Matrix Operators on the Absolute Euler space $leftvert E

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Turkish Journal of Mathematics and Computer Science
Volume:14 Issue:1
Matrix Operators on the Absolute Euler space $leftvert E_{phi }^{r}rightvert (mu)$

Matrix Operators on the Absolute Euler space $leftvert E_{phi }^{r}rightvert (mu)$

Pages : 117-123

View : 33 | Download : 11

Publication Date : 2022-06-30

Article Type : Research Paper

Abstract :In recent paper, the space $ \left\vert E_{\phi}^{r}\right\vert insert ignore into journalissuearticles values(\mu);$ which is the generalization of the absolute Euler Space on the space $linsert ignore into journalissuearticles values(\mu);$, has been introduced and studied by Gökçe and Sarıgöl [3]. In this study, we give certain characterizations of matrix transformations from the paranormed space $ \left\vert E_{\phi}^{r}\right\vert insert ignore into journalissuearticles values(\mu);$ to one of the classical sequence spaces $c_{0},c,l_{\infty }.$ Also, we show that such matrix operators are bounded linear operators.
Keywords : Euler means, absolute summability, matrix transformations

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