
doi: 10.7153/jca-10-07
Summary: In this research paper, we pioneer a new double sequence space called Orlicz-Quasi-Cauchy double sequence space, \((M,A,\Delta)_{OQC}\). We investigate continuity type properties of Orlicz double function defined on a double subset \(A\times A\) of \(\mathbb{R}^2\) into \(\mathbb{R}\) and study some vital results related to uniform continuity. In the last we also make an attempt to prove some topological properties of \((M,A,\Delta)_{OQC}\).
uniformity continuity, Orlicz function, Convergence and divergence of series and sequences, difference sequence spaces, Banach sequence spaces, Sequence spaces (including Köthe sequence spaces), quasi-Cauchy sequences, \(RH\)-regular matrix
uniformity continuity, Orlicz function, Convergence and divergence of series and sequences, difference sequence spaces, Banach sequence spaces, Sequence spaces (including Köthe sequence spaces), quasi-Cauchy sequences, \(RH\)-regular matrix
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