Lower bound for matrix operators on the Euler weighted sequence space $e_{w,p}^{\theta}$ (0&lt;p&lt;1)

Lashkaripour, Rahmatollah; Talebi, Gholamreza

doi:10.1007/s12215-011-0067-x

Cited by 9 publications

(5 citation statements)

References 12 publications

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“…In continue, we apply our results to some special generalized Hausdorff matrices such as generalized Gamma, generalized Hölder, generalized Cesàro and generalized Euler matrices. Our results provide some analogue to those given in [9] and [10].…”

Section: Introductionsupporting

confidence: 85%

Approximation of lower bound for matrix operators on the weighted sequence space $C_{p}^r(w)(p \in (0,1))$

Talebi¹,

Salmei²

2015

Ann. Funct. Anal.

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Section: Introductionsupporting

confidence: 85%

Approximation of lower bound for matrix operators on the weighted sequence space $C_{p}^r(w)(p \in (0,1))$

Talebi¹,

Salmei²

2015

Ann. Funct. Anal.

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“…Moreover, Foroutannia and Roopaei consider the problem of computing the norm and lower‐upper bounds for certain operators on weighted difference sequence spaces. There are several papers related to this problem on some classical sequence spaces such as the papers …”

Section: Introductionmentioning

confidence: 99%

“…There are several papers related to this problem on some classical sequence spaces such as the papers. [31][32][33][34][35][36][37] Throughout this paper, we assume that w = (w n ) andw = (w n ) are sequences in with positive terms. In this paper, we introduce a new space called Fibonacci weighted difference sequence space by using a Fibonacci difference matrix and examine some topological properties of this space.…”

Section: Introductionmentioning

confidence: 99%

Norms and lower bounds of some matrix operators on Fibonacci weighted difference sequence space

İlkhan

2018

Math Methods in App Sciences

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Norm of an operator T:X→Y is the best possible value of U satisfying the inequality ‖Txfalse‖Y≤U‖xfalse‖X, and lower bound for T is the value of L satisfying the inequality ‖Txfalse‖Y≥L‖xfalse‖X, where ‖.‖X and ‖.‖Y are the norms on the spaces X and Y, respectively. The main goal of this paper is to compute norms and lower bounds for some matrix operators from the weighted sequence space ℓp(w) into a new space called as Fibonacci weighted difference sequence space. For this purpose, we firstly introduce the Fibonacci difference matrix trueF˜ and the space consisting of sequences whose trueF˜‐transforms are in ℓpfalse(truew˜false).

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“…Futhermore, Foroutannia and Roopaei [27] take into consideration the problem of calculating both the norm and lower-upper bounds for some operators defined on weighted difference sequence spaces. One can refer to those papers [28][29][30][31][32][33][34] and those therein for related problems about some classical sequence spaces.…”

Section: Introductionmentioning

confidence: 99%

Some Characteristics of Matrix Operators on Generalized Fibonacci Weighted Difference Sequence Space

Candan

2022

Symmetry

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The forthcoming property of this manuscript is its calculating of the goal of norms and lower bounds of matrix operators taken from the weighted sequence space ℓp(w) onto a novel one defined in the present article as the generalized Fibonacci weighted difference sequence space. In this process, first of all the Fibonacci difference matrix F˜(r,s) and the space composed of sequences of which F˜(r,s)-transforms lie in ℓp(w˜), where r,s∈R are defined. Additionaly, since the seminormed space ℓp(w˜,F˜(r,s)) has the absolute homogeneous property, the topological characteristics on it are distributed symmetrically everywhere in the space.

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Lower bound for matrix operators on the Euler weighted sequence space $e_{w,p}^{\theta}$ (0<p<1)

Cited by 9 publications

References 12 publications

Approximation of lower bound for matrix operators on the weighted sequence space $C_{p}^r(w)(p \in (0,1))$

Approximation of lower bound for matrix operators on the weighted sequence space $C_{p}^r(w)(p \in (0,1))$

Norms and lower bounds of some matrix operators on Fibonacci weighted difference sequence space

Some Characteristics of Matrix Operators on Generalized Fibonacci Weighted Difference Sequence Space

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