PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

On some special notions of approximate quasicontinuity on Rm

Autorzy
Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Some special notions of approximate quasicontinuity on Rm and the uniform, pointwise, transfinite and the discrete convergence of sequences of such functions are investigated.
Wydawca
Rocznik
Strony
533--550
Opis fizyczny
Bibliogr. 29 poz.
Twórcy
autor
  • Institute of Mathematics, Bydgoszcz Academy, Plac Weyssenhoffa 11, 85-072 Bydgoszcz, Poland
Bibliografia
  • [1] J. Borsík, On strong quasicontinuity and continuity points, Tatra Month. Math. Publ., to appear.
  • [2] M. Balcerzak, A generalization of the theorem of Mauldin, Corn. Math. Univ. Carolinae, 26, 2 (1985), 209-220.
  • [3] A. M. Bruckner, Differentiation of integrals, Amer. Math. Monthly, V. 78, No 9 (1971), 1-54.
  • [4] A. M. Bruckner, Differentiation of Real Functions, Lectures Notes in Math. 659, Spriner-Verlag, Berlin 1978.
  • [5] A. Császár and M. Laczkovich, Discrete and equal convergence, Studia Sci. Math. Hung. 10 (1975), 463-472.
  • [6] R. O. Davies, Separate approximate continuity implies measurability, Proc. Camb. Phil. Soc. 73 (1973), 461-465.
  • [7] C. Goffman, C. Neugebauer and T. Nishiura, Density topology and approximate continuity, Duke Math. J. 28 (1961), 497-506.
  • [8] Z. Grande, Sur les suites transfinies, Acta Math. Acad. Sci. Hungaricae, 30(1-2), (1977), 85-90.
  • [9] Z. Grande, La mesurabilité des fonctions de deux variables et de la superposition F(x, f(x)), Dissert. Math. 1959 (1978), 1-50.
  • [10] Z. Grande, M. Topolewska, Sur les fonctions vectoriélles approxivativement continues, Ćas. Pěst. Matem. 4 (1982), 333-340.
  • [11] Z. Grande, Sur les fonctions approximativement quasi- continues, Rev. Roum. Pures and Appl. XXXIV, No 1 (1988), pp. 17-22.
  • [12] Z. Grande, Sur la quasi-continué approximative, Fund. Math., 129 (1988), 167-172.
  • [13] Z. Grande, T. Natkaniec, E. Strońska, Algebraic structures generated by d-quasi continuous functions, Bull. Pol. Acad. Sci., Math. 35 (1987), 717-723.
  • [14] Z. Grande, Measurability, quasicontinuity and cliquishness of functions of two variables, Real Analysis Exch. 20 (1994-95), 744-752.
  • [15] Z. Grande, On some special notions of approximate quasi-continuity, Real Analysis Exch. 24 (1998-99), 171-183.
  • [16] Z. Grande, On discrete limits of sequences of functions satisfying some special approximate quasicontinuity conditions, Real Analysis Exch. 25(2), (1999-2000), 703-710.
  • [17] Z. Grande, On discrete limits of sequences of approximately and Tae-continuous functions, Acta Math. Hungar. 92 (1-2) (2001), 39-50.
  • [18] Z. Grande, E. Strońska, On some properties connected with continuity and measurability, Tatra Mont. Math. Publ. 19 (2000), 117-125.
  • [19] M. Grande, On the set of discontinuity points of functions satisfying some approximate quasi-continuity conditions, Real Analysis Exch. 27(2), (2001-2002), 773-781.
  • [20] S. Kempisty, Sur les fonctions quasicontinues, Fund. Math. 19 (1939), 184-197.
  • [21] W. Kołodziej, Analiza matematyczna, PWN, Warszawa 1978 (in Polish).
  • [22] J. S. Lipiński, On transfinite sequences of mappings, Ćas. Pěst. Math. 101 (1976), 153-158.
  • [23] J. S. Lipiński, On measurability of functions of two variables, Bull. Acad. Polon. Sci., Ser. Sci. Math. Astronom. Phys. 20 (1972), 131-135.
  • [24] R. D. Mauldin, The Baire order of the functions continuous almost everyvhere, Proc. Amer. Math. Soc. 41 (1973), 535-540.
  • [25] T. Neubrunn, Quasi-continuity, Real Analysis Exch. 14(2) (1988-890), 259-306.
  • [26] R. J. O'Malley, Approximately differentiable functions. The r topology, Pac. J. Math. 72 (1977), 207-222.
  • [27] E. Strońska, On quasi-uniform convergence of sequences of s1-strongly quasicontinuous functions on Rm, Real Analysis Exch. 30(1) (2004/2005), 217-234.
  • [28] W. Wilczyński, Density Topologies, Edited by Pap E. Handbook of measure theory, Elsevier Science B.V., Amsterdam (2002), ch. 15.
  • [29] J. Wesołowska, On the strong quasicontinuity of multivalued maps of two variables, Tatra Mont. Math. Publ. 19 (2000), 213-218.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA3-0014-0003
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.