Explicit generalized Zolotarev polynomials with complex coefficients II

In this paper, we give certain complex linear combinations of classical Chebyshev polynomials of the first kind, which deviate least from zero on [-1,1] with respect to the maximum norm among all polynomials which have the same m first leading coefficients. These polynomials can also be considered as a generalization of Zolotarev polynomials. Corresponding results are obtained with respect to certain weight functions.