Wai Sun Don has written:

'The Chebyshev-Legendre method: implementing Legendre methods on Chebyshev points' -- subject(s): Chebyshev method, Legendre functions

'The Chebyshev-Legendre method' -- subject(s): Legendre's polynomials, Chebyshev polynomials

Kim-Chuan Toh has written:

'Matrix approximation problems and nonsymmetric iterative methods' -- subject(s): Matrices, Iterative methods (Mathematics)

'The Chebyshev polynomials of a matrix' -- subject(s): Chebyshev polynomials, Matrices

Yes, there are Chebyshev polynomials of the third and fourth kind, not just the first and second.

The third kind is often denoted Vn (x) and it is

Vn(x)=(1-x)1/2 (1+x)-1/2 and the domain is (-1,1)

Chebychev polynomials of the fourth kind are deonted

wn(x)=(1-x)-1/2 (1+x)1/2

As with other Chebychev polynomials, they are orthogonal.

They are both special cases of Jacobi polynomials.

Francis Chien H. Wang has written:

'The design of low-pass filter with inverse Chebyshev response' -- subject(s): Chebyshev polynomials, Electric engineering, Electric networks

The difference between chebyshev and inverse chebyshev apprroximation is that the ripple of the Inverse Chebyshev filter is confined to the stop-band.