Abstract

We prove by means of the Berezin symbols some theorems for the $\left( L\right) $-summability method for sequences and series. Also, we prove a new Tauberian type theorem for $\left( L\right) $-summability.

DOI

10.3906/mat-1803-37

Keywords

$\left( L\right) $-summability, Berezin symbol, $\left( e\right) $-convergence, compact operator, Tauberian type theorem, Dirichlet space, diagonal operator

First Page

2417

Last Page

2422

Recommended Citation

YAMANCI, U (2018). On the summability methods of logarithmic type and the Berezin symbol. Turkish Journal of Mathematics 42 (5): 2417-2422. https://doi.org/10.3906/mat-1803-37

Download