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Multiplication theorems for strong Nörlund summability. (English) Zbl 0162.35701


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[1] Borwein, D., and F. P. Cass: Strong Nörlund summability. Math. Zeitschr.103, 94-111 (1968). · Zbl 0157.38001 · doi:10.1007/BF01110621
[2] Borwein, D.: On strong and absolute summability. Proc. Glasgow Math. Assoc.4, 122-139 (1960). · Zbl 0144.31203 · doi:10.1017/S2040618500034043
[3] Boyd, A. V.: Multiplication of strongly summable series. Proc. Glasgow Math. Assoc.4, 29-33 (1959-60). · Zbl 0084.05802 · doi:10.1017/S2040618500033815
[4] Hardy, G. H.: Divergent series (Oxford) (1949).
[5] Mears, F. M.: Absolute regularity and the Nörlund mean. Annals of Math.38, 594-601 (1937). · Zbl 0017.16201 · doi:10.2307/1968603
[6] Miesner, W.: The convergence fields of Nörlund means. Proc. London Math. Soc. (3)15, 495-507 (1965). · Zbl 0131.05602 · doi:10.1112/plms/s3-15.1.495
[7] Nörlund, N. E.: Lunds Universitets Årsskrift (2)16, No. 3 (1920).
[8] Tamarkin: Extension of the notion of the limit of the sum of terms of an infinite series (G. F. Woronoi). Annals of Math. (2)33, 422-428 (1932). · Zbl 0005.06201
[9] Winn, C. E.: On strong summability for any positive order. Math. Z.37, 481-492 (1933). · Zbl 0007.34603 · doi:10.1007/BF01474589
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