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

Zerrin Önder; İbrahim Çanak; Ümit Totur

Open Mathematics (2017)

- Volume: 15, Issue: 15, page 157-178
- ISSN: 2391-5455

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topZerrin Önder, İbrahim Çanak, and Ümit Totur. "Tauberian theorems for statistically (C,1,1) summable double sequences of fuzzy numbers." Open Mathematics 15.15 (2017): 157-178. <http://eudml.org/doc/288025>.

@article{ZerrinÖnder2017,

abstract = {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.},

author = {Zerrin Önder, İbrahim Çanak, Ümit Totur},

journal = {Open Mathematics},

keywords = {Double sequences of fuzzy numbers; Slowly oscillating sequences; (C,1,1) summability; Statistical convergence; Tauberian theorems; double sequences of fuzzy numbers; slowly oscillating sequences; $(C,1,1)$ summability; statistical convergence},

language = {eng},

number = {15},

pages = {157-178},

title = {Tauberian theorems for statistically (C,1,1) summable double sequences of fuzzy numbers},

url = {http://eudml.org/doc/288025},

volume = {15},

year = {2017},

}

TY - JOUR

AU - Zerrin Önder

AU - İbrahim Çanak

AU - Ümit Totur

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

JO - Open Mathematics

PY - 2017

VL - 15

IS - 15

SP - 157

EP - 178

AB - 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.

LA - eng

KW - Double sequences of fuzzy numbers; Slowly oscillating sequences; (C,1,1) summability; Statistical convergence; Tauberian theorems; double sequences of fuzzy numbers; slowly oscillating sequences; $(C,1,1)$ summability; statistical convergence

UR - http://eudml.org/doc/288025

ER -

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