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Inequalities involving upper bounds for certain matrix operators

  • R. Lashkaripour
  • D. Foroutannia
Article

Abstract

In this paper, we considered the problem of finding the upper bound Hausdorff matrix operator from sequence spaces lp(v) (ord(v, p)) intol p (w) (ord(w, p)). Also we considered the upper bound problem for matrix operators fromd(v, 1) intod(w, 1), and matrix operators frome(w, ∞) intoe(v, ∞), and deduce upper bound for Cesaro, Copson and Hilbert matrix operators, which are recently considered in [5] and [6] and similar to that in [10].

Keywords

Inequality norm summability matrix Hausdorff matrix Hilbert matrix weighted sequence space Lorentz sequence space 

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Copyright information

© Indian Academy of Sciences 2006

Authors and Affiliations

  1. 1.Department of MathematicsSistan and Baluchestan UniversityZahedanIran

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