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On the Convolution of Functions of Generalized Bounded Variations

  • Rajendra G. Vyas
Published/Copyright: March 10, 2010
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Georgian Mathematical Journal
From the journal Volume 13 Issue 1

Abstract

Let ๐‘“ and ๐‘” be 2ฯ€ periodic functions. If ๐‘“ โˆˆ ๐ฟ1[0, 2ฯ€] and ๐‘” is from โˆง ๐ต๐‘‰(๐‘)[0, 2ฯ€] or, Lip(ฮฑ, ๐‘)[0, 2ฯ€] or, ๐‘Ÿ โ€“ ๐ต๐‘‰ [0, 2ฯ€], then ๐‘“ convolution ๐‘” inherit the same property.

Received: 2004-11-22
Published Online: 2010-03-10
Published in Print: 2006-March

ยฉ Heldermann Verlag

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