Results 31 to 40 of about 4,127,898 (306)
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 +2 more
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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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Energies, 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
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A new metric invariant for Banach spaces [PDF]
, 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.
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Free lunches on the discrete Lipschitz class
Theoretical Computer Science, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pei Jiang 0002, Ying-Ping Chen
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Hölder and Lipschitz continuity in Orlicz-Sobolev classes, distortion and harmonic mappings [PDF]
Filomat, 2022 In this article, we consider the H?lder continuity of injective maps in Orlicz-Sobolev classes defined on the unit ball. Under certain conditions on the growth of dilatations, we obtain the H?lder continuity of the indicated class of mappings.
M. Mateljević +2 more
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Strongly Lipschitz up-Nuclear Operators
Moroccan 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
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COMPLETE ASYMPTOTICS OF APPROXIMATIONS BY CERTAIN SINGULAR INTEGRALS IN THE MATHEMATICAL MODELING
Міжнародний науково-технічний журнал "Проблеми керування та інформатики", 2020 In solving some types of applied problems, the most effective nowadays are methods of the theory of approximation of functions. In a modern stage of development of the theory of approximation of functions, one merely deals with either an approximation ...
К.М. Жигалло
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Optimal algorithms for global optimization in case of unknown Lipschitz constant [PDF]
, 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.
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A note on Lipschitz classes [PDF]
Bulletin of the American Mathematical Society, 1935 The main result of the paper may be stated as follows. Let \( c_{0}, c_{1}, \ldots \) be a sequence of complex numbers such that \( \sum n^{2 \alpha}\left|c_{n}\right|^{2} \) converges, with \( 0 \leqq \alpha \leqq 1 \). Then, for almost every sequence of signs \(\pm 1\), the series \( \sum \pm c_{n} e^{i n x} \) is the Fourier series of a function ...
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