Czasopismo
2013
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Vol 53, No. 1
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17--22
Tytuł artykułu
Autorzy
Wybrane pełne teksty z tego czasopisma
Warianty tytułu
Języki publikacji
Abstrakty
In this article we give the definition and some properties of unbounded almost periodic functions in Hausdorff metric. Moreover, we examine almost periodicity of the inverse of a generalized trigonometric polynomial of constant sign.
Czasopismo
Rocznik
Tom
Strony
17--22
Opis fizyczny
Bibliogr. 14 poz.
Twórcy
autor
- Faculty of Mathematics and Computer Science, Adam Mickiewicz University Umultowska 87, 61-614 Poznań, Poland , stoi@amu.edu.pl
Bibliografia
- [1] H. Bohr, Zur Theorie der fastperiodischen Funktionen, I Teil: Eine Verallgemeinerung der Theorie der Fourierreihen, Acta math. 45 (1925), 29–127.
- [2] A. S. Džafarov, G. M. Gasanov, Almost periodic functions with respect to the Hausdorff metric and some of their properties, Izv. Akad. Nauk Azerbaĭdžan. SSR, Ser. Fiz.-Techn. Mat. Nauk, No 1 (1977), 57–62 (in Russian).
- [3] F. Hausdorff, Grndzüge der Magenlehre, Leipzig, 1914.
- [4] B. M. Levitan, Almost Periodic Functions, Moscow, 1953 (in Russian) .
- [5] B. Sendov, Hausdorff Approximation, Kluwer Acad. Publ., 1990.
- [6] B. Sendov, B. Penkov, The "-entropy and the "-capacity of the space of continuous functions, B˘ulgar. Akad. Nauk. Izv. Mat. Inst. 6 (1962), 27–50 (in Bulgarian).
- [7] B. Sendov, V. A. Popov, On certain properties of the Hausdorff metric, Mathematica (Cluj) 8 (31) (1966), 163–172 (in Russian).
- [8] S. Stoiński, H-almost periodic functions, Funct. Approx. Comment. Math. 1 (1974), 113–122.
- [9] S. Stoiński, A connection between H-almost periodic functions and almost periodic functions of other types, Funct. Approx. Comment. Math. 3 (1976), 205–223.
- [10] S. Stoiński, Almost periodic functions in the Lebesgue measure, Ann. Soc. Math. Pol., Ser. I, Comment. Math. 34 (1994), 189–198.
- [11] S. Stoiński, A note on N-almost periodic functions and (NI)-almost periodic functions, Ann. Soc. Math. Pol., Ser. I, Comment. Math. 44(2) (2004), 199–204.
- [12] S. Stoiński, On superposition of almost periodic functions, Int. Journ. Evol. Equat. Vol. 1, No 2 (2005), 145–151.
- [13] S. Stoiński, On the almost periodicity of the superposition of functions, Int. Journ. Evol. Equat. Vol. 2, No 4 (2008), 333–342.
- [14] S. Stoiński, Almost Periodic Functions, Wyd. Nauk. UAM, Poznan, 2008 (in Polish).
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.baztech-1ccdac81-348d-471f-aef7-4f8ac28967c2