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Some inequalities involving upper bounds for some matrix operators I

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Abstract

In this paper we consider the problem of finding upper bounds of certain matrix operators such as Hausdorff, Nörlund matrix, weighted mean and summability on sequence spaces l p(w) and Lorentz sequence spaces d(w, p), which was recently considered in [9] and [10] and similarly to [14] by Josip Pecaric, Ivan Peric and Rajko Roki. Also, this study is an extension of some works by G. Bennett on l p spaces, see [1] and [2].

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Authors and Affiliations

  1. Dept. of Math., 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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Lashkaripour, R., Foroutannia, D. Some inequalities involving upper bounds for some matrix operators I. Czech Math J 57, 553–572 (2007). https://doi.org/10.1007/s10587-007-0097-x

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  • DOI: https://doi.org/10.1007/s10587-007-0097-x

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