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A function  $  K( x, s) $, 
$  a \leq  x, s \leq  b $, 
such that for any points  $  x _ {1} \dots x _ {n} \in [ a, b] $, 
which (when  $  n= 2 $) 
include at least one interior point, the matrix  $  \| K( x _ {i} , x _ {k} ) \| _ {1}  ^ {n} $
is an [[oscillating matrix]].

====References====
<table>
<TR><TD valign="top">[a1]</TD> <TD valign="top">  F.R. Gantmakher, M.G. Krein, "Oscillation matrices and kernels and small vibrations of mechanical systems" , Dept. Commerce USA. Joint Publ. Service  (1961)  (Translated from Russian)</TD></TR>
<TR><TD valign="top">[a2]</TD> <TD valign="top">  S. Karlin, "Total positivity" , Stanford Univ. Press  (1960)</TD></TR>
</table>