Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
The main goal of this paper is to characterize the family of all functions f which satisfy the following condition: whenever g is a Darboux function and f < g on ℝ there is a Darboux function h such that f < h < g on ℝ.
Słowa kluczowe
Kategorie tematyczne
Czasopismo
Rocznik
Tom
Numer
Strony
197-209
Opis fizyczny
Daty
wydano
1998
otrzymano
1996-04-23
Twórcy
autor
- Department of Mathematics, Pedagogical University, Pl. Weyssenhoffa 11, 85-072 Bydgoszcz, Poland
Bibliografia
- [1] F. Bagemihl and G. Piranian, Boundary functions defined in a disk, Michigan Math. J. 8 (1961), 201-207.
- [2] S. Banach, Sur une classe des fonctions continues, Fund. Math. 8 (1926), 166-172.
- [3] J. B. Brown, Almost continuous Darboux functions and Reed's pointwise convergence criteria, Fund. Math. 86 (1974), 1-7.
- [4] A. M. Bruckner, J. G. Ceder, and T. L. Pearson, On the insertion of Darboux, Baire-one functions, ibid. 80 (1973), 157-167.
- [5] A. M. Bruckner, On Darboux functions, Rev. Roumaine Math. Pures Appl. 19 (1974), 977-988.
- [6] A. M. Bruckner, J. G. Ceder, and M. L. Weiss, Uniform limits of Darboux functions, Colloq. Math. 15 (1966), 65-77.
- [7] J. G. Ceder and T. L. Pearson, Insertion of open functions, Duke Math. J. 35 (1968), 277-288.
- [8] J. G. Ceder and M. L. Weiss, Some in-between theorems for Darboux functions, Michigan Math. J. 13 (1966), 225-233.
- [9] S. Kempisty, Sur les fonctions quasicontinues, Fund. Math. 19 (1932), 184-197.
- [10] A. Maliszewski, Sums of bounded Darboux functions, Real Anal. Exchange 20 (1994-95), 673-680.
- [11] A. Maliszewski, On the limits of strong Świątkowski functions, Zeszyty Nauk. Politech. Łódz. Mat. 27 (1995), 87-93.
- [12] A. Maliszewski, Darboux property and quasi-continuity. A uniform approach, WSP, Słupsk, 1996.
- [13] T. Natkaniec, Almost continuity, Real Anal. Exchange 17 (1991-92), 462-520.
- [14] T. Natkaniec, Almost continuity, WSP, Bydgoszcz, 1992.
- [15] J. Stallings, Fixed point theorem for connectivity maps, Fund. Math. 47 (1959), 249-263.
- [16] Z. Zahorski, Sur la première dérivée, Trans. Amer. Math. Soc. 69 (1950), 1-54.
Typ dokumentu
Bibliografia
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bwmeta1.element.bwnjournal-article-fmv156i3p197bwm