Temat: increasing function - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: On the increasing solutions of the translation equation
Autorzy:: Brzdęk, Janusz
Powiązania:: https://bibliotekanauki.pl/articles/1310912.pdf
Data publikacji:: 1996
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: translation equation
linear order
increasing function
additive function
Opis:: Let M be a non-empty set endowed with a dense linear order without the smallest and greatest elements. Let (G,+) be a group which has a non-trivial uniquely divisible subgroup. There are given conditions under which every solution F: M×G → M of the translation equation is of the form $F(a,x) = f^{-1}(f(a) + c(x))$ for a ∈ M, x ∈ G with some non-trivial additive function c: G → ℝ and a strictly increasing function f: M → ℝ such that f(M) + c(G) ⊂ f(M). In particular, a problem of J. Tabor is solved.
Źródło:: Annales Polonici Mathematici; 1996, 64, 3; 207-214
0066-2216
Pojawia się w:: Annales Polonici Mathematici
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: A handful of theorems about point increase
Autorzy:: Janaszak, Tadeusz
Powiązania:: https://bibliotekanauki.pl/articles/421328.pdf
Data publikacji:: 2013
Wydawca:: Wydawnictwo Uniwersytetu Ekonomicznego we Wrocławiu
Tematy:: increasing function
point of increasing
continuous function
decreasing function
point of decreasing
sequence of increasing points
Opis:: In classic calculus increasing functions are considered. The idea of increasing is connected with an interval. In this article the idea of increasing function is connected with a point and some neighbourhood of the point. It is defined as an increasing point of the function. This is proved by the theorem: if each point of an interval is a point of increasing a function then the function is increasing at an interval.
Źródło:: Didactics of Mathematics; 2013, 10(14); 33-44
1733-7941
Pojawia się w:: Didactics of Mathematics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Level sets of continuous functions increasing with respect to each variable
Autorzy:: Sajbura, Katarzyna
Powiązania:: https://bibliotekanauki.pl/articles/729642.pdf
Data publikacji:: 2005
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: level set
continuous function
function increasing with respect to each variable
arcwise connectedness
Opis:: We are going to prove that level sets of continuous functions increasing with respect to each variable are arcwise connected (Theorem 3) and characterize those of them which are arcs (Theorem 2). In [3], we will apply the second result to the classical linear functional equation
φ∘f = gφ + h
(cf., for instance, [1] and [2]) in a case not studied yet, where f is given as a pair of means, that is so-called mean-type mapping.
Źródło:: Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2005, 25, 1; 19-26
1509-9407
Pojawia się w:: Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:: Biblioteka Nauki

Artykuł

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