extremal properties
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1: 30.15 Signal Analysis
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§30.15(v) Extremal Properties
…2: Mathematical Introduction
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►In addition, there is a comprehensive account of the great variety of analytical methods that are used for deriving and applying the extremely important asymptotic properties of the special functions, including double asymptotic properties (Chapter 2 and §§10.41(iv), 10.41(v)).
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3: 18.38 Mathematical Applications
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►The monic Chebyshev polynomial , , enjoys the ‘minimax’ property on the interval , that is, has the least maximum value among all monic polynomials of degree .
In consequence, expansions of functions that are infinitely differentiable on in series of Chebyshev polynomials usually converge extremely rapidly.
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4: Bibliography C
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Some reformulated properties of Jacobian elliptic functions.
J. Math. Anal. Appl. 323 (1), pp. 522–529.
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Stability properties of disk polynomials.
Numer. Algorithms.
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Extremal measures for a system of orthogonal polynomials.
Constr. Approx. 9, pp. 111–119.
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Properties of generalized Freud polynomials.
J. Approx. Theory 225, pp. 148–175.
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Quasinormal modes of the extremal BTZ black hole.
Classical Quantum Gravity 21 (12), pp. 2801–2809.
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