Results 1 to 10 of about 4,102,538 (267)
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
doaj +2 more sources
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.
openaire +3 more sources
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
core +3 more sources
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
openaire +3 more sources
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
openaire +4 more sources
Lipschitz classes and the Hardy-Littlewood property
Monatshefte für Mathematik, 1993 A proper subdomain \(D\) of \(\mathbb{C}\) has the Hardy-Littlewood property if there is a constant \(k\) such that for any \(\beta\in(0,1]\) and any \(f\) analytic in \(D\) with \(| f'(z)|\leq m d(z,D)^{\beta-1}\) in \(D\) we have the Hölder condition (*) \(| f(z_ 1)-f(z_ 2)|\leq M| z_ 1-z_ 2|^ \beta\) in \(D\) with \(M=km/\beta\). If \(D\) satisfies (
Hag, K. +3 more
openaire +3 more sources
A Characterisation of Lipschitz Classes on Finite Dimensional Groups [PDF]
Proceedings of the American Mathematical Society, 1976 An analogue of a theorem of S. N. Bernstein is developed for certain metric locally compact abelian groups. This, together with a corresponding Jackson-type theorem, gives a characterisation in terms of their Fourier transforms of the Lipschitz functions defined on a compact abelian group with finite topological dimension.
W. Bloom
openaire +3 more sources
Fourier transforms and their Lipschitz classes [PDF]
Pacific Journal of Mathematics, 1978 Sampson, G., Tuy, H.
openaire +3 more sources
Efficient learning of ground and thermal states within phases of matter [PDF]
Nature CommunicationsWe consider two related tasks: (a) estimating a parameterisation of a given Gibbs state and expectation values of Lipschitz observables on this state; (b) learning the expectation values of local observables within a thermal or quantum phase of matter ...
Cambyse Rouzé +3 more
doaj +2 more sources
Further results on strictly Lipschitz summing operators
Moroccan Journal of Pure and Applied Analysis, 2022 The aim of this paper is to give some new characterizations of strictly Lipschitz p-summing operators. These operators have been introduced in order to improve the Lipschitz p-summing operators.
Belaala Maatougui, Saadi Khalil
doaj +1 more source