On the Gaussian integration of Chebyshev polynomials
On the Gaussian integration of Chebyshev polynomials
It is shown that as <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="m"> <mml:semantics> <mml:mi>m</mml:mi> <mml:annotation encoding="application/x-tex">m</mml:annotation> </mml:semantics> </mml:math> </inline-formula> tends to infinity, the error in the integration of the Chebyshev polynomial of the first kind, <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper T Subscript left-parenthesis 4 m plus 2 right-parenthesis j plus-or-minus 2 l …