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Positivity

, Volume 23, Issue 4, pp 891–919 | Cite as

Tauberian theorems for statistically (C, 1, 1) summable double sequences

  • Zerrin Önder
  • İbrahim ÇanakEmail author
Article
  • 118 Downloads

Abstract

In this paper, we obtain some Tauberian conditions in terms of slow oscillation and slow decreasing in certain senses, under which convergence of a double sequence in Pringsheim’s sense follows from its statistical (C, 1, 1) summability.

Keywords

Double sequences Convergence in Pringsheim’s sense \((C , 1 , 1)\) summability Statistical convergence Slowly decreasing sequences Slowly oscillating sequences Statistically slowly decreasing sequences Statistically slowly oscillating sequences One-sided Tauberian conditions Two-sided Tauberian conditions Tauberian theorems 

Mathematics Subject Classification

40A05 40A35 40E05 40G05 

Notes

Acknowledgements

This study is supported by Ege University Scientific Research Projects Coordination Unit. Project Number 513.

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of MathematicsEge UniversityIzmirTurkey

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