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BUCK, R. C.: The measure theoretic approach to density,Amer. J. Math. 68 (1946), 560–580. Search in Google Scholar

BUCK, R. C.: Generalized asymptotic density,Amer. J. Math. 75 1953, 335–346. Search in Google Scholar

BUCK, R. C.: Convergence theorems for finitely additive integrals, J.Indian Math.Soc. (N.S.) 23 (1959), 1–9. Search in Google Scholar

DRMOTA, M.—TICHY, R. F.: Sequences, Discrepancies and Applications. Springer, Berlin, Heidelberg, 1997. Search in Google Scholar

GREKOS, G.: The density set (a survey), Tatra Mt. Math. Publ. 31 (2005), 103–111. Search in Google Scholar

GREKOS, G.: On various definitions of density (survey), Tatra Mt. Math. Publ. 31 (2005), 17–27. Search in Google Scholar

IACO, M. R.—PAŠTÉKA, M.—TICHY, R. F.: Measure density for set decompositions and uniform distribution,Rend. Circ. Mat.Palermo 64 (2015), no. 2, 323–339. Search in Google Scholar

KUIPERS, L.— NIEDERREITER, H.: Uniform Distribution of Sequences. John Wiley and Sons, N.Y. London, Sydney Toronto, 1974. Search in Google Scholar

LEONETTI, P.—TRINGALI, S.: On the notions of upper and lower density,Proc. Edinb. Math.Soc., II.Ser. 63 (2020), no. 1, 139–167. Search in Google Scholar

PAŠTÉKA, M.: Metrics on N and the distribution of sequences, Tatra Mt. Math. Publ. 82 (2022), 29–52. Search in Google Scholar

PAŠTÉKA,M.—TICHY, R.: Measurable sequences, Riv. Mat. Univ. Parma (N.S.) 10 (2019), no. 1, 63–84. Search in Google Scholar

PAŠTÉKA, M.: Central limit theorem and the distribution of sequences, Tatra Mt. Math. Publ. 77 (2020), 43–52. Search in Google Scholar

STRAUCH, O.: Distribution of Sequences: A Theory. VEDA, Bratislava, Academia, Prague, 2019. Search in Google Scholar

SCHOENBERG, I.:Über die asymptotische Verteilung reeler Zahlen mod 1.,Math. Z. (1928), 171–199. Search in Google Scholar

TOLAND, J.: The Dual of L (X, ℒ, λ), Finitely Additive Measures, and Weak Convergence. A Primer, SpringerBriefs in Mathematics Springer, Cham, 2020. Search in Google Scholar

WEYL, H.: Über die Gleichverteilung von Zahlen mod. Eins, Math. Ann, 77 (1916), 313–352. Search in Google Scholar

YOSIDA, K.—HEWITT, E.: Finitely additive measures, Trans. Amer. Math. Soc. 72 (1952), 46–66. Search in Google Scholar

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Sujets de la revue:
Mathematics, General Mathematics