\((P_ n,s)\)-absolute almost convergent sequences (Q1355696)

Using a condition of \textit{H. Bor} [Proc. Am. Math. Soc. 98, 81-84 (1986; Zbl 0601.40004)], the authors generalize the concept of \textit{H. Çakalli} [Pure Appl. Math. Sci. 27, No. 1/2, 13-19 (1988; Zbl 0656.40001)] of \(s\)-absolute almost convergence to \((P_n,s)\)-absolute almost convergence and investigate \((P_n,s)\)-absolutely almost conservative matrices. They generalize their result to \((\lambda_n,s)\)-absolutely almost conservativity of a matrix transformation.