Statistically σ -multiplicative matrices and some inequalities

Mohammad Mursaleen; Osama Edely; Aiman Mukheimer

Mathematica Slovaca (2004)

  • Volume: 54, Issue: 3, page 281-289
  • ISSN: 0139-9918

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Mursaleen, Mohammad, Edely, Osama, and Mukheimer, Aiman. "Statistically $\sigma $-multiplicative matrices and some inequalities." Mathematica Slovaca 54.3 (2004): 281-289. <http://eudml.org/doc/32434>.

@article{Mursaleen2004,
author = {Mursaleen, Mohammad, Edely, Osama, Mukheimer, Aiman},
journal = {Mathematica Slovaca},
keywords = {Knopp core; Banach core; -core; invariant mean; statistical convergence; multiplicative matrix},
language = {eng},
number = {3},
pages = {281-289},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Statistically $\sigma $-multiplicative matrices and some inequalities},
url = {http://eudml.org/doc/32434},
volume = {54},
year = {2004},
}

TY - JOUR
AU - Mursaleen, Mohammad
AU - Edely, Osama
AU - Mukheimer, Aiman
TI - Statistically $\sigma $-multiplicative matrices and some inequalities
JO - Mathematica Slovaca
PY - 2004
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 54
IS - 3
SP - 281
EP - 289
LA - eng
KW - Knopp core; Banach core; -core; invariant mean; statistical convergence; multiplicative matrix
UR - http://eudml.org/doc/32434
ER -

References

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  1. AHMAD Z. U.-SARASWAT S. K.-MURSALEEN, Invariant means and multiplicative matrices, Commun. Fac. Sci. Univ. Ank. Sér. Al Math. Stat. 29 (1980), 55-61. (1980) Zbl0462.40005MR0616326
  2. CONNOR J. S., The statistical and strong p-Cesáro convergence of sequences, Analysis (Munich) 8 (1988), 47-63. (1988) Zbl0653.40001MR0954458
  3. DAS G., Sublinear functionals and a class of conservative matrices, Bull. Inst. Math. Acad. Sinica 15 (1987), 89-106. (1987) Zbl0632.46008MR0947779
  4. EDELY, OSAMA H. H., Statistical Convergence and Infinite Matrices./, Ph.D. Тhesis, A. M. U., Aligarh, 2001. 
  5. FASТ H., Sur la convergence statistique, Colloq. Math. 2 (1951), 241-244. (1951) MR0048548
  6. FRIDY J. A., On statistical convergence, Analysis (Munich) 5 (1985), 301-313. (1985) Zbl0588.40001MR0816582
  7. FRIDY J. A.-ORHAN C., Statistical limit superior and limit inferior, Proc. Amer. Math. Soc. 125 (1997), 3625-3631. (1997) Zbl0883.40003MR1416085
  8. FRIDY J. A.-ORHAN C., Statistical core theorems, J. Math. Anal. Appl. 208 (1997), 520-527. (1997) Zbl0872.40001MR1441452
  9. KOLK E., Matrix summability of statistically convergent sequences, Analysis (Munich) 13 (1993), 77-83. (1993) Zbl0801.40005MR1245744
  10. LORENТZ G. G., A contribution to the theory of divergent sequences, Acta Math. 80 (1948), 167-190. (1948) MR0027868
  11. MISHRA S. L.-SAТAPAТHY B.-RAТH N., Invariant means and σ -core, J. Indian Math. Soc. 60 (1984), 151-158. (1984) MR1292133
  12. MURSALEEN, On some new invariant matrix methods of summability, Q. J. Math. 34 (1983), 77-86. (1983) Zbl0539.40006MR0688425
  13. MURSALEEN-GAUR A. K.-CHISHTI T. A., On some new sequence spaces of invariant means, Acta Math. Hungar. 753 (1997), 209-214. (1997) MR1440499
  14. ORHAN C., Some inequalities involving sublinear functionals, Comment. Math. Prace Mat. 31 (1991), 89-96. (1991) Zbl0753.40006MR1139856
  15. ŠALÁT T., On statistically convergent sequences of real numbers, Math. Slovaca 30 (1980), 139-150. (1980) Zbl0437.40003MR0587239
  16. SCHAEFER P., Infinite matrices and invariant means, Proc. Amer. Math. Soc. 36 (1972), 104-110. (1972) Zbl0255.40003MR0306763

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