On the summability methods of logarithmic type and the Berezin symbol

Authors

ULAŞ YAMANCI

DOI

10.3906/mat-1803-37

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.

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, ULAŞ (2018) "On the summability methods of logarithmic type and the Berezin symbol," Turkish Journal of Mathematics: Vol. 42: No. 5, Article 25. https://doi.org/10.3906/mat-1803-37
Available at: https://journals.tubitak.gov.tr/math/vol42/iss5/25