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In this note we present some theorems on the superposition of an (NVp)-almost periodic (a.p. for short) function, a μ-a.p. function and an (Nμ)-a.p. function. Moreover, we prove a theorem on the bounded primary function of an (NS^p)-a.p. function. Finally, we prove that the inverse of a V_p-a.p. function is (NV_p)-a.p.
Słowa kluczowe
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Rocznik
Tom
Strony
149--159
Opis fizyczny
bibliogr. 12 poz.
Twórcy
autor
autor
- Faculty of Mathematics and Computer Science, Adam Mickiewicz University Umultowska 87, 61-614 Pozna´n, Poland, amic@amu.edu.pl
Bibliografia
- [1] M. Adamczak, On compactness of C(n)-almost periodic functions, Demonstr. Math. Vol.32 No 2 (1999), 385-393.
- [2] A. S. Besicovitch, Almost periodic functions, Cambridge 1932.
- [3] H. Bohr, Zur Theorie der fastperiodischen Funktionen, I. Teil Eine Verallgemeinerung der Theorie der Fourierreihen, Acta math. 45 (1925), 29-127; II. Teil Zusammenhang der fastperiodischen Funktionen mit Funktionen von unendlichvielen Variablen; gleichm¨assige Approximation durch trigonometrische Summen, Acta math. 46 (1925), 101-214.
- [4] C. Corduneanu, Almost Periodic Functions, Chelsea Publishing Co., New York 1989.
- [5] B. M. Levitan, Almost periodic functions, Moscow 1953 (in Russian) .
- [6] S. Stoi´nski, Real-valued functions almost periodic in variation, Funct. Approximatio, Comment. Math. 22 (1993), 141-148.
- [7] S. Stoiński, Almost periodic functions in the Lebesgue measure, Commentat. Math. 34 (1994), 189-198.
- [8] S. Stoiński, Real-valued functions almost periodic in p-variation, Fasc. Math. 26 (1996), 155-162.
- [9] S. Stoiński, N-almost periodic in the sense of variation functions, Commentat. Math. 41 (2001), 195-202.
- [10] S. Stoiński, A note on N-almost periodic functions and (NI)-almost periodic functions, Commentat. Math. 44 (2) (2004), 199-204.
- [11] S. Stoiński, On superposition of almost periodic functions, International Journal of Evolution Equations 1 No 2 (2005), 145-151.
- [12] S. Stoiński, On the almost periodicity of the superposition of functions, (in the press).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BUS5-0019-0007