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Inequalities involving upper bounds for certain matrix operators

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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].

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Authors and Affiliations

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

    R. Lashkaripour & D. Foroutannia

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  1. R. Lashkaripour
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  2. D. Foroutannia
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Correspondence to R. Lashkaripour.

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Lashkaripour, R., Foroutannia, D. Inequalities involving upper bounds for certain matrix operators. Proc. Indian Acad. Sci. (Math. Sci.) 116, 325–336 (2006). https://doi.org/10.1007/BF02829749

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  • DOI: https://doi.org/10.1007/BF02829749

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