View source for Fejér singular integral

An integral of the form

<table class="eq" style="width:100%;"> <tr><td valign="top" style="width:94%;text-align:center;"><img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/f/f038/f038350/f0383501.png" /></td> </tr></table>

where

<table class="eq" style="width:100%;"> <tr><td valign="top" style="width:94%;text-align:center;"><img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/f/f038/f038350/f0383502.png" /></td> </tr></table>

is the Fejér kernel. The Fejér singular integral is an integral representation of the Fejér sums (cf. [[Fejér sum|Fejér sum]]) <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/f/f038/f038350/f0383503.png" />.

For references see [[Fejér sum|Fejér sum]].