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On the almost periodicity of a generalized trigonometric polynomial

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Języki publikacji
EN
Abstrakty
EN
This paper presents some remarks on various types of the almost periodicity of a generalized trigonometric polynomial and of the inverse of a generalized trigonometric polynomial of constant sign.
Rocznik
Strony
163--170
Opis fizyczny
Bibliogr. 20 poz.
Twórcy
autor
  • Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Umultowska 87, 61-614 Poznan, Poland
Bibliografia
  • [1] M. Adamczak, C(n)-almost periodic functions, Ann. Soc. Math. Pol., Ser. I, Comment. Math. 37 (1997), 1–12.
  • [2] M. Adamczak, C(1) a -almost periodic functions, Funct. Approx. Comment. Math. 27 (1999), 87–97.
  • [3] M. Adamczak, S. Stoinski On the (NC(n))-almost periodic functions, Function Spaces, Proceedings of the Sixth Conference, Wroclaw, 2001, World Scientific Publishing Co. Pte. Ltd. (2003), 39–48.
  • [4] H. Bohr, Zur Theorie der fastperiodischen Funktionen, I Teil: Eine Verallgemeinerung der Theorie der Fourierreihen, Acta math. 45 (1925), 29–127.
  • [5] A. S. D˘zafarov, G. M. Gasanov, Almost periodic functions with respect to the Hausdorff metric and some of their properties, Izv. Akad. Nauk Azerba˘id˘zan. SSR, Ser. Fiz.-Techn. Mat. Nauk, No 1 (1977), 57–62 (in Russian).
  • [6] S. Hartman, Review of the thesis of S. Stoinski, Almost periodic functions and approximation of functions with respect to the Hausdorff metric, Wroclaw, 1974.
  • [7] F. Hausdorff, Grundzüge der Mengenlehre, Leipzig, 1914.
  • [8] B. M. Levitan, Almost Periodic Functions, Moscow, 1953 (in Russian) .
  • [9] B. Sendov, Hausdorff Approximation, Kluwer Acad. Publ., 1990.
  • [10] 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).
  • [11] B. Sendov, V. A. Popov, On certain properties of the Hausdorff metric, Mathematica (Cluj) 8 (31) (1966), 163–172 (in Russian).
  • [12] S. Stoinski, H-almost periodic functions, Funct. Approx. Comment. Math. 1 (1974), 113–122.
  • [13] S. Stoinski, A connection between H-almost periodic functions and almost periodic functions of other types, Funct. Approx. Comment. Math. 3 (1976), 205–223.
  • [14] S. Stoinski, Real-valued functions almost periodic in variation, Funct. Approx. Comment. Math. 22 (1993), 141–148.
  • [15] S. Stoinski, Almost periodic functions in the Lebesgue measure, Ann. Soc. Math. Pol., Ser. I, Comment. Math. 34 (1994), 189–198.
  • [16] S. Stoinski, 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.
  • [17] S. Stoinski, On superposition of almost periodic functions, Int. Journ. Evol. Equat. Vol. 1, No 2 (2005), 145–151.
  • [18] S. Stoinski, On the almost periodicity of the superposition of functions, Int. Journ. Evol. Equat. Vol. 2, No 4 (2008), 333–342.
  • [19] S. Stoinski, Almost Periodic Functions, Wyd. Nauk. UAM, Poznan, 2008 (in Polish).
  • [20] S. Stoinski, On unbounded almost periodic functions in Hausdorff metric, Comment. Math. Vol. 53, No 1 (2013), 17–22.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-75a71b8b-812f-473f-8c15-db6df13936bd
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