Wyniki wyszukiwania - BazTech

Ograniczanie wyników

4 Journal of Applied Mathematics and Computational Mechanics

Znaleziono wyników: 4

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: generalized Hölder condition

Sortuj według:

Ogranicz wyniki do:

Uniformly bounded Nemytskij operators acting between the Banach spaces of generalized Hölder functions

Lupa M., Wróbel M.

Journal of Applied Mathematics and Computational Mechanics

2017

Vol. 16, nr 4

37--45

We investigate the Nemytskij (composition, superposition) operators acting between Banach spaces of r -times differentiable functions defined on the closed intervals of the real line with the r-derivatives satisfying a generalized Hölder condition. The main result says that if such a Nemytskij operator is uniformly bounded (in a special case uniformly continuous) then its generator is an affine function with respect to the second variable, i.e., the Matkowski representation holds. This extends an earlier result where an operator is assumed to be Lipschitzian.

Solutions of some functional equations in a class of generalized Hölder functions

Lupa M.

Journal of Applied Mathematics and Computational Mechanics

2016

Vol. 15, nr 4

105--116

The existence and uniqueness of solutions a nonlinear iterative equation in the class of r-times differentiable functions with the r-derivative satisfying a generalized Hölder condition is considered.

On a certain property of generalized Hölder functions

Lupa M.

Journal of Applied Mathematics and Computational Mechanics

2015

Vol. 14, nr 4

127--132

In this paper some properties of functions belonging to the space Wy[a,b] of generalized Hölder functions are considered. These functions are r-times differentiable and their r-th derivatives satisfy the generalized Hölder condition. The main result of the paper is a proof of the fundamental lemma that the recursive model-defined functions ℎk: I × Rk+1 → R, k = 0,1, … , r are a special form and belong to the space Wy[a,b].

A special case of generalized Hölder functions

Lupa M.

Journal of Applied Mathematics and Computational Mechanics

2014

Vol. 13, nr 4

81--89

In this paper some properties of a special case of generalized Hölder functions, which belong to the space W γ [a, b], are considered. These functions are r-times differentiable and their r-th derivatives satisfy the generalized Hölder condition. The main result of the paper is a proof of the theorem that product of two functions belonging to the space W γ [a, b] also belongs to this space.