A generalization of Chebyshev polynomials

DOI10.1016/0021-9045(79)90066-2zbMath0425.41010OpenAlexW1968056119MaRDI QIDQ1135458

Borislav D. Bojanov

Publication date: 1979

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(79)90066-2

zbMATH Keywords

Chebyshev polynomialsextremal polynomialexistence and the uniqueness

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Interpolation in approximation theory (41A05) Approximation with constraints (41A29) Approximation by polynomials (41A10)

Related Items (11)

Exact Markov inequalities for the Hermite and Laguerre weights ⋮ A note on the optimal recovery of functions in \(H^{\infty}\) ⋮ Extended Lagrange interpolation and nonclassical Gauss quadrature formulae ⋮ On oscillating polynomials ⋮ On the weighted Bojanov-Chebyshev problem and Fenton's sum of translates method;О весовой задаче Боянова-Чебышeва и методе Фентона для сумм сдвигов функций ⋮ Oscillating Tchebycheff systems ⋮ A minimax problem for sums of translates on the torus ⋮ A new family of extended Gauss quadratures with an interior interval constraint ⋮ Extreme problems on classes of polynomials and splines ⋮ Complex Chebyshev polynomials and generalizations with an application to the optimal choice of interpolating knots in complex planar splines ⋮ Rational interpolation and open-up mappings

Cites Work

• A differential equation approach to interpolation at extremal points
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