Double weighted mean methods equivalent to $(C,1,1)$
Copyright policy )Double weighted mean methods equivalent to $(C,1,1)$
Summary: We establish sufficient conditions for the double weighted mean matrices \((\overline N, p_{ij})\) and \((C,1,1)\), the double Cesàro matrix of order \((1,1)\), to be equivalent and absolutely equivalent of order \(k \geq 1\). The latter equivalence is proved only in the case where \(\{p_{ij}\}\) is factorable.
double Cesàro matrix, Cesàro, Euler, Nörlund and Hausdorff methods, Special methods of summability, comparison theorems, doubly infinite matrices, weighted means, Multiple sequences and series, double weighted mean matrices, Cesàro means
double Cesàro matrix, Cesàro, Euler, Nörlund and Hausdorff methods, Special methods of summability, comparison theorems, doubly infinite matrices, weighted means, Multiple sequences and series, double weighted mean matrices, Cesàro means
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