Asymptotically Lacunary I-Invariant Statistical Equivalence of Sequences of Sets Defined By A Modulus Function

Authors : Erdinç DUNDAR, Nimet P AKIN, Uğur ULUSU

Pages : 1857-1862

Doi:10.16984/saufenbilder.445147

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Publication Date : 2018-12-01

Article Type : Research Paper

Abstract :In this paper, we introduce the concepts of strongly asymptotically lacunary  I-invariant equivalence, f -asymptotically lacunary I- invariant equivalence, strongly  f- asymptotically lacunary I- invariant equivalence and asymptotically lacunary I- invariant statistical equivalence for sequences of sets. Also, we investigate some relationships among these concepts.
Keywords : Asymptotic equivalence, modulus function, I convergence