**legendre_shifted_polynomial**,
a MATLAB code which
evaluates the shifted Legendre polynomial.

The standard Legendre polynomial P(n,x) is defined over the interval [-1,+1]. The shifted Legendre polynomial P01(n,x) is shifted to the interval [0,1]. The relationships are:

P01(n,x) = P(n,(x+1)/2) P(n,x) = P01(n,2*x-1)

The computer code and data files described and made available on this web page are distributed under the MIT license

**legendre_shifted_polynomial** is available in
a C version and
a C++ version and
a FORTRAN90 version and
a MATLAB version and
a Python version.

bernstein_polynomial, a MATLAB code which evaluates the Bernstein polynomials, useful for uniform approximation of functions;

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legendre_shifted_polynomial_test

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- p_polynomial_value_test.m
- p_polynomial_values.m, returns values of the Legendre polynomials P(n,x).
- p_polynomial_values_test.m