• Inequalities involving upper bounds for certain matrix operators

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      https://www.ias.ac.in/article/fulltext/pmsc/116/03/0325-0336

    • Keywords

       

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

    • Abstract

       

      In this paper, we considered the problem of finding the upper bound Hausdorff matrix operator from sequence spaces lp(v) (ord(v, p)) intolp(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].

    • Author Affiliations

       

      R Lashkaripour1 D Foroutannia1

      1. Department of Mathematics, Sistan and Baluchestan University, Zahedan, Iran
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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