Abstract
It is well known that there are sequences that are summable by every Cesàro method C r ( r > 0 ) {C_r}\;(r > 0) but are not summable by any Euler method E p ( 0 > p > 1 ) {E_p}\;(0 > p > 1) . It is proved here that on the other hand there are sequences that are summable by every Euler method E p ( 0 > p > 1 ) {E_p}\;(0 > p > 1) but are not summable by any Cesaro method.
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