GENERALIZED SIMULTANEOUS CHEBYSHEV APPROXIMATION

In this note,we develop,without assuming the Haar condition,a generalized simultaneousChebyshev approximation theory which is similar to the classical Chebyshev theory and con-rains it as a special case.Our results also contain those in1]and3]as a special case,and thetwo conjectures proposed by C.B.Dunham in2]are proved to be true in the case of simulta-neous approximation.

Generalized simultaneous Chebyshev approximation

In this note, we develop, without assuming the Haar condition, a generalized simulaneous Chebyshev approximation theory which is similar to the classical Chebyshev theory and contains it as a special case. Our results also contain those in 1] and 3] as a special case, and the two conjectures proposed by C. B. Dunham in 2] are proved to be true in the case of simultaneous approximation.