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Conservative matrices in summability of series
Das  introduced the class of absolute kth-power conservative matrices for k ≥ 1, denoted by B (A k ) . In the present paper, we generalize the class B (A k ) to a general one named B α n , β n ; γ n , δ n ; ϕ and give some sufficient conditions for a matrix belongs to the new class B α n , β n ; γ n , δ n ; ϕ when ϕ is convex. As applications of the general result, we investigate the conservatives of Cesáro matrices and Riesz matrices.doi:10.2298/fil1505085y fatcat:untlvj3klnbjzkax7swy4nj7mq