Translativity of absolute weighted mean summability

Cihan Orhan

Czechoslovak Mathematical Journal (1998)

  • Volume: 48, Issue: 4, page 755-761
  • ISSN: 0011-4642

Abstract

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In this paper, we give necessary and sufficient conditions on ( p n ) for | R , p n | k , k ≥ 1 , to be translative. So we extend the known results of Al-Madi [1] and Cesco 4 to the case k > 1 .

How to cite

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Orhan, Cihan. "Translativity of absolute weighted mean summability." Czechoslovak Mathematical Journal 48.4 (1998): 755-761. <http://eudml.org/doc/30452>.

@article{Orhan1998,
abstract = {In this paper, we give necessary and sufficient conditions on $(p_n)$ for $| R,p_n| _k$, $k\ge 1$, to be translative. So we extend the known results of Al-Madi [1] and Cesco $\left[ 4\right] $ to the case $k>1$.},
author = {Orhan, Cihan},
journal = {Czechoslovak Mathematical Journal},
keywords = {translativity; absolute weighted means},
language = {eng},
number = {4},
pages = {755-761},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Translativity of absolute weighted mean summability},
url = {http://eudml.org/doc/30452},
volume = {48},
year = {1998},
}

TY - JOUR
AU - Orhan, Cihan
TI - Translativity of absolute weighted mean summability
JO - Czechoslovak Mathematical Journal
PY - 1998
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 48
IS - 4
SP - 755
EP - 761
AB - In this paper, we give necessary and sufficient conditions on $(p_n)$ for $| R,p_n| _k$, $k\ge 1$, to be translative. So we extend the known results of Al-Madi [1] and Cesco $\left[ 4\right] $ to the case $k>1$.
LA - eng
KW - translativity; absolute weighted means
UR - http://eudml.org/doc/30452
ER -

References

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  4. On the theory of linear transformations and the absolute summability of divergent series, Univ. Nac. La Plata. Publ. Fac. Cien. Fisicomat. Series 2, Revista 2 (1941), 147–156. (1941) MR0007062
  5. Infinite Matrices and Sequence Spaces, Macmillan Co., London, 1950. (1950) Zbl0040.02501MR0040451
  6. 10.4153/CMB-1982-060-5, Canad. Math. Bull. 25 (1982), 421–427. (1982) MR0674557DOI10.4153/CMB-1982-060-5
  7. 10.1524/anly.1994.14.1.57, Analysis 14 (1994), 57–65. (1994) MR1280529DOI10.1524/anly.1994.14.1.57
  8. 10.2307/1968603, Annals of Math. 38 (1937), 594–601. (1937) MR1503356DOI10.2307/1968603
  9. On equivalence of summability methods, Math. Slovaca 40 (1990), 171–175. (1990) Zbl0736.40002MR1094771
  10. Summability Theory and Applications, Prentice-Hall of India, New Delhi, 1988. (1988) 

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