<abstract xmlns="http://www.w3.org/1999/xhtml">

In the present paper we introduce the sequence spaces c0{ℳ, Λ , p, q}, c{ℳ, Λ, p, q} and <italic>l</italic>∞ {ℳ, Λ, p, q} defined by a Musielak-Orlicz function ℳ = (ℳk). We study some topological properties and prove some inclusion relations between these spaces.
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In the present paper we introduce the sequence spaces c0{ℳ, Λ , p, q}, c{ℳ, Λ, p, q} and l∞ {ℳ, Λ, p, q} defined by a Musielak-Orlicz function ℳ = (ℳk). We study some topological properties and prove some inclusion relations between these spaces.

Some classes of sequence spaces defined by a Musielak-Orlicz function

Acta Universitatis Sapientiae, Mathematica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"Some classes of sequence spaces defined by a Musielak-Orlicz function"}

In the present paper we introduce the sequence spaces c0{ℳ, Λ , p, q}, c{ℳ, Λ, p, q} and l∞ {ℳ, Λ, p, q} defined by a Musielak-Orlicz function ℳ = (ℳk). We...

Some classes of sequence spaces defined by a Musielak-Orlicz function

Published Online: Dec 30, 2021

Page range: 494 - 505

DOI: https://doi.org/10.2478/ausm-2021-0031

Keywords
Orlicz function, Musielak-Orlicz function, paranorm space, sequence space

© 2021 Sunil K. Sharma, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Some classes of sequence spaces defined by a Musielak-Orlicz function

Published Online: Dec 30, 2021

Page range: 494 - 505

DOI: https://doi.org/10.2478/ausm-2021-0031

KeywordsOrlicz function, Musielak-Orlicz function, paranorm space, sequence space

© 2021 Sunil K. Sharma, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
Orlicz function, Musielak-Orlicz function, paranorm space, sequence space