In this paper we generalize two inequalifies of Telyakovskii type (see [2], [5], [6], [7]), by considering the class S-alpha, alpha > 0 (see [2]) and positive derivate of order alpha for cosine and sine series. Also, an equivalent form of the Leinder's class S-alpha, alpha > 0 is given.
机构:
Univ Minnesota, Inst Math & Applicat, 207 Church St SE,434 Lind Hall, Minneapolis, MN 55455 USAUniv Minnesota, Inst Math & Applicat, 207 Church St SE,434 Lind Hall, Minneapolis, MN 55455 USA