Estimation of Dirichlet kernel difference in the norm of L / V. O. Tonkov. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2010. ? 1. P. 12-18 [Moscow Univ. Math. Bulletin. Vol. 65, N 1, 2010. P. 10-15].
This work is related to the problem of estimation of the norm of
a trigonometrical polynomials through their coefficient in L.
It is proved that the norm of the difference of Dirichlet's kernels
in L has the precise order
Key words: norm of a trigonometrical polynomial in L, asymptotic estimate.