On a class of difference sequences related to the ℓ p space defined by Orlicz functions

Binod Chandra Tripathy; Sabita Mahanta

Mathematica Slovaca (2007)

  • Volume: 57, Issue: 2, page [171]-178
  • ISSN: 0232-0525

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Tripathy, Binod Chandra, and Mahanta, Sabita. "On a class of difference sequences related to the $\ell ^p$ space defined by Orlicz functions." Mathematica Slovaca 57.2 (2007): [171]-178. <http://eudml.org/doc/34637>.

@article{Tripathy2007,
author = {Tripathy, Binod Chandra, Mahanta, Sabita},
journal = {Mathematica Slovaca},
keywords = {completeness; Orlicz function; difference sequence space; solid space; symmetric space},
language = {eng},
number = {2},
pages = {[171]-178},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On a class of difference sequences related to the $\ell ^p$ space defined by Orlicz functions},
url = {http://eudml.org/doc/34637},
volume = {57},
year = {2007},
}

TY - JOUR
AU - Tripathy, Binod Chandra
AU - Mahanta, Sabita
TI - On a class of difference sequences related to the $\ell ^p$ space defined by Orlicz functions
JO - Mathematica Slovaca
PY - 2007
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 57
IS - 2
SP - [171]
EP - 178
LA - eng
KW - completeness; Orlicz function; difference sequence space; solid space; symmetric space
UR - http://eudml.org/doc/34637
ER -

References

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  2. ET M., On Some new Orlicz sequence spaces, J. Anal. 9 (2001), 21-28. Zbl1019.46015MR1884659
  3. ET M.-NURAY F., Δ m -statistical convergence, Indian J. Pure Appl Math. 32 2001 961-969. Zbl1241.54002MR1848005
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  5. LINDENSTRAUSS J.-TZAFRIRI L., On Orlicz sequence spaces, Isreal J. Math. 10 (1971), 379-390. (1971) Zbl0227.46042MR0313780
  6. MURSALEEN-KHAN A. M.-QAMARUDDIN, Difference sequence spaces defined Orlicz function, Demonstratio Math. 32 (1999), 145-150. (1999) MR1691724
  7. NAKANO H., Concave modulars, J. Math. Soc. Japan 5 (1953), 29-49. (1953) Zbl0050.33402MR0058882
  8. NURAY F.-GULCU A., Some new sequence spaces defined by Orlicz functions, Indian J. Pure Appl. Math. 26 (1995), 1169-1176. (1995) Zbl0852.46007MR1364737
  9. PARASHAR S. D.-CHOUDHARY B., Sequence spaces defined by Orlicz functions, Indian J. Pure Appl. Math. 25 (1994), 419-428. (1994) Zbl0802.46020MR1272814
  10. RATH D.-TRIPATHY B. C., Characterization of certain matrix operations, J. Orissa Math. Soc. 8 (1989), 121-134. (1989) 
  11. RUCKLE W. H., FK spaces in which the sequence of coordinate vector is bounded, Canad. J. Math. 25 (1973), 973-978. (1973) MR0338731
  12. SARGENT W. L. C., Some sequence spaces related to ℓ p spaces, J. London Math Soc. 2 35 (1960), 161-171. (1960) MR0116206
  13. TRIPATHY B. C., Matrix maps on the power series convergent on the unit disc, J. Anal. 6 (1998), 27-31. (1998) Zbl0919.40004MR1671144
  14. TRIPATHY B. C.-SEN M., On a new class of sequences related to the space ℓ p , Tamkang J. Math. 33 (2002), 167-171. Zbl1005.46002MR1897505
  15. TRIPATHY B. C.-MAHANTA S., On a class of sequences related to the ℓ p space defined by Orlicz functions, Soochow J. Math. 29 (2003), 379-391. MR2021538

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