Comparison theorems for summability methods of sequences of fuzzy numbers

@article{Yavuz2018ComparisonTF,
  title={Comparison theorems for summability methods of sequences of fuzzy numbers},
  author={Enes Yavuz},
  journal={J. Intell. Fuzzy Syst.},
  year={2018},
  volume={35},
  pages={651-658}
}
  • E. Yavuz
  • Published 28 October 2016
  • Mathematics, Computer Science
  • J. Intell. Fuzzy Syst.
In this study we compare Ces\`{a}ro and Euler weighted mean methods of summability of sequences of fuzzy numbers with Abel and Borel power series methods of summability of sequences of fuzzy numbers. Also some results dealing with series of fuzzy numbers are obtained. 

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References

SHOWING 1-10 OF 35 REFERENCES
On the Borel summability method of sequences of fuzzy numbers
TLDR
Bolterian conditions under which Borel summable sequences of fuzzy numbers are convergent are investigated and analogous Tauberian results for Borel sumability method of series of fuzzyNumbers are given.
Abel summability of sequences of fuzzy numbers
TLDR
The concept of Abel summability for sequences and series of fuzzy numbers is introduced and some tauberian results in classical analysis have been generalized to fuzzy analysis.
Power series methods of summability for series of fuzzy numbers and related Tauberian Theorems
TLDR
The study of power series methods of summability for series of fuzzy numbers is initiated and some Tauberian conditions are established to obtain convergence of a series of warm numbers from its summability by powerseries methods.
Euler summability method of sequences of fuzzy numbers and a Tauberian theorem
  • E. Yavuz
  • Mathematics, Computer Science
    J. Intell. Fuzzy Syst.
  • 2017
TLDR
A Tauberian theorem concerning Euler summability method is state, of which proof provides an alternative to that of K. Knopp when the sequence is of real numbers.
On Tauberian theorems for Cesàro summability of sequences of fuzzy numbers
  • Ibrahim Çanak
  • Mathematics, Computer Science
    J. Intell. Fuzzy Syst.
  • 2016
TLDR
The concept of the Cesaro convergence of a sequence of fuzzy numbers defined by Subrahmanyam is used to prove some Tauberian theorems for sequences of fuzzier numbers and obtain fuzzy analogues of some classical Tauberians for Cesaro summability of sequences of fuzzyNumbers as a corollary.
Nörlund and Riesz mean of sequences of fuzzy real numbers
TLDR
Some properties of the Norlund and Riesz mean of sequences of fuzzy real numbers are studied to establish necessary and sufficient conditions to transform convergent sequence of fuzzy numbers into convergent sequences of fuzzier numbers with limit preserving.
On the Cesàro convergence of sequences of fuzzy numbers
TLDR
It is determined necessary and sufficient Tauberian conditions under which convergence follows from ( C , 1 ) -convergence of sequences of fuzzy numbers.
Statistical summability(C, 1) for sequences of fuzzy real numbers and a Tauberian theorem
TLDR
This paper studies the concept of statistical summability (C, 1) for fuzzy real numbers which for real numbers was introduced by Moricz and constructs some interesting examples.
On the Riesz mean of sequences of fuzzy real numbers
  • Ibrahim Çanak
  • Mathematics, Computer Science
    J. Intell. Fuzzy Syst.
  • 2014
TLDR
It is stated and proved that a fuzzy analogue of a Theorem due to Moricz and Rhoades is state and proved.
Generalized statistically convergent sequences of fuzzy numbers
TLDR
Certain new spaces of statistically convergent and strongly summable sequences of fuzzy numbers are defined to be fuzzy λ- statistically pre-Cauchy and fuzzyλ-statistically convergent.
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