Equisummability Theorems for Laguerre Series

Abd El-Aal El-Adad, El-Sayed

Serdica Mathematical Journal (1996)

  • Volume: 22, Issue: 1, page 1-24
  • ISSN: 1310-6600

Abstract

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Here we prove results about Riesz summability of classical Laguerre series, locally uniformly or on the Lebesgue set of the function f such that (∫(1 + x)^(mp) |f(x)|^p dx )^(1/p) < ∞, for some p and m satisfying 1 ≤ p ≤ ∞, −∞ < m < ∞.

How to cite

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Abd El-Aal El-Adad, El-Sayed. "Equisummability Theorems for Laguerre Series." Serdica Mathematical Journal 22.1 (1996): 1-24. <http://eudml.org/doc/11624>.

@article{AbdEl1996,
abstract = {Here we prove results about Riesz summability of classical Laguerre series, locally uniformly or on the Lebesgue set of the function f such that (∫(1 + x)^(mp) |f(x)|^p dx )^(1/p) < ∞, for some p and m satisfying 1 ≤ p ≤ ∞, −∞ < m < ∞.},
author = {Abd El-Aal El-Adad, El-Sayed},
journal = {Serdica Mathematical Journal},
keywords = {Riesz Summability; Laguerre Series; Lebesgue points; Riesz summability; Laguerre series; Lebesgue set},
language = {eng},
number = {1},
pages = {1-24},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Equisummability Theorems for Laguerre Series},
url = {http://eudml.org/doc/11624},
volume = {22},
year = {1996},
}

TY - JOUR
AU - Abd El-Aal El-Adad, El-Sayed
TI - Equisummability Theorems for Laguerre Series
JO - Serdica Mathematical Journal
PY - 1996
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 22
IS - 1
SP - 1
EP - 24
AB - Here we prove results about Riesz summability of classical Laguerre series, locally uniformly or on the Lebesgue set of the function f such that (∫(1 + x)^(mp) |f(x)|^p dx )^(1/p) < ∞, for some p and m satisfying 1 ≤ p ≤ ∞, −∞ < m < ∞.
LA - eng
KW - Riesz Summability; Laguerre Series; Lebesgue points; Riesz summability; Laguerre series; Lebesgue set
UR - http://eudml.org/doc/11624
ER -

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