In this note we consider inequalities of the form //Ax//omega .q less than
or equal to lambda//Bx//v.p, where A and B are matrices or integral operato
rs, x decreasing sequence or function and omega and v are weights. Obtained
results are generalizations of results of G, Bennett [Linear Algebra Appl.
82 (1986) 81] and P.E. Renaud [Bull. Aust. Math. Soc. 34(1986) 225]. (C) 2
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