On Relationships between Norlund Means for Double Series1
نویسندگان
چکیده
where the s{j are the partial sums of a double series EM»./> which remain bounded for all (i, j). The necessary and sufficient conditions for regularity of Norlund means in the case of such double series have been given by C. N. Moore in Theorem II of Chapter II of his book4 entitled Summable series and convergence factors which will be subsequently referred to as S.S.C.F. In the case where the weights pa are non-negative real numbers, condition (10) of that theorem is obviously satisfied. Condition (11) takes the form
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