New Sequence Spaces with Respect to a Sequence of Modulus Functions
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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