Maddox, A new type of Cesaro mean
, Analysis, 9 (1989), no.
distribution of group automata starting from measures with summable decay.
This classical theorem states that for 2[pi]-periodic continuous functions f (x) the sequence of Cesaro means
alpha]] the n-th Cesaro means
of order [alpha], with [alpha] > -1, of the sequence ([s.
n] the nth Cesaro means
of order ([alpha], [beta]), with [alpha] + [beta] > -1, of the sequence ([s.
To the best of our knowledge, there is no such general theory governing the higher order Cesaro means
for orthogonal polynomial expansions.
MARKETT, On approximation by Cesaro means
of Laguerre expansion and best approximation, Resultate der Mathematik, 2 (1979), 124-150.