weighted mean operators
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Mathematica ◽  
2021 ◽  
Vol 63 (86) (2) ◽  
pp. 164-170
Author(s):  
Benaissa Bouharket ◽  
◽  
Mehmet Zeki Sarikaya ◽  

In this paper, we give some new generalizations of the weighted bilinear Hardy inequality by using certain weighted mean operators.


2000 ◽  
Vol 43 (4) ◽  
pp. 406-412 ◽  
Author(s):  
David Borwein

AbstractAbstract. The weightedmean matrix Ma is the triangular matrix {ak/An}, where an > 0 and An := a1 + a2 + … + an. It is proved that, subject to ncan being eventually monotonic for each constant c and to the existence of for 1 < p < ∞ if and only if α < p.


Author(s):  
B. E. Rhoades

AbstractIn a series of papers, the author has previously investigated the spectra and fine spectra for weighted mean matrices, considered as bounded operators over various sequence spaces. This paper examines the spectra of weighted mean matrices as operators over bνv0, the space of null sequences of bounded variation.


1987 ◽  
Vol 30 (4) ◽  
pp. 446-449 ◽  
Author(s):  
B. E. Rhoades

AbstractRecently J. B. Reade determined the spectrum of C, the Cesaro matrix of order 1, considered as an operator on c0, the space of null sequences. Previously F. P. A. Cass and the author had determined the spectra for a large class of weighted mean operators on c, the space of convergent sequences. Subsequently the author determined the fine spectra of these operators over c. This paper examines the spectra and fine spectra of weighted mean operators on c0, obtaining the result of Reade as a special case.


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