Some new sequence spaces defined by a modulus function

Ayhan Esi

Mathematica Slovaca (1999)

  • Volume: 49, Issue: 1, page 53-61
  • ISSN: 0232-0525

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Esi, Ayhan. "Some new sequence spaces defined by a modulus function." Mathematica Slovaca 49.1 (1999): 53-61. <http://eudml.org/doc/34485>.

@article{Esi1999,
author = {Esi, Ayhan},
journal = {Mathematica Slovaca},
keywords = {sequence space; modulus function; paranorm},
language = {eng},
number = {1},
pages = {53-61},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Some new sequence spaces defined by a modulus function},
url = {http://eudml.org/doc/34485},
volume = {49},
year = {1999},
}

TY - JOUR
AU - Esi, Ayhan
TI - Some new sequence spaces defined by a modulus function
JO - Mathematica Slovaca
PY - 1999
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 49
IS - 1
SP - 53
EP - 61
LA - eng
KW - sequence space; modulus function; paranorm
UR - http://eudml.org/doc/34485
ER -

References

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  1. BANACH S., Théorie des operations linearies, Chelsea, New York, 1932. (1932) 
  2. LORENTZ G. G., A contribution to the theory of divergent sequences, Acta Math. 80 (1948), 167-190. (1948) Zbl0031.29501MR0027868
  3. RUCKLE W. H., FK spaces in which the sequence of coordinate vectors in bounded, Canad. J. Math. 25 (1973), 973-978. (1973) MR0338731
  4. DAS G.-SAHOO S. K., On some sequence spaces, J. Math. Anal. Appl. 164 (1992), 381-388. (1992) Zbl0778.46011MR1151042
  5. ESI A., Some new Sequence Spaces Defined by a Modulus and Statistical Convergence, PhD Thesis, Firat University, Graduate School of Natural and Applied Sciences, Department of Mathematics, 1995 (Unpublished). (1995) 
  6. MADDOX I. J., Sequence spaces defined by a modulus, Math. Proc. Cambridge Philos. Soc. 100 (1986), 161-166. (1986) Zbl0631.46010MR0838663
  7. MADDOX I. J., Inclusion between FK spaces and Kuttner's theorem, Math. Proc. Cambridge Philos. Soc. 101 (1987), 523-527. (1987) MR0878899

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