A new evaluation for the norm of the Fourier operator S-n
Guolong He · Journal of Zhejiang Normal University · 2004
The norm of the Fourier operator S-n,‖S-n‖=1π∫+π-{-π}sin 2n+12t2sint2dt was studied.It is well known that ‖S-n‖=4π+2log n+A-n,where A-n is a uniformly bounded sequence.The best known evaluation was obtained by Rivlin:‖S-n‖≤4π+2log n+3.Through a precise evaluation,it was shown that {4π+2log n+1‖S-n‖4π+2log n+2.}