On the absolute Cesáro summability of factors of Fourier series

Singh Niranjan

Annales de l'institut Fourier (1968)

  • Volume: 18, Issue: 2, page 17-30
  • ISSN: 0373-0956

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Singh Niranjan. "On the absolute Cesáro summability of factors of Fourier series." Annales de l'institut Fourier 18.2 (1968): 17-30. <http://eudml.org/doc/73955>.

@article{SinghNiranjan1968,
author = {Singh Niranjan},
journal = {Annales de l'institut Fourier},
keywords = {approximation and series expansion},
language = {eng},
number = {2},
pages = {17-30},
publisher = {Association des Annales de l'Institut Fourier},
title = {On the absolute Cesáro summability of factors of Fourier series},
url = {http://eudml.org/doc/73955},
volume = {18},
year = {1968},
}

TY - JOUR
AU - Singh Niranjan
TI - On the absolute Cesáro summability of factors of Fourier series
JO - Annales de l'institut Fourier
PY - 1968
PB - Association des Annales de l'Institut Fourier
VL - 18
IS - 2
SP - 17
EP - 30
LA - eng
KW - approximation and series expansion
UR - http://eudml.org/doc/73955
ER -

References

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  1. [1] Z. U. AHMAD, On the absolute Cesàro summability factors of a Fourier series, Jour. Indian Math. Soc., 26 (1962), 141-165. Zbl0108.06302
  2. [2] L. S. BOSANQUET and H. C. CHOW, Some remarks on convergence and summability factors, J. London Math. Soc., 32 (1957), 73-82. Zbl0077.06501MR18,733c
  3. [3] MIN-TEH CHENG, Summability factors of Fourier series, Duke Math. Jour., 15 (1948), 17-27. Zbl0030.24901MR9,580d
  4. [4] G. D. DIKSHIT, On the absolute summability factors of a Fourier series and its conjugate series, Bull. Calcutta Math. Soc. Supplement, 1958 (1960), 42-53. Zbl0100.06303MR24 #A3471
  5. [5] S. IZUMI and T. KAWATA, Notes on Fourier Analysis III : Absolute summability, Proc. Imperial Academy (Tokyo), 14 (1938), 32-35. Zbl0019.20703JFM64.1041.03
  6. [6] E. KOGBETLIANTZ, Sur les séries absolument sommables par la méthode des moyennes arithmétiques, Bull. des Sc. Math. (2), 49 (1925), 234-256. Zbl51.0182.01JFM51.0182.01
  7. [7] E. KOGBETLIANTZ, Sommation des séries et intégrales divergentes par les moyennes arithmétiques, Mémorial des Sc. Math., No. 51 (1931). Zbl0003.00701JFM57.1376.02
  8. [8] T. PATI, Summability factors of infinite series, Duke Math. J., 21 (1954), 271-284. Zbl0057.30002MR15,950e
  9. [9] T. PATI, On the absolute Riesz summability of Fourier series and its conjugate series, Trans. American Math. Soc., 76 (1954), 351-374. Zbl0057.30101MR15,952d
  10. [10] T. PATI, On an unsolved problem in the theory of absolute summability factors of Fourier series, M.Z., 82 (1963), 106-114. Zbl0122.31201MR28 #417
  11. [11] T. PATI and S. R. SINHA, On the absolute summability factors of Fourier series, Indian J. Math., 1 (1958), 41-54. Zbl0088.27601MR22 #2837
  12. [12] B. N. PRASAD, On the summability of Fourier series and the bounded variation of power series, Proc. London Math. Soc. (2), 35 (1933), 407-424. Zbl0007.16003JFM59.0294.03
  13. [13] P. SRIVASTAVA, Strong summability of Fourier series and the series conjugate, to it, Proc. of National Inst. Sc. (India) Allahabad, 27 (1958), 45-74. 
  14. [14] N. SINGH, On the absolute Cesàro Summability factors of Fourier series (to appear in Rivista di Matematica). Zbl0195.35302

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