Results 41 to 50 of about 4,127,898 (306)
Moduli of Continuity for Exponential Lipschitz Classes [PDF]
Transactions of the American Mathematical Society, 1977 Let Ψ \Psi be a convex function, and let f be a real-valued function on [0, 1]. Let a modulus of continuity associated to Ψ \Psi be given as \[ Q Ψ ( δ , f ) = inf { λ :
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Uniform Boundedness Principle for Nonlinear Operators on Cones of Functions
Journal of Function Spaces, 2018 We prove a uniform boundedness principle for the Lipschitz seminorm of continuous, monotone, positively homogeneous, and subadditive mappings on suitable cones of functions. The result is applicable to several classes of classically nonlinear operators.
Aljoša Peperko
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Observer-Based Distributed Consensus Control for Nonlinear Lipschitz and One-Side Lipschitz Fractional-Order Multi-Agent Systems [PDF]
International Journal of Industrial Electronics, Control and OptimizationIn 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
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On a Class of Lipschitz Continuous Functions of Several Variables [PDF]
Proceedings of the American Mathematical Society, 1994 We establish an estimate via initial values for functions in a class of Lipschitz continuous functions of several variables. This estimate can be used to investigate the uniqueness of quasi-classical solutions of Cauchy problems for first-order nonlinear partial differential equations (PDEs).
Tran Duc Van, Nguyen Duy Thai Son
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Lipschitz Operators Associated with Weakly $p$-Compact and Unconditionally $p$-Compact Sets
Journal of Advanced Research in Natural and Applied SciencesThe study introduces different categories of Lipschitz operators linked with weakly $p$-compact and unconditionally $p$-compact sets. It explores some properties of these operator classes derived from linear operators associated with these sets and ...
Ramazan İnal, Ayşegül Keten Çopur
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A quasi-isometric embedding theorem for groups
, 2013 We show that every group $H$ of at most exponential growth with respect to some left invariant metric admits a bi-Lipschitz embedding into a finitely generated group $G$ such that $G$ is amenable (respectively, solvable, satisfies a non-trivial identity,
Olshanskii, A., Osin, D.
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WEIGHTED INTEGRABILITY RESULTS FOR FIRST HANKEL-CLIFFORD TRANSFORM
Проблемы анализа, 2023 We obtain sufficient conditions for the weighted integrability of the first Hankel-Clifford transforms of functions from generalized integral Lipschitz classes.
S. S. Volosivets
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Pointwise Approximation of Functions from 𝐿𝑝(𝑤)𝛽 by Linear Operators of Their Fourier Series
Journal of Function Spaces and Applications, 2012 We show the results, corresponding to theorem of Lal (2009), on the rate of pointwise approximation of functions from the pointwise integral Lipschitz classes by matrix summability means of their Fourier series as well as the theorems on norm ...
Włodzimierz Łenski, Bogdan Szal
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Математичні Студії, 2022 In the present work, we study problem related to the approximation of continuous $2\pi$-periodic functions by linear means of their Fourier series. The simplest example of a linear approximation of periodic function is the approximation of this function ...
O. G. Rovenska
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Lusin-type approximation of Sobolev by Lipschitz functions, in Gaussian and $RCD(K,\infty)$ spaces
, 2018 We establish new approximation results, in the sense of Lusin, of Sobolev functions by Lipschitz ones, in some classes of non-doubling metric measure structures.
Bo-Shi Wang (805841) +10 more
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