On the Nonsummability Almost Everywhere of Orthorecursive Expansions

It was proved earlier that only Weyl multipliers \(\lambda_{k}\) with the property \(\sum_{k=1}^{\infty}\dfrac{1}{\lambda_{k}}<\infty\) provide the almost everywhere convergence of an orthorecursive expansions of a function, which does not converge to it in the norm. This result is extended to summation methods that sum a sequence being constant starting with some its element to its limit.