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Now showing items 11-14 of 14
On the continuity properties of the L_p balls.
(Walter de Gruyter GmbH, 11.04.2023)
In this paper the right upper semicontinuity at p = 1 and continuity at p = ∞ of the set-valued map p → B_{Ω,X,p}(r), p ∈ [1, ∞], are studied where B_{Ω,X,p}(r) is the closed ball of the space L_p(Ω, Σ, μ; X) centered at ...
On the robustness of the integrable trajectories of the control systems with limited control resources
(Polish Academy of Sciences, 14.09.2023)
The control system described by Urysohn type integral equation is considered where the system is nonlinear with respect to the phase vector and is affine with respect to the control vector. The control functions are chosen ...
Approximation of the image of the $L_p$ ball under Hilbert-Schmidt integral operator
(De Gruyter, 14.04.2023)
In this paper an approximation of the image of the closed ball of the space $L_p$ $(p>1)$ centered at the origin with radius $r$ under Hilbert-Schmidt integral operator $F( \cdot ):L_p\rightarrow L_q$, $\frac{1}{p}+\frac{1}{q}=1,$ ...
On the continuity properties of the Lp balls
(Walter de Gruyter GmbH, 11.04.2023)
In this paper the right upper semicontinuity at p = 1 and continuity at p = ∞ of the set-valued map
p → B_{\Omega,X,p}(r), p ∈ [1,∞], are studied where B_{\Omega,,X,p}(r) is the closed ball of the space L_p(\Omega, Σ, ...