— Function: double <b>gsl_cheb_eval</b> (<var>const gsl_cheb_series * cs, double x</var>)<var><a name="index-gsl_005fcheb_005feval-2133"></a></var><br>
<blockquote><p>This function evaluates the Chebyshev series <var>cs</var> at a given point <var>x</var>.
</p></blockquote></div>
<div class="defun">
— Function: int <b>gsl_cheb_eval_err</b> (<var>const gsl_cheb_series * cs, const double x, double * result, double * abserr</var>)<var><a name="index-gsl_005fcheb_005feval_005ferr-2134"></a></var><br>
<blockquote><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></blockquote></div>
<div class="defun">
— Function: double <b>gsl_cheb_eval_n</b> (<var>const gsl_cheb_series * cs, size_t order, double x</var>)<var><a name="index-gsl_005fcheb_005feval_005fn-2135"></a></var><br>
<blockquote><p>This function evaluates the Chebyshev series <var>cs</var> at a given point
<var>n</var>, to (at most) the given order <var>order</var>.
</p></blockquote></div>
<div class="defun">
— Function: int <b>gsl_cheb_eval_n_err</b> (<var>const gsl_cheb_series * cs, const size_t order, const double x, double * result, double * abserr</var>)<var><a name="index-gsl_005fcheb_005feval_005fn_005ferr-2136"></a></var><br>
<blockquote><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></blockquote></div>
<!-- @deftypefun double gsl_cheb_eval_mode (const gsl_cheb_series * @var{cs}, double @var{x}, gsl_mode_t @var{mode}) -->
<!-- @end deftypefun -->
<!-- @deftypefun int gsl_cheb_eval_mode_err (const gsl_cheb_series * @var{cs}, const double @var{x}, gsl_mode_t @var{mode}, double * @var{result}, double * @var{abserr}) -->
<!-- Evaluate a Chebyshev series at a given point, using the default -->
<!-- order for double precision mode(s) and the single precision -->
<!-- order for other modes. -->
<!-- @end deftypefun -->
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