On the absolute Nörlund summability factors of infinite series

Author:
S. M. Mazhar

Journal:
Proc. Amer. Math. Soc. **32** (1972), 233-236

MSC:
Primary 40.31

MathSciNet review:
0288452

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Abstract: A general theorem on absolute Nörlund summability factors of infinite series has been obtained. The theorem includes, as special cases, a number of well-known results. Several new results can also be deduced from it.

**[1]**G. Das, V. P. Srivastava, and R. N. Mohapatra,*On absolute summability factors of infinite series*, J. Indian Math. Soc. (N.S.)**31**(1967), 189–200 (1968). MR**0246015****[2]**R. N. Mohapatra,*A note on summability factors*, J. Indian Math. Soc. (N.S.)**31**(1967), 213–224 (1968). MR**0243232****[3]**Nand Kishore,*On the absolute Nörlund summability factors*, Riv. Mat. Univ. Parma (2)**6**(1965), 129–134. MR**0217475****[4]**Alexander Peyerimhoff,*Summierbarkeitsfaktoren für absolut Cesàro-summierbare Reihen*, Math. Z.**59**(1954), 417–424 (German). MR**0060038****[5]**Gen-ichirô Sunouchi,*Notes on Fourier analysis. XVIII. Absolute summability of series with constant terms*, Tôhoku Math. J. (2)**1**(1949), 57–65. MR**0034861**

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Additional Information

DOI:
http://dx.doi.org/10.1090/S0002-9939-1972-0288452-4

Keywords:
Nörlund summability,
summability factors,
absolute summability,
infinite series

Article copyright:
© Copyright 1972
American Mathematical Society