On -summability of orthogonal series

Xhevat Z. Krasniqi

Mathematica Bohemica (2012)

  • Volume: 137, Issue: 1, page 17-25
  • ISSN: 0862-7959

Abstract

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In the paper, we prove two theorems on summability, , of orthogonal series. Several known and new results are also deduced as corollaries of the main results.

How to cite

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Krasniqi, Xhevat Z.. "On $|A, \delta |_{k}$-summability of orthogonal series." Mathematica Bohemica 137.1 (2012): 17-25. <http://eudml.org/doc/246412>.

@article{Krasniqi2012,
abstract = {In the paper, we prove two theorems on $|A, \delta |_\{k\}$ summability, $1\le k\le 2$, of orthogonal series. Several known and new results are also deduced as corollaries of the main results.},
author = {Krasniqi, Xhevat Z.},
journal = {Mathematica Bohemica},
keywords = {orthogonal series; matrix summability; orthogonal series; matrix summability},
language = {eng},
number = {1},
pages = {17-25},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On $|A, \delta |_\{k\}$-summability of orthogonal series},
url = {http://eudml.org/doc/246412},
volume = {137},
year = {2012},
}

TY - JOUR
AU - Krasniqi, Xhevat Z.
TI - On $|A, \delta |_{k}$-summability of orthogonal series
JO - Mathematica Bohemica
PY - 2012
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 137
IS - 1
SP - 17
EP - 25
AB - In the paper, we prove two theorems on $|A, \delta |_{k}$ summability, $1\le k\le 2$, of orthogonal series. Several known and new results are also deduced as corollaries of the main results.
LA - eng
KW - orthogonal series; matrix summability; orthogonal series; matrix summability
UR - http://eudml.org/doc/246412
ER -

References

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  1. Okuyama, Y., On the absolute Nörlund summability of orthogonal series, Proc. Japan Acad. 54 (1978), 113-118. (1978) Zbl0409.42004MR0493132
  2. Okuyama, Y., Tsuchikura, T., 10.1007/BF01908522, Anal. Math. 7 (1981), 199-208. (1981) Zbl0479.42008MR0635485DOI10.1007/BF01908522
  3. Tanaka, M., 10.1017/S0004972700008935, Bull. Austral. Math. Soc. 19 (1978), 381-402. (1978) Zbl0425.40004MR0536890DOI10.1017/S0004972700008935
  4. Okuyama, Y., On the absolute generalized Nörlund summability of orthogonal series, Tamkang J. Math. 33 (2002), 161-165. (2002) MR1897504
  5. Flett, T. M., On an extension of absolute summability and some theorems of Littlewood and Paley, Proc. London Math. Soc. 7 (1957), 113-141. (1957) Zbl0109.04402MR0086912
  6. Flett, T. M., Some more theorems concerning the absolute summability of Fourier series and power series, Proc. London Math. Soc. 8 (1958), 357-387. (1958) Zbl0109.04502MR0102693
  7. Lal, S., 10.1016/j.amc.2008.12.051, Appl. Math. Comput. 209 (2009), 346-350. (2009) Zbl1159.42302MR2493410DOI10.1016/j.amc.2008.12.051

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