Results 11 to 20 of about 103,412 (240)

Lipschitz Continuity Results for a Class of Parametric Variational Inequalities and Applications to Network Games

Algorithms, 2023
We consider a class of finite-dimensional variational inequalities where both the operator and the constraint set can depend on a parameter. Under suitable assumptions, we provide new estimates for the Lipschitz constant of the solution, which ...
Mauro Passacantando, Fabio Raciti
doaj   +1 more source

Asymptotics of approximation of functions by conjugate Poisson integrals

Karpatsʹkì Matematičnì Publìkacìï, 2020
Among the actual problems of the theory of approximation of functions one should highlight a wide range of extremal problems, in particular, studying the approximation of functional classes by various linear methods of summation of the Fourier series. In
I.V. Kal'chuk, Yu.I. Kharkevych, K.V. Pozharska   +2 more
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GENERALIZATION OF TITCHMARSH’ S THEOREM FOR THE FIRST HANKEL-CLIFFORD TRANSFORM IN THE SPACE 𝑳(^𝑷 _𝝁) ((𝟎, + ∞))

Проблемы анализа, 2022
Using a generalized translation operator, we intend to establish generalizations of the Titchmarsh theorem ( [14], theorem 84) for the first Hankel-Clifford transform for certain classes of functions in the space 𝐿(^𝑝 _𝜇) ((0, + ∞)), where 1 < 𝑝 ⩽ 2.
M. El Hamma, A. Mahfoud
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Approximation Properties of an Extended Family of the Szász–Mirakjan Beta-Type Operators

Axioms, 2019
Approximation and some other basic properties of various linear and nonlinear operators are potentially useful in many different areas of researches in the mathematical, physical, and engineering sciences.
Hari Mohan Srivastava, Gürhan İçöz, Bayram Çekim   +2 more
doaj   +1 more source

A general theorem of existence of quasi absolutely minimal Lipschitz extensions [PDF]

, 2014
In this paper we consider a wide class of generalized Lipschitz extension problems and the corresponding problem of finding absolutely minimal Lipschitz extensions.
Gruyer, Erwan Le, Hirn, Matthew J.
core   +3 more sources

Lipschitz domains, domains with corners and the Hodge Laplacian [PDF]

, 2004
We define self-adjoint extensions of the Hodge Laplacian on Lipschitz domains in Riemannian manifolds, corresponding to either the absolute or the relative boundary condition, and examine regularity properties of these operators' domains and form domains.
Mitrea, Marius, Taylor, Michael, Vasy, Andras   +2 more
core   +3 more sources

Fourier transforms of Dini-Lipschitz functions

International Journal of Mathematics and Mathematical Sciences, 1986
It is well known that if Lipschitz conditions of a certain order are imposed on a function f(x), then these conditions affect considerably the absolute convergence of the Fourier series and Fourier transforms of f.
M. S. Younis
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Lipschitz stability for generalized ordinary differential equations and impulsive retarded differential equations

Electronic Journal of Qualitative Theory of Differential Equations, 2019
We consider a class of retarded functional differential equations with preassigned moments of impulsive effect and we study the Lipschitz stability of solutions of these equations using the theory of generalized ordinary differential equations and ...
Suzete Afonso, Márcia da Silva
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Large scale rank of Teichmuller space [PDF]

, 2014
Let X be quasi-isometric to either the mapping class group equipped with the word metric, or to Teichmuller space equipped with either the Teichmuller metric or the Weil-Petersson metric.
Eskin, Alex, Masur, Howard, Rafi, Kasra
core   +1 more source

Exceptional families of measures on Carnot groups

Analysis and Geometry in Metric Spaces, 2023
We study the families of measures on Carnot groups that have vanishing pp-module, which we call Mp{M}_{p}-exceptional families. We found necessary and sufficient Conditions for the family of intrinsic Lipschitz surfaces passing through a common point to ...
Franchi Bruno, Markina Irina
doaj   +1 more source