Results 261 to 270 of about 4,127,898 (306)

Quaternion Fourier Transform and Generalized Lipschitz Classes

Advances in Applied Clifford Algebras, 2021
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Loualid, El Mehdi, Elgargati, Abdelghani, Daher, Radouan   +2 more
openaire   +3 more sources

Discrete Fourier-Jacobi Transform and Generalized Lipschitz Classes

Acta Mathematica Vietnamica, 2022
El Mehdi Loualid
exaly   +2 more sources

Duality for General Lipschitz Classes and Applications

Proceedings of the London Mathematical Society, 1997
As shown by the author in Proc. Am. Math. Soc. 115, 345-352 (1992; Zbl 0768.46012), for every metric space \((K,d)\) with compact closed balls one has \((\text{lip }\varphi(K))^{**}= \text{Lip }\varphi(K)\), where \(\varphi\) is any majorant (i.e., nondecreasing function on \(\mathbb{R}_+\) with \(\varphi(0+)= \varphi(0)=0\) such that \(\varphi(t)/t ...
LG Hanin
openaire   +3 more sources

Lipschitz classes on local fields

Science in China Series A: Mathematics, 2007
The Lipschitz class Lipα on a local field K is defined in this note, and the equivalent relationship between the Lipschitz class Lipα and the Holder type space C α (K) is proved. Then, those important characteristics on the Euclidean space R n and the local field K are compared, so that one may interpret the essential ...
Wei-yi Su, Guo-xiang Chen
openaire   +2 more sources

A Bimonogenic Cauchy Transform on Higher Order Lipschitz Classes

Mediterranean Journal of Mathematics, 2019
Lianet De La Cruz-Toranzo, Ricardo Abreu Blaya, Juan Bory Reyes   +2 more
exaly   +2 more sources

Singular Integral Operator Involving Higher Order Lipschitz Classes

Mediterranean Journal of Mathematics, 2017
Juan Bory Reyes, Lianet De La Cruz-Toranzo   +1 more
exaly   +2 more sources

Lipschitz classes and convolution approximation processes

Mathematical Proceedings of the Cambridge Philosophical Society, 1981
For a continuous function f(x) on the reals or on the circle T (continuous and 2π periodic) we say that f(x) belongs to the generalized Lipschitz class, denoted by f ∈ Lip* α, ifwhere and Δhf(x) = f(x + ½h)−f(x−½h). For a convolution approximation process given bywherewe shall investigate equivalence relations between the asymptotic behaviour of (d/dx)
Z. Ditzian
openaire   +3 more sources

Fourier-Bessel transforms and generalized uniform Lipschitz classes

Integral transforms and special functions, 2021
Let , is defined on by . For f integrable on with respect to together with its Fourier-Bessel transform of order ν we give necessary and sufficient conditions to belong to the generalized Lipschitz classes and .
S. Volosivets
semanticscholar   +1 more source

Absolutely convergent Fourier–Jacobi series and generalized Lipschitz classes

Integral transforms and special functions, 2022
In this paper, we give necessary and sufficient conditions in terms of Fourier–Jacobi coefficients of a function f, to ensure that f belongs either to one of the generalized Lipschitz classes and for and .
Faouaz Saadi, R. Daher
semanticscholar   +1 more source

Higher order Lipschitz classes of functions and absolutely convergent Fourier series

Acta Mathematica Hungarica, 2008
F. Móricz
exaly   +2 more sources