3 publications
-
Published Subscription
Asymptotically Double Lacunary Equivalent Sequences Defined by Ideals and Orlicz FunctionsBy Ayhan Esi, M. Kemal Ozdemir
Abstract: AbstractIn the present manuscript, we are going to introduce some new definitions that are a generalization of those given by Esi in 2014 about asymptotically equivalent and Orlicz function with respect to an ideal. We established some sequence spaces and studied some inclusion relations about them. The results obtained in this study are more than those obtained by Esi in 2009 and 2014.Keywords: Pringsheim limit, Orlicz functions, equivalent sequencesCite this …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 4, Issue 2, 2017 · pp. 7–16 Read article →
-
Published Subscription
Some I-Convergent Difference Sequence Spaces Defined by a Sequence of Orlicz FunctionsBy Ayhan Esi, Mehmet Acikgoz, Ayten Esi
Abstract: In this paper, we introduce the di¤erence sequence spaces using a sequence of Orlicz functions. We study some properties of these sequence spaces like completeness, solidness, symmetricity, convergence free and some inclusion relations.
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 1, Issue 3, 2014 · pp. 32–38 Read article →
-
Published Subscription
On Some Triple Almost Lacunary Sequence Spaces Defined by Orlicz FunctionsBy Ayhan Esi
Abstract: In this paper we introduce the concept of almost lacunary strong convergent triple sequences with respect to an Orlicz function and examine some properties of these sequence spaces. We also introduce and study almost lacunary statistical convergence for triple sequences and also present some inclusion relations.
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 1, Issue 2, 2014 · pp. 16–25 Read article →