Computation of matrix operators bounds with applying new extension of hardy inequality on weighted sequence spaces I

Lashkaripour, Rahmatollah; Foroutannia, D.

doi:10.1134/s1995080209010065

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Hausdorff Matrix Operator1

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Cited by 2 publications

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“…In particular, we apply our results to the Cesàro matrices, Hölder matrices and Gamma matrices which were recently considered in [2], [4], [5], [6], and [8] on the ℓ p spaces and in [7], [10], [11], [12] on the usual weighted sequence spaces ℓ p (v).…”

Section: Hausdorff Matrix Operatormentioning

confidence: 99%

Lower bound and upper bound of operators on block weighted sequence spaces

Lashkaripour

Talebi

2012

Czech Math J

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Section: Hausdorff Matrix Operatormentioning

confidence: 99%

Lower bound and upper bound of operators on block weighted sequence spaces

Lashkaripour

Talebi

2012

Czech Math J

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Lower bound for the norm of lower triangular matrices on block weighted sequence spaces

Lashkaripour¹,

Talebi²

2011

Journal of Mathematical Inequalities

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Let 1 < p < ∞ and A = (a n,k) n,k 1 be a non-negative matrix. Denote by A w,p,F , the infimum of those U satisfying the following inequality: Ax w,p,F U x w,p,I , where x 0 and x ∈ l p (w,I) and also w = (w n) ∞ n=1 is a decreasing, non-negative sequence of real numbers. The purpose of this paper is to give a lower bound for A w,p,F , where A is a lower triangular matrix. In particular, we apply our results to Weighted mean matrices and Nörlund matrices which recently considered in [2,3,6] on the usual sequence spaces. Our results generalize some work of Jameson, Lashkaripour, Frotannia and Chen in [4,7,8].

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Computation of matrix operators bounds with applying new extension of hardy inequality on weighted sequence spaces I

Cited by 2 publications

References 6 publications

Lower bound and upper bound of operators on block weighted sequence spaces

Lower bound and upper bound of operators on block weighted sequence spaces

Lower bound for the norm of lower triangular matrices on block weighted sequence spaces

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