SIFAT-FK RUANG BARISAN CESARO ORLICZ

The Cesaro sequence space , ( , which is the FK-space, has been generalized to the Cesaro-Orlicz sequence space . This prompted the study of several properties in that have been known in . In this paper, the properties of completeness and FK-properties in the Cesaro-Orlicz space are discussed. For this discussion, a modular approach is used. The results of the study show that the space is a convex modular space. This sequence space is also complete to the Luxemburg norm and has K-properties. Furthermore, this space is a BK-space. These results can be used to study the Kothe-Toeplitz dual, which is an important part of the transformation of the infinite matrix

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Journal
JURNAL MATEMATIKA MURNI DAN TERAPAN EPSILON
Published
2024-11-29
DOI
https://doi.org/10.20527/epsilon.v18i2.13899
Primary Topic
Approximation Theory and Sequence Spaces
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article
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article

SIFAT-FK RUANG BARISAN CESARO ORLICZ

Haryadi Haryadi
JURNAL MATEMATIKA MURNI DAN TERAPAN EPSILON
Approximation Theory and Sequence Spaces
article

SIFAT-FK RUANG BARISAN CESARO ORLICZ

Haryadi Haryadi
article en

Abstract

The Cesaro sequence space , ( , which is the FK-space, has been generalized to the Cesaro-Orlicz sequence space . This prompted the study of several properties in that have been known in . In this paper, the properties of completeness and FK-properties in the Cesaro-Orlicz space are discussed. For this discussion, a modular approach is used. The results of the study show that the space is a convex modular space. This sequence space is also complete to the Luxemburg norm and has K-properties. Furthermore, this space is a BK-space. These results can be used to study the Kothe-Toeplitz dual, which is an important part of the transformation of the infinite matrix

JURNAL MATEMATIKA MURNI DAN TERAPAN EPSILONVol. 18(2)
Universitas Muhammadiyah Palangkaraya (ID)
Sustainable cities and communities
Openalex Percentile: Top 75%
Approximation Theory and Sequence Spaces
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