On ϕ -convergence and ϕ -density

Eugen Kováč

Mathematica Slovaca (2005)

  • Volume: 55, Issue: 3, page 329-351
  • ISSN: 0232-0525

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Kováč, Eugen. "On $\varphi $-convergence and $\varphi $-density." Mathematica Slovaca 55.3 (2005): 329-351. <http://eudml.org/doc/32085>.

@article{Kováč2005,
author = {Kováč, Eugen},
journal = {Mathematica Slovaca},
keywords = {statistical convergence; summability},
language = {eng},
number = {3},
pages = {329-351},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On $\varphi $-convergence and $\varphi $-density},
url = {http://eudml.org/doc/32085},
volume = {55},
year = {2005},
}

TY - JOUR
AU - Kováč, Eugen
TI - On $\varphi $-convergence and $\varphi $-density
JO - Mathematica Slovaca
PY - 2005
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 55
IS - 3
SP - 329
EP - 351
LA - eng
KW - statistical convergence; summability
UR - http://eudml.org/doc/32085
ER -

References

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  1. BROWN T. C.-FREEDMAN A. R., The uniform density of sets of integers and Fermaťs last theorem, C. R. Math. Rеp. Acad. Sci. Canada 11 (1990), 1-6. (1990) MR1043085
  2. CONNOR J. S., The statistical convergence and strong p-Cesàro convergence of sequences, Analysis (Munich) 8 (1988), 47-63. (1988) MR0954458
  3. ERDÖS P., Solutions of advanced problems: Φ -convergence, Amеr. Math. Monthly 85 (1978), 122-123. (1978) MR1538623
  4. FASТ H., Sur la convergence statistique, Colloq. Math. 2 (1951), 241-244. (1951) MR0048548
  5. HARDY G. H., Divergent Series, Clarеdon Prеss, Oxford, 1949. (1949) Zbl0032.05801MR0030620
  6. KOSTYRKO P.-ŠALÁT T.-WILCIŃSKY W., I -convergence, Real Anal. Exchange 26 (2000-01), 669-686. Zbl1199.40026MR1844385
  7. KOVÁČ E., Various Types of Convergence, ϕ -Convergence, Master Thesis, FMPI, Comenius University, Bratislava, 2001. (Slovak). 
  8. KOVÁČ E., On ϕ -Convergence and ϕ -Densities of Sets of Integers, Rigorous Thesis, FMPI, Comenius University, Bratislava, 2002. 
  9. NIVEN I.-ZUCKERMAN H. S., An Introduction to the Theory of Numbers, (4th ed.), John Wiley, New York-London-Sydney, 1967. (1967) 
  10. PETERSEN G. M., Regular Matrix Transformations, McGraw-Hill Publ. Comp., New York-Toronto-Sydney, 1966. (1966) Zbl0159.35401MR0225045
  11. ŠALÁT, On statisticaly convergent sequences of real numbers, Math. Slovaca 30 (1980), 139-150. (1980) MR0587239
  12. SCHOENBERG I. J., The integrability of certain functions and related summability methods, Amer. Math. Monthly 66 (1959), 361-375. (1959) Zbl0089.04002MR0104946
  13. SТEINHAUS H., Quelques remarques sur la généralisation de la notion de limite, Prace Matematyczno-Fizyczne 22 (1911), 121-134. (Polish) (1911) 

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