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On the ๐ฟ1-Convergence of Modified Cosine Sums

  • Karanvir Singh and Kulwinder Kaur
Published/Copyright: March 10, 2010
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Georgian Mathematical Journal
From the journal Volume 15 Issue 1

Abstract

Concerning the ๐ฟ1-convergence of modified cosine sums introduced by Kumari and Ram [Indian J. Pure Appl. Math. 19: 1101โ€“1104, 1988], we generalise the results of Kumari, Ram [Indian J. Pure Appl. Math. 19: 1101โ€“1104, 1988] and Bor [Proc. Indian Acad. Sci. Math. Sci. 102: 235โ€“238, 1992]. Also a necessary and sufficient condition for the ๐ฟ1-convergence of cosine series has been deduced as a corollary for the said class.

Received: 2006-06-26
Revised: 2007-06-18
Published Online: 2010-03-10
Published in Print: 2008-March

ยฉ Heldermann Verlag

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