Results 21 to 30 of about 1,789,847 (137)
Local grand Lebesgue spaces on quasi-metric measure spaces and some applications [PDF]
, 2022 We introduce local grand Lebesgue spaces, over a quasi-metric measure space (X, d, mu), where the Lebesgue space is "aggrandized" not everywhere but only at a given closed set F of measure zero.
Umarkhadzhiev, Salaudin +2 more
core +1 more source
, 2020 We introduce a new class of quasi-Banach spaces as an extension of the classical Grand Lebesgue Spaces for small values of the parameter, and we investigate some its properties, in particular, completeness, fundamental function, operators estimates, Boyd indices, contraction principle, tail behavior, dual space, generalized triangle and quadrilateral ...
Formica, Maria Rosaria +2 more
openaire +2 more sources
ON BASICITY OF PERTURBED SYSTEM OF EXPONENTS IN GRAND-LEBESGUE SPACES
Proceedings of the Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan, 2023 Summary: This work is dedicated to the study of basicity of perturbed system of exponents \(\left\{e^{i(n - \beta \operatorname{sign}n)t}\right\}_{n\in \mathbb Z}\) in grand-Lebesgue spaces \(L_{p)}(-\pi, \pi)\), where \(\beta\) is a complex parameter.
Ismailov, Migdad I. +2 more
openaire +2 more sources
Journal of Forecasting, EarlyView.ABSTRACT This paper presents a method for forecasting limit order book durations using a self‐exciting flexible residual point process. High‐frequency events in modern exchanges exhibit heavy‐tailed interarrival times, posing a significant challenge for accurate prediction.
Kyungsub Lee
wiley +1 more source
Covariation inequality in Grand Lebesgue Spaces
, 2022 We represent in this preprint the exact estimate for covariation berween two random variables (r.v.), which are measurable relative the corresponding sigma-algebras through anyhow mixing coefficients. We associate a solution of this problem with fundamental function for correspondent rearrangement invariant spaces.
Ostrovsky, E., Sirota, L.
openaire +2 more sources
On the Approximation Properties of Modified Bernstein–Kantorovich Operators and Their Subfamilies
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Motivated by the construction of Bernstein–Kantorovich operators preserving affine functions, we introduce a Bernstein–Kantorovich type operators 𝒯n,m together with its subfamilies 𝒯∗n,m, 𝒯∗n,2m−1 and 𝒯∗n,2m. We investigate and compare their approximation properties with the other Bernstein–Kantorovich operators. Our analysis demonstrates that,
Hüseyin Aktuğlu, Mustafa Kara
wiley +1 more source
Cpmposed Grand Lebesgue Spaces
, 2011 In this article we introduce and investigate a new class of rearrangement invariant (r.i.) Banach function spaces, so-called Composed Grand Lebesgue Spaces (CGLS), in particular, Integral Grand Lebesgue Spaces (IGLS), which are some generalizations of known Grand Lebesgue Spaces (GLS). We consider the fundamental functions of CGLS, calculate its Boyd's
Ostrovsky, E., Sirota, L.
openaire +2 more sources
On basicity of exponential and trigonometric systems in grand Lebesgue spaces
Hacettepe Journal of Mathematics and Statistics, 2022 Basis properties of exponential and trigonometric systems in grand Lebesgue spaces $ L_{p)} (-\pi,\pi) $ are studied. Based on a shift operator, we consider the subspace $G_{p)} (-\pi,\pi)$ of the space $ L_{p)} (-\pi,\pi) $, where continuous functions are dense, and the boundedness of the singular operator in this subspace is proved.
Migdad ISMAİLOV +3 more
openaire +4 more sources
Optimal Homogeneous ℒp$$ {\boldsymbol{\mathcal{L}}}_{\boldsymbol{p}} $$‐Gain Controller
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT Nonlinear ℋ∞$$ {\mathscr{H}}_{\infty } $$‐controllers are designed for arbitrarily weighted, continuous homogeneous systems with a focus on systems affine in the control input. Based on the homogeneous ℒp$$ {\mathcal{L}}_p $$‐norm, the input–output behavior is quantified in terms of the homogeneous ℒp$$ {\mathcal{L}}_p $$‐gain as a ...
Daipeng Zhang +3 more
wiley +1 more source
Feedback Linearisation with State Constraints
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT Feedback Linearisation (FBL) is a widely used technique that applies feedback laws to transform input‐affine nonlinear control systems into linear control systems, allowing for the use of linear controller design methods such as pole placement.
Songlin Jin, Yuanbo Nie, Morgan Jones
wiley +1 more source