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

• Autorzy: Zerrin Önder , İbrahim Çanak , Ümit Totur
• Języki publikacji: EN

Abstrakty

EN

In this paper, we prove that a bounded double sequence of fuzzy numbers which is statistically convergent is also statistically (C, 1, 1) summable to the same number. We construct an example that the converse of this statement is not true in general. We obtain that the statistically (C, 1, 1) summable double sequence of fuzzy numbers is convergent and statistically convergent to the same number under the slowly oscillating and statistically slowly oscillating conditions in certain senses, respectively.

Słowa kluczowe

EN

Double sequences of fuzzy numbers; Slowly oscillating sequences; (C,1,1) summability; Statistical convergence; Tauberian theorems

Kategorie tematyczne

• 40E05: Tauberian theorems, general
• 26E50: Fuzzy real analysis
• 40G05: Ces\`aro, Euler, N\"orlund and Hausdorff methods
• 40A05: Convergence and divergence of series and sequences
• 40A35: Ideal and statistical convergence

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2017
• Tom: 15
• Numer: 1

Daty

wydano

2017-01-01

otrzymano

2016-10-28

zaakceptowano

2017-01-05

online

2017-03-06

Twórcy

autor

Zerrin Önder

• Department of Mathematics, Ege University, 35100 İzmir,

autor

İbrahim Çanak

• Department of Mathematics, Ege University, 35100 İzmir,

autor

Ümit Totur

• Department of Mathematics, Adnan Menderes University, 09100 Aydin,

Identyfikatory

DOI

10.1515/math-2017-0006