feat: update math/base/tools TypeScript declarations

PR-URL: #12165
Reviewed-by: Athan Reines <kgryte@gmail.com>

Author: stdlib-bot

lib/node_modules/@stdlib/math/base/tools/docs/types/index.d.ts

@@ -20,6 +20,8 @@
 
 /* eslint-disable max-lines */
 
+import chebyshevSeries = require( '@stdlib/math/base/tools/chebyshev-series' );
+import chebyshevSeriesf = require( '@stdlib/math/base/tools/chebyshev-seriesf' );
 import continuedFraction = require( '@stdlib/math/base/tools/continued-fraction' );
 import evalpoly = require( '@stdlib/math/base/tools/evalpoly' );
 import evalpolyf = require( '@stdlib/math/base/tools/evalpolyf' );
@@ -36,6 +38,62 @@ import sumSeries = require( '@stdlib/math/base/tools/sum-series' );
 * Interface describing the `tools` namespace.
 */
 interface Namespace {
+	/**
+	* Evaluates a Chebyshev series using double-precision floating-point arithmetic.
+	*
+	* ## Notes
+	*
+	* -   The implementation uses [Clenshaw's recurrence algorithm][clenshaw].
+	* -   The function evaluates Chebyshev polynomials at `x/2`.
+	*
+	* [clenshaw]: https://en.wikipedia.org/wiki/Clenshaw_algorithm
+	*
+	* @param x - value at which to evaluate the Chebyshev series (expected to be in `[-2, 2]`)
+	* @param c - Chebyshev series coefficients ordered in descending degree
+	* @returns evaluated Chebyshev series
+	*
+	* @example
+	* var v = ns.chebyshevSeries( 1.0, [ 1.0, 0.5 ] ); // 1*T_0(1/2) + 0.5*T_1(1/2)
+	* // returns 0.75
+	*
+	* @example
+	* var evaluate = ns.chebyshevSeries.factory( [ 1.0, 0.5 ] ); // 1*T_0(1/2) + 0.5*T_1(1/2)
+	*
+	* var v = evaluate( 1.0 );
+	* // returns 0.75
+	*/
+	chebyshevSeries: typeof chebyshevSeries;
+
+	/**
+	* Evaluates a Chebyshev series using single-precision floating-point arithmetic.
+	*
+	* ## Notes
+	*
+	* -   The implementation uses [Clenshaw's recurrence algorithm][clenshaw].
+	* -   The function evaluates Chebyshev polynomials at `x/2`.
+	*
+	* [clenshaw]: https://en.wikipedia.org/wiki/Clenshaw_algorithm
+	*
+	* @param x - value at which to evaluate the Chebyshev series (expected to be in `[-2, 2]`)
+	* @param c - Chebyshev series coefficients ordered in descending degree
+	* @returns evaluated Chebyshev series
+	*
+	* @example
+	* var Float32Array = require( '@stdlib/array/float32' );
+	*
+	* var v = ns.chebyshevSeriesf( 1.0, new Float32Array( [ 1.0, 0.5 ] ) ); // 1*T_0(1/2) + 0.5*T_1(1/2)
+	* // returns 0.75
+	*
+	* @example
+	* var Float32Array = require( '@stdlib/array/float32' );
+	*
+	* var evaluate = ns.chebyshevSeriesf.factory( new Float32Array( [ 1.0, 0.5 ] ) ); // 1*T_0(1/2) + 0.5*T_1(1/2)
+	*
+	* var v = evaluate( 1.0 );
+	* // returns 0.75
+	*/
+	chebyshevSeriesf: typeof chebyshevSeriesf;
+
 	/**
 	* Evaluates the continued fraction approximation for the supplied series generator using the modified Lentz algorithm.
 	*