Abstract
The purpose of this paper is to introduce and study some sequence spaces which are defined by combining the concepts of sequences of Musielak-Orlicz functions, invariant means and lacunary convergence on 2-norm space. We establish some inclusion relations between these spaces under some conditions.
Highlights
Let ω be the set of all sequences of real numbers ∞, c and c0 be respectively the Banach spaces of bounded, convergent and null sequences x = with ∈ or the usual norm x = supk xk, where k ∈ =1, 2,3, the positive integers.The idea of difference sequence spaces was first introduced by Kizmaz [1] and the concept was generalized by Et and Çolak [2]
Later on Et and Esi [3] extended the difference sequence spaces to the sequence spaces:
Lindenstrauss and Tzafriri [12] used the idea of Orlicz function and defined the sequence space which was called an Orlicz sequence space M such as
Summary
Let ω be the set of all sequences of real numbers ∞ , c and c0 be respectively the Banach spaces of bounded, convergent and null sequences x = ( xk ) with ( xk ) ∈ or the usual norm x = supk xk , where k ∈ =1, 2,3, , the positive integers. (2014) Some Lacunary Sequence Spaces of Invariant Means Defined by Musielak-Orlicz Functions on 2-Norm Space. Lindenstrauss and Tzafriri [12] used the idea of Orlicz function and defined the sequence space which was called an Orlicz sequence space M such as
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
