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Journal : Epsilon: Jurnal Matematika Murni dan Terapan

MODULAR BLOK DI RUANG BARISAN TERJUMLAH CESARO ORLICZ Haryadi Haryadi
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol. 15(2), 2021
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (283.081 KB) | DOI: 10.20527/epsilon.v15i2.4330

Abstract

On the Cesaro summable of orde-p sequence space, if the fuction  is replaced by Orlicz function, it is not always easy to define norm in the space. In this paper, we study some properties of the Cesaro Orlicz summable sequence space. First, on the space we define a modular and its the luxemburg norm, and then some topological properties is explored. The results show that the sequence spaces is modular complete and nom complete. In addition, the space is a BK-space but not an AK-space. 
MATRIK TRANSFORMASI PADA RUANG BARISAN ORLICZ Haryadi Haryadi
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol. 16(2), 2022
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/epsilon.v16i2.6604

Abstract

In this study will be characterized a matrix that maps the space of the Orlicz sequence space to the space of the bounded sequence and the convergence sequence. This study is carried out by generalized the matrix mapping on lp  space, 1<=p<\infty, to the Orlicz sequence space. This results establishes a necessary and sufficient conditions for a matrix that maps the Orlicz sequence space to the bounded sequence space,  convergence to  sequence space and the convergence sequence space.