Name:

chebyshevform computes a rigorous polynomial approximation

Library name:

sollya_obj_t sollya_lib_chebyshevform(sollya_obj_t, sollya_obj_t,                                       sollya_obj_t);

Usage:

chebyshevform(f, n, I) : (function, integer, range) -> list

Parameters:

Description:

Example 1:

   > TL=chebyshevform(exp(x), 10, [-1,1]);
   > p=TL[0];
   > Delta=TL[2];
   > p; Delta;
   1.00000000000000000000000000000000000000000000000017 + x * (1.0000000002738981919773953471453626764777115166417 + x * (0.50000000002276754368023326882542097365411870042311 + x * (0.166666661190450656168988993421371510533693281444003 + x * (4.16666662114404339731887995095915661615696989046437e-2 + x * (8.3333639749825520034240517636254576844423981913792e-3 + x * (1.38889143636148090706862105537216777944219976325265e-3 + x * (1.98342776066472142284727329700227389403558111865906e-4 + x * (2.47957727598277888282218067965324267955768146489014e-5 + x * (2.82540334409824772663163700125420195118047008360658e-6 + x * 2.81369833337188431358280911630401974906330455923616e-7)))))))))
   [-2.71406412827174505775085010461449926572460824320373e-11;2.71406412827174505775085010461449926572460824320373e-11]
See also: taylorform, diff, autodiff, taylor, remez
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