摘要
It is proved that the Chebyshev polynomial _n(x)=T_n (xcos π/2n), has the greatest uniform norm on [-1, 1] of its third derivative among the real polynomials of degree at most n, which are bounded by 1 in [-1, 1] and vanish in -1 and 1.
It is proved that the Chebyshev polynomial _n(x)=T_n (xcos π/2n), has the greatest uniform norm on [-1, 1] of its third derivative among the real polynomials of degree at most n, which are bounded by 1 in [-1, 1] and vanish in -1 and 1.
基金
Research Supported by the Sofia University Science Foundation under Project No. 153/95.
