Some new modified cosine sums and $L^{1}$-convergence of cosine trigonometric series

Xhevat Z. Krasniqi

Address: University of Prishtina, Faculty of Education, Department of Mathematics and Informatics, Agim Ramadani St., n.n., Prishtinë 10000, Republic of Kosova

E-mail: xhevat.krasniqi@uni-pr.edu

Abstract: In this paper we introduce some new modified cosine sums and then using these sums we study $L^{1}$-convergence of trigonometric cosine series.

AMSclassification: primary 42A20; secondary 42A32.

Keywords: L^{1}-convergence of trigonometric cosine series, new modified cosine sums, Dirichlet kernel.

DOI: 10.5817/AM2013-1-43