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chebyshev polynomials pdf represents a topic that has garnered significant attention and interest. ChebyshevPolynomials - John D. February 9, 2008 Abstract The Chebyshev polynomials are both elegant and useful. This note summarizes some of their elementary properties with brief proofs. Chebyshev Polynomials and Economization of Power Series.
Compare the values given by the Lagrange interpolating polynomial found using four equally spaced nodes to the Lagrange interpolating polynomial with nodes given by the roots of T4(x). sec_4-5.dvi - University of Iowa. From another angle, then the degree n monic polynomial with the smallest maxi-mum on [ā1, 1] is the modified Chebyshev polynomial eTn(x), and its maximum value on [ā1, 1] is 1/2nā1.
This result is used in devising applications of Cheby-shev polynomials. In relation to this, we apply it to obtain an improved interpolation scheme.
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