On the absolute harmonic summability of a double series related to a double Fourier series.

S. N. Maheshwari

Bollettino dell'Unione Matematica Italiana (1961)

  • Volume: 16, Issue: 3, page 221-237
  • ISSN: 0392-4041

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Maheshwari, S. N.. "On the absolute harmonic summability of a double series related to a double Fourier series.." Bollettino dell'Unione Matematica Italiana 16.3 (1961): 221-237. <http://eudml.org/doc/195546>.

@article{Maheshwari1961,
author = {Maheshwari, S. N.},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {approximation and series expansion},
language = {eng},
month = {9},
number = {3},
pages = {221-237},
publisher = {Zanichelli},
title = {On the absolute harmonic summability of a double series related to a double Fourier series.},
url = {http://eudml.org/doc/195546},
volume = {16},
year = {1961},
}

TY - JOUR
AU - Maheshwari, S. N.
TI - On the absolute harmonic summability of a double series related to a double Fourier series.
JO - Bollettino dell'Unione Matematica Italiana
DA - 1961/9//
PB - Zanichelli
VL - 16
IS - 3
SP - 221
EP - 237
LA - eng
KW - approximation and series expansion
UR - http://eudml.org/doc/195546
ER -

References

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  1. CHOW, Y. S., On the CESÀRO summability of double FOURIER series, «Tôhoku Math. Jour.», 5 (1953), 277-283. Zbl0057.30501MR61690
  2. GERGEN, J. J., Convergence criteria for double FOURIER series, «Tran. Amer. Math. Soc.», 35 (1933), 29-63. Zbl0006.11202MR1501671
  3. HARDY, G. H., and ROGOSINSKI, W. W., Notes on FOURIER series, IV. Summability (R2), «Proc. Camb. Phil. Soc.», 43 (1947), 10-25. Zbl0029.02505
  4. HERRIOT, J. G., The Nörlund summability of double FOURIER series, «Tran. Amer. Math. Soc.», 52 (1942), 72-94. Zbl0060.19101MR6766
  5. MERRIMAN, G. M., The convergence of double FOURIER series of certain type, «Bull. Amer. Math, Soc.», 34 (1928), 319-823. MR1561557JFM54.0303.03
  6. SHARMA, P. L., On harmonic summability of double POURIER series, «Proc. Amer. Math. Soc.», 9 (1958), 979-986. Zbl0104.28902MR104968
  7. TIMAN, M. F., On absolute summability of FOURIER series in two variables, Soobse Akad. Nauk Gruzin S.S.R., 17 (1956), 481-488. Zbl0074.05402MR81383
  8. TITCHMARSH, E. C., The theory of fonctions, Oxford, 1939. Zbl0005.21004JFM65.0302.01
  9. VARSHNEY, O. P., Thesis presented for the degree of Doctor of Philosophy of the University of Saugor, 1960. 
  10. YOUNG, W. H.. On multiple FOURIER series, «Proc. London Math. Soc.», 11 (1913), 133-184. JFM43.0325.01

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