Abstract
In this paper, we introduce a new type of statistical convergence method for double sequences by using the M , λ m , n -method of summability which was defined by Natarajan. We also obtain some inclusion relations between statistical convergence and M λ m , n -statistical convergence for double sequences.
Highlights
By l2∞, we denote the set of all bounded double sequences
We have Journal of Mathematics used it to prove a Korovkin-type approximation theorem as an application of our method
We acknowledge that the definition of Mλm,n-statistical convergence for double sequences was presented at the International Conference on Multidisciplinary, Engineering, Science, Education and Technology in 2017 [34]
Summary
By l2∞, we denote the set of all bounded double sequences. A double sequence x (xm,n) is said to be statistically convergent to L provided that, for every ε > 0, the set By st2, we denote the set of all statistically convergent double sequences. Let λ λm,n be a double sequence such that ∞ m,,n∞ 0|λm,n| < ∞.
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