New Sequence Spaces with Respect to a Sequence of Modulus Functions
Keywords:
Lacunary invariant statistical convergence, Invariant statistical convergence, modulus function.Abstract
In this paper, we introduce the notions of -invariant convergence, -invariant convergence with respect to a sequence of modulus functions and establish some basic theorems. Furthermore, we give some properties of -Cauchy sequence and -Cauchy sequence. We basically study some connections between -invariant statistical convergence and -invariant lacunary statistical convergence with respect to a sequence of modulus functions and between strongly -invariant convergence and -invariant lacunary statistical convergence with respect to a sequence of modulus functions. Also, we establish some inclusion relations between new concepts of statistically convergence and –invariant statistically convergence with respect to a sequence of modulus functions.
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