### DELTA^m STATISTICAL CONVERGENCE OF ORDER alpha FOR DOUBLE SEQUENCES OF FUNCTIONS

Muhamed Çinar, Mikail Et

DOI Number
https://doi.org/10.22190/FUMI2002393C
First page
393
Last page
404

#### Abstract

In this paper, we introduce and examine the concepts of Delta^m pointwise and Delta^m uniform statistical convergence of order alpha for double sequences of real valued functions. Also we give the concept of Delta^m statistically Cauchy sequence for double sequences of real valued functions and prove that it is equivalent to Delta^m pointwise statistical convergence of order alpha for double sequences of real valued functions. Also some relations between S_alpha^ 2(Delta^m,f )-statistical convergence and strong [w_p^2]_alpha (Delta^m,f )-summability are given.

#### Keywords

Statistical convergence; Cauchy sequence; summability

#### Keywords

Statistical convergence, Sequences of function, Cesàro summability

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#### References

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DOI: https://doi.org/10.22190/FUMI2002393C

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