On s i g m a -statistically convergence and lacunary s i g m a -statistically convergence

Ekrem Savaş; Fatih Nuray

Mathematica Slovaca (1993)

  • Volume: 43, Issue: 3, page 309-315
  • ISSN: 0232-0525

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Savaş, Ekrem, and Nuray, Fatih. "On $sigma$-statistically convergence and lacunary $sigma$-statistically convergence." Mathematica Slovaca 43.3 (1993): 309-315. <http://eudml.org/doc/32304>.

@article{Savaş1993,
author = {Savaş, Ekrem, Nuray, Fatih},
journal = {Mathematica Slovaca},
keywords = {statistical convergence},
language = {eng},
number = {3},
pages = {309-315},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On $sigma$-statistically convergence and lacunary $sigma$-statistically convergence},
url = {http://eudml.org/doc/32304},
volume = {43},
year = {1993},
}

TY - JOUR
AU - Savaş, Ekrem
AU - Nuray, Fatih
TI - On $sigma$-statistically convergence and lacunary $sigma$-statistically convergence
JO - Mathematica Slovaca
PY - 1993
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 43
IS - 3
SP - 309
EP - 315
LA - eng
KW - statistical convergence
UR - http://eudml.org/doc/32304
ER -

References

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  1. CONNOR J., The statistical and strong p-Cesáro convergence of sequences, Analysis 8 (1988), 47-63. (1988) Zbl0653.40001MR0954458
  2. FAST H., Sur la convergence statistique, Colloq. Math. 2 (1951), 241-244. (1951) Zbl0044.33605MR0048548
  3. FREEDMAN A., SEMBER J., RAPHAEL M., Some Cesáro-type summability spaces, Proc. London Math. Soc. (3) 37 (1978), 508-520. (1978) Zbl0424.40008MR0512023
  4. FRIDY J., On statistical convergence, Analysis 5 (1985), 301-310. (1985) Zbl0588.40001MR0816582
  5. LORENTZ G. G., A contribution to the theory of divergent sequences, Acta Math. 80 (1948), 167-190. (1948) Zbl0031.29501MR0027868
  6. MADDOX I. J., Statistical convergence in a locally convex space, Math. Proc. Cambridge Philos. Soc. 104 (1988), 141-145. (1988) Zbl0674.40008MR0938459
  7. MURSALEEN, Invariant means and some matrix transformations, Tamkang J. Math. 10 (1979), 183-188. (1979) Zbl0437.40004MR0584532
  8. MURSALEEN, Matrix transformations between some new sequence spaces, Houston J. Math. 9 (1983), 505-509. (1983) Zbl0542.40003MR0732242
  9. ŠALÁT T., On statistically convergent sequences of real numbers, Math. Slovaca 30 (1980), 139-150. (1980) Zbl0437.40003MR0587239
  10. SAVAŞ E., On lacunary strong σ-convergence, Indian J. Pure Appl. Math. 21 (1990), 359-365. (1990) MR1050848
  11. SAVAŞ E., Some sequence spaces involving invariant means, Indian J. Math. 31 (1989), 1-8. (1989) Zbl0681.46008MR0999297
  12. SCHAEFER P., Infinite matrices and invariant means, Proc. Amer. Math. Soc. 36 (1972), 104-110. (1972) Zbl0255.40003MR0306763
  13. SCHOENBERG I. J., The integrability of certain functions and related summability methods, Amer. Math. Monthly 66 (1959), 361-365. (1959) Zbl0089.04002MR0104946

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