Georgian Mathematical Journal 13 (2006), No. 1, 193--197
Copyright Heldermann Verlag 2006
On the Convolution of Functions of Generalized Bounded Variations
Rajendra G. Vyas
Dept. of Mathematics, Faculty of Science, Maharaja Sayajirao University of Baroda, Vadodara-390002, Gujarat, India
drrgvyas@yahoo.com
[Abstract-pdf]
Let $f$ and $g$ be 2$\pi$ periodic functions. If $f\in L^1[0,2\pi]$ and $g$ is from $\bigwedge BV^{(p)}[0,2\pi]$ or, ${\rm Lip} (\alpha,p) [0,2\pi]$ or, $r-BV[0,2\pi]$, then $f$ convolution $g$ inherit the same property.
Keywords: Convolution and p-Bigwedge-bounded variation.
MSC: 42A85
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