A NOTE ON p L ? CONVERGENCE OF CERTAIN COSINE SUMS Page No: 1707-1711

Maher MH Marzuq

Keywords: Bounded variation, ? - quasi-monotone sequence, certain cosine sums, Lp? and convergence. AMS Subject Classifications 2010, Primary 42A20, 42A32

Abstract: In this paper we obtain theorems concerning Lp? space with p=1, 0 < p < 1 and 0 < p < 1 2 . We will redefine some theorem of Telyakovskii (1973) and Corollary of Marzuq (1975) as well as Corollary of Ram (1977).



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