Results 11 to 20 of about 48,981 (245)

Asymptotics of approximation of functions by conjugate Poisson integrals

open access: yesKarpatsʹkì 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   +2 more
doaj   +1 more source

Zero-stability of waveform relaxation methods for ordinary differential equations

open access: yesElectronic Research Archive, 2022
Zero-stability is the basic property of numerical methods of ordinary differential equations (ODEs). Little work on zero-stability is obtained for the waveform relaxation (WR) methods, although it is an important numerical method of ODEs.
Zhencheng Fan
doaj   +1 more source

Numerical Solutions of Stochastic Differential Equations Driven by Poisson Random Measure with Non-Lipschitz Coefficients

open access: yesJournal of Applied Mathematics, 2012
The numerical methods in the current known literature require the stochastic differential equations (SDEs) driven by Poisson random measure satisfying the global Lipschitz condition and the linear growth condition.
Hui Yu, Minghui Song
doaj   +1 more source

Inertial Optimization Based Two-Step Methods for Solving Equilibrium Problems with Applications in Variational Inequality Problems and Growth Control Equilibrium Models

open access: yesEnergies, 2020
This manuscript aims to incorporate an inertial scheme with Popov’s subgradient extragradient method to solve equilibrium problems that involve two different classes of bifunction.
Habib ur Rehman   +4 more
doaj   +1 more source

Fourier transforms of Dini-Lipschitz functions

open access: yesInternational 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
doaj   +1 more source

Backward stochastic differential equations with unbounded generators [PDF]

open access: yes, 2018
In this paper we consider two classes of backward stochastic differential equations. Firstly, under a Lipschitz-type condition on the generator of the equation, which can also be unbounded, we give sufficient conditions for the existence of a unique ...
Gashi, Bujar, Li, Jiajie
core   +2 more sources

Optimal algorithms for global optimization in case of unknown Lipschitz constant [PDF]

open access: yes, 2005
We consider a family of function classes which allow functions with several minima and which demand only Lipschitz continuity for smoothness.
Horn, Matthias U.
core   +1 more source

Strongly Lipschitz up-Nuclear Operators

open access: yesMoroccan Journal of Pure and Applied Analysis, 2019
In this paper, we introduce the notion of strongly Lipschitz up-nuclear operators. Among other results, we prove an analog of the factorization theorem for these classes and characterize their conjugates.
Belacel Amar, Bey Khedidja
doaj   +1 more source

A new metric invariant for Banach spaces [PDF]

open access: yes, 2009
We show that if the Szlenk index of a Banach space $X$ is larger than the first infinite ordinal $\omega$ or if the Szlenk index of its dual is larger than $\omega$, then the tree of all finite sequences of integers equipped with the hyperbolic distance ...
Baudier, F., Kalton, N. J., Lancien, G.
core   +3 more sources

Observer-Based Distributed Consensus Control for Nonlinear Lipschitz and One-Side Lipschitz Fractional-Order Multi-Agent Systems [PDF]

open access: yesInternational Journal of Industrial Electronics, Control and Optimization
In this paper, an observer-based controller design for fractional-order multi-agent systems is discussed. By introducing a novel algorithm and leveraging appropriate lemmas and theoretical frameworks, we propose a stable observer and a distributed ...
Farshid Aazam Manesh   +3 more
doaj   +1 more source

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