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Strong Approximation and Generalized Lipschitz Classes

1981
Recently several papers (see e.g. [2], [3, [5], [7, [10]) deal with problems of imbedding of classes of functions connected with strong approximation of Fourier series. At such problems the main question is to find conditions implying that a certain class of functions should be imbedded into another one, and one of the classes in question is determined
L. Leindler
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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
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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
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Sharp Estimates for Lipschitz Class

The Journal of Geometric Analysis, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A characterization of generalized Lipschitz classes by the rate of convergence of semi-discrete operators

Revista Matemática Complutense
In this paper, we establish a comprehensive characterization of the generalized Lipschitz classes through the study of the rate of convergence of a family of semi-discrete sampling operators, of Durrmeyer type, in $$L^p$$ L p ...
D. Costarelli, Michele Piconi, G. Vinti
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Weak interpolation for the lipschitz class

Mathematica Slovaca, 2017
Abstract We introduce and characterize interpolation sets in a weak sense for the Lipschitz class in the unit disc of the complex plane. Interpolation sets in the classical sense and in a strong sense for this space have already been examined.
Benxamín Macía, Francesc Tugores
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Fourier-Dunkl transforms and generalized symmetric Lipschitz classes

Journal of Mathematical Analysis and Applications, 2022
S. Volosivets
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Boundary interpolation in weak Lipschitz classes

Journal of Mathematical Sciences, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Lipschitz classes on finite dimensional groups

Mathematical Proceedings of the Cambridge Philosophical Society, 1969
In this paper G will denote a compact metric Abelian group having finite topological dimension, dim G. The discrete dual group of G will be denoted by Γ. The metric on G will be denoted by d(x, y), or |x-y| since translation-invariance is assumed.
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