Legendre basis
A set of orthogonal polynomial basis functions defined on the interval [-1, 1], generated by a recurrence relation and characterized by orthogonality and coefficient decay. It is commonly used in function approximation and spectral methods.
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The paper conducted numerical experiments using the Legendre basis and the trigonometric basis, validating the theoretical results.
The Legendre basis is a set of orthogonal polynomials defined on the interval [-1,1], generated by the recurrence relation P_{n+1}(x) = [(2n+1)x P_n(x) - n P_{n-1}(x)]/(n+1).
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The paper conducted numerical experiments using the Legendre basis and the trigonometric basis, validating the theoretical results.
50%UnverifiedThe Legendre basis is a set of orthogonal polynomials defined on the interval [-1,1], generated by the recurrence relation P_{n+1}(x) = [(2n+1)x P_n(x) - n P_{n-1}(x)]/(n+1).
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