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Laguerre-Bessel Transform and Generalized Lipschitz Classes [PDF]
Tatra Mountains Mathematical Publications, 2023 Abstract The aim of this paper is to give necessary and sufficient conditions in terms of the Fourier Laguerre-Bessel transform 𝒲 LB f of the function f to ensure that f belongs to the generalized Lipschitz classes H α
Rakhimi, Larbi +2 more
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On finite lipschitz Orlicz Sobolev classes [PDF]
, 2014 It is found a sufficient condition of finite Lipschitz of homeomorphisms of the Orlicz-Sobolev class under a condition of the Calderon type.
Руслан Салімов
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Journal of Inequalities and Applications, 2016 To start with, signals are dealt with as functions of one variable and images are shown by elements of two variables. The investigation of these ideas is directly related to the transpiring area of information technology.
Deepmala, Laurian-Ioan Piscoran
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Lipschitz classes and quasiconformla mappings
Annales Academiae Scientiarum Fennicae. Series A. I. Mathematica, 1985 A domain \(D\subset R^ n\) is a Lip\({}_{\alpha}\)-extension domain if every \(f: D\to R^ p\) which satisfies \(| f(x)-f(y)| \leq m| x-y|^{\alpha ...
Gehring, F. W., Martio, O.
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Lipschitz Classes and Fourier Series of Stochastic Processes [PDF]
Tokyo Journal of Mathematics, 1988 For \(2\pi\)-periodic stochastic processes belonging to the class \(L^{s,r}(T\times \Omega)\), \(1\leq r,s\), the corresponding Fourier series convergence is examined and conditions for the existence of the \(\ell\)-th derivative belonging to the Lipschitz class \(\Lambda_{\phi}\) of the processes are obtained.
Tatsuo Kawata
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Generalized Hukuhara Weak Solutions for a Class of Coupled Systems of Fuzzy Fractional Order Partial Differential Equations without Lipschitz Conditions [PDF]
Mathematics, 2022 As is known to all, Lipschitz condition, which is very important to guarantee existence and uniqueness of solution for differential equations, is not frequently satisfied in real-world problems.
Fan Zhang, Heng-You Lan, Hai-Yang Xu
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On the Plemelj–Privalov theorem in Clifford analysis involving higher order Lipschitz classes
Journal of Mathematical Analysis and Applications, 2019 The main purpose of this work is to prove that the higher order Lipschitz classes behave invariant under the action of a singular integral operator which arise naturally in polymonogenic Clifford algebra valued function theory.
Lianet De La Cruz-Toranzo +2 more
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On Generalized Lipschitz Classes and Fourier Series
Zeitschrift für Analysis und ihre Anwendungen, 2004 In 1967 R. P. Boas Jr. found necessary and sufficient conditions of belonging of a function to a Lipschitz class. Later Boas's findings were generalized by many authors (e.g. M. and S. Izumi (1969), L.-Y. Chan (1991) and others). Recently, L. Leindler (2000) and J. Nemeth (2001) have published two papers, in which they have generalized all the previous
S. Tikhonov
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Complexity of pattern classes and Lipschitz property
, 2004 Rademacher and Gaussian complexities are successfully used in learning theory for measuring the capacity of the class of functions to be learned. One of the most important properties for these complexities is their Lipschitz property: a composition of a ...
J. Shawe-Taylor +3 more
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Lipschitz classes of functions and distributions in $E_n$ [PDF]
Bulletin of the American Mathematical Society, 1963 The results summarized here are the principle results of the aut h o r s doctoral dissertation presented at the University of Chicago and written under the direction of E. M. Stein. These results will appear soon with proofs. We consider properties of classes of functions and distributions which are characterized by various smoothness and ...
M. Taibleson
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