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1. Lower Bounds of Copson Type for Hausdorff Matrices on Weighted Sequence Spaces

R. Lashkaripour

Volume 22, Issue 2 , Spring 2011, , Pages 153-157

Abstract
  Let = be a non-negative matrix. Denote by the supremum of those , satisfying the following inequality: where , , and also is increasing, non-negative sequence of real numbers. If we used instead of The purpose of this paper is to establish a Hardy type formula for , where is Hausdorff ...  Read More

2. Extension of Hardy Inequality on Weighted Sequence Spaces

R. Lashkaripour

Volume 20, Issue 2 , Spring 2009

Abstract
  Let and be a sequence with non-negative entries. If , denote by the infimum of those satisfying the following inequality: whenever . The purpose of this paper is to give an upper bound for the norm of operator T on weighted sequence spaces d(w,p) and lp(w) and also e(w,?). We considered ...  Read More