On the absolute summability factors of double infinite series.

S. N. Maheshwari

Bollettino dell'Unione Matematica Italiana (1961)

  • Volume: 16, Issue: 4, page 367-378
  • ISSN: 0392-4041

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Maheshwari, S. N.. "On the absolute summability factors of double infinite series.." Bollettino dell'Unione Matematica Italiana 16.4 (1961): 367-378. <http://eudml.org/doc/195549>.

@article{Maheshwari1961,
author = {Maheshwari, S. N.},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {series, summability},
language = {eng},
month = {12},
number = {4},
pages = {367-378},
publisher = {Zanichelli},
title = {On the absolute summability factors of double infinite series.},
url = {http://eudml.org/doc/195549},
volume = {16},
year = {1961},
}

TY - JOUR
AU - Maheshwari, S. N.
TI - On the absolute summability factors of double infinite series.
JO - Bollettino dell'Unione Matematica Italiana
DA - 1961/12//
PB - Zanichelli
VL - 16
IS - 4
SP - 367
EP - 378
LA - eng
KW - series, summability
UR - http://eudml.org/doc/195549
ER -

References

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  2. BROMWICH, T. J. I. A., On the limits of certain infinite series and integrals, «Mathematische Annalen», 65 (1908), 350-369. MR1511471JFM39.0309.01
  3. CHAPMAN, S., On non-integral orders of summability of series and integrals, «Proc. London Math. Soc.», (2), 9 (1910), 369-409. JFM42.0270.02
  4. CHENG, M. T., Summability factors of Fourier series, «Duke Math. Jour.» 15 (1948), 17-27. Zbl0030.24901MR24999
  5. CHOW, H. C., On the summability factors of fourier series, «Jour. London Math. Soc.», 16 (1941), 213-220. MR6762JFM67.1008.02
  6. CHOW, H. C., Note on convergence and summability factors, «Jour. London Math. Soc.», 29 (1954), 459-476. Zbl0057.05101MR65661
  7. EVERSULL, B. M., On convergence factors in triple series and the triple Fourier's series, «Annals of Math.», (2), 24 (1922-23), 141-166.  JFM49.0207.04
  8. HARDY, G. H., Divergent series, (Oxford), 1949. Zbl0032.05801MR30620
  9. MOORE, C. N., Summable series and convergence factors, «Amer. Math. Soc. Colloquim publication», 22 (1933), New-York. Zbl0019.01801MR201863
  10. PATI, T., The summability factors of infinite series, «Duke Math. Jour.», 21 (1954), 271-283. Zbl0057.30002MR62247
  11. PATI, T., On the absolute summability factors of infinite series, «Tohoku Math. Jour.», (2), 12 (1960), 222-232. Zbl0097.04604
  12. PRISAD, B. N., On summability of Fourier series and bounded variation of power series, «Proc. London Math. Soc.», (2), 35 (1933), 407-424. Zbl0007.16003
  13. SANSONE, G., Orthogonal functions, Revised English edition (1959). Zbl0084.06106MR103368
  14. SPRANGES, W. H., On the absolute Cesàro summability of double Fourier series, «Abstract Bull. Amer. Math. Soc.», R. N. 254. (1948).  
  15. TIMAN, M. F., On absolute summability of Fourier series in two variables, «Soobse Akad Nauk Gruzin S. S. R.», 17 (1956), 481-488 (Russian). Zbl0074.05402MR81383
  16. ZAK, I. E., Absolute summabihty of double numerical series, «Dokalady Akad. Nauk. S. S. S. R.», N. S. 73 (1950), 639-642 (Russian). Zbl0040.02701

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