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Dikshit, H. P.

On the absolute Nörlund summability of a Fourier series and its conjugate series. (English) Zbl 0169.07901

Kōdai Math. Semin. Rep. 20, 448-453 (1968).
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Cited in 4 Documents

Keywords:

approximation and series expansion
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\textit{H. P. Dikshit}, Kōdai Math. Semin. Rep. 20, 448--453 (1968; Zbl 0169.07901)
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References:

[1] BOSANQUET, L. S., Note on the absolute summability (C) of a Fourier series. Jour. London Math. Soc. 11 (1936), 11-15. Zentralblatt MATH: · Zbl 0013.26003 · doi:10.1112/jlms/s1-11.1.11
[2] BOSANQUET, L. S., AND J. M. HYSLOP, On the absolute summability of the allie series of a Fourier series. Math. Z. 42 (1937), 489-512. Zentralblatt MATH: · Zbl 0016.21002 · doi:10.1007/BF01160091
[3] DIKSHIT, H. P., Absolute summability of Fourier series by Norjundmeans, Forthcoming in Math. Z. · Zbl 0158.31102 · doi:10.1007/BF01112083
[4] DIKSHIT, H. P., On the absolute Norland summability of the conjugate series of a Fourie series. Forthcoming in Rend, di Palermo. · Zbl 0193.03201 · doi:10.1007/BF02844135
[5] MEARS, F. M., Some multiplication theorems for the Nrlund means. Bull. Amer Math. Soc. 41 (1935), 875-880. Zentralblatt MATH: · Zbl 0013.26104 · doi:10.1090/S0002-9904-1935-06212-3
[6] NORLUND, N. E., Sur une application des functions permutables. Lunds Univ Arsskrift (2) 16 (1919), No. 3.
[7] PATI, T., On the absolute Nrlund summability of a Fourier series. Jour. Londo Math. Soc. 34 (1959), 153-160. · Zbl 0090.28204 · doi:10.1112/jlms/s1-34.2.153
[8] PATI, T., Addendum: On the absolute Nrlund summability of a Fourier series Jour. London Math. Soc. 37 (1962), 256. · Zbl 0112.29503 · doi:10.1112/jlms/s1-37.1.256-s
[9] PATI, T., On the absolute Nrlund summability of the conjugate series of Fourier series. Jour. London Math. Soc. 38 (1963), 204-214. · Zbl 0123.26302 · doi:10.1112/jlms/s1-38.1.204
[10] PATI, T., On the absolute summability of Fourier series by Nrlund means. Math Z., 8 (1965), 244-249. · Zbl 0154.06201 · doi:10.1007/BF01111682
[11] PATI, T., AND H. P. DIKSHIT, On the absolute Nrlund summability of a Fourier series at a point. Communicated.
[12] SI-LEI, W., (W. SZU-LEI), On the absolute Nrlund summability of Fourier series and its conjugate series. Acta Math. Sinica 15 (1965), 559-573 and Chinese Math. (Translation of Acta Math. Sinica) (1965), 281-295. · Zbl 0181.06903
[13] VARSHNEY, O. P., On the absolute Nrlund summability of a Fourier series Math. Z. 83 (1964), 18-24. · Zbl 0116.27802 · doi:10.1007/BF01111101
[14] WERONOI, G. F., Extension of the notion of limit of the sum of terms of a infinite series. Annals of Math. 33 (1932), 422-428. · Zbl 0005.06201 · doi:10.2307/1968525
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