KnowraChebyshev polynomialsLinked fromLinked fromThe 14 pages that link to Chebyshev polynomials, each with the reason it gives.All 14Broader topic 2Related 10Compared with 2Polynomial interpolationRelated: Their roots and extrema provide node choices with favorable interpolation behavior.Cyclotomic polynomialCompared with: Chebyshev polynomials encode cosine values, while cyclotomic polynomials encode exact root orders.CosineRelated: They turn cosine’s angle-multiplication rule into polynomial identities.Rational approximationRelated: They underpin efficient polynomial bases and comparison methods for approximation.Spectral methodRelated: They give accurate polynomial expansions and useful interpolation points.Weierstrass approximation theoremRelated: They provide efficient polynomial approximants with small maximum error.Legendre polynomialsCompared with: Their endpoint-weighted orthogonality differs from Legendre polynomials’ constant weight.Lucas sequenceRelated: Their recurrence identities connect them to special Lucas sequences.Polynomial evaluationBroader topic: Chebyshev expansions can improve approximation behavior and numerical stability over some input ranges.Pafnuty ChebyshevBroader topic: Their extremal behavior makes them effective tools for polynomial approximation.Matching polynomialRelated: Matching polynomials of paths can be expressed using Chebyshev polynomials.Inverse hyperbolic functionsRelated: Their identities connect inverse hyperbolic cosine to polynomial growth outside [−1,1].Markov brothers' inequalityRelated: Chebyshev polynomials attain equality in Markov’s first-derivative bound.Niven's theoremRelated: Their recurrence relations can turn rational-angle trigonometric identities into polynomial constraints.