School of Mathematics & Computer Applications, Thapar Institute of Engg. & Tech., (Deemed University), Patiala (Punjab)-147004, INDIA.
*E-mail: ssbhatia63@yahoo.com
**E-mail: jatinkaur4u@yahoo.co.in
AMS Subject Classification: Primary 42A20, Secondary 42A32.
In this paper, a generalization of a theorem of Hooda and Ram on L1-convergence of modified cosine sums introduced by Kumari and Ram has been proved by considering the more general class of sequences S** instead of the class S* of coefficient sequences. Also, a necessary and sufficient condition for the L1-convergence of the cosine series is deduced as a corollary. These results also generalize the results of Teljakovskii on L1-convergence of the cosine series.
L1-convergence, modified cosine sums, quasimonotone, Dirichlet kernel
