Results 231 to 240 of about 165,977,978 (255)

Characterization of embeddings of Sobolev-type spaces into generalized Hölder spaces defined by L-modulus of smoothness

Journal of Functional Analysis, 2019
In the last years, a lot of attention has been devoted to embeddings of Sobolev-type spaces \(W^kX(\Omega)\), where \(X(\Omega)\) is a rearrangement invariant Banach function space, \(\Omega\) is a domain in \(\mathbb{R}^n\), and \(k \in \mathbb{N}\).
Julio S Neves, Bohumir Opic, Amiran Gogatishvili   +2 more
exaly   +4 more sources

A generalized modulus of smoothness

Proceedings of the American Mathematical Society, 2014
We construct moduli of smoothness that generalize the well-known classical moduli and possess similar properties. They are related to a linear differential operator L L
Draganov, Borislav R., Ivanov, Kamen G.
openaire   +1 more source

Equivalence of K-functionals and modulus of smoothness generated by a Bessel type operator on the interval [0, 1]

Journal of Pseudo-Differential Operators and Applications, 2017
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El Ouadih, S., Daher, R.
openaire   +1 more source

Riesz potentials, radial besov spaces and modulus of smoothness associated with the κ-generalized Fourier transform

2021
This thesis is essentially about studying the κ-generalized Fourier transform. First, we inves tigate the Lp −Lq boundedness properties of the Riesz potentials Iα κ and the fractional maximal function Mκ,α associated to the κ-generalized Fourier transform. As application, we establish a Welland inequality.
Oukili, Sara, Sifi, Mohamed
openaire   +1 more source

A direct theorem of approximation theory for a general modulus of smoothness

Mathematical Notes, 2014
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Compact Embeddings of Bessel-Potential-Type Spaces into Generalized Hölder Spaces Involving $k$-Modulus of Smoothness

Zeitschrift für Analysis und ihre Anwendungen, 2011
We present conditions which are necessary and sufficient for compact embeddings of Bessel potential spaces H^\sigma X(\mathbb R^n) , modelled upon a rearrangement-invariant Banach function spaces X(\mathbb ...
Gogatishvili, A. (Amiran), Neves, J. S., Opic, B.   +2 more
openaire   +3 more sources

Degree of approximation by Fourier series in terms of the generalized modulus of smoothness

Journal of Interdisciplinary Mathematics
Many papers introduced for the approximation of continuous functions on a closed intervals using algebraic polynomials. Here we shall introduce a sequence of trigonometric operators on the Lebesgue quasi normed spaces, Then we using it to approximate functions in Lebesgue quasi normed spaces, in terms of modulus of smoothness of degree k.
Bushra Kadhum Awaad, Eman Samer Bhaya
openaire   +1 more source

Equivalence of K-functionals and modulus of smoothness constructed by generalized Jacobi transform

Integral Transforms and Special Functions, 2019
In this paper, we study the generalized Jacobi translation constructed by the Jacobi operator. Using the generalized Jacobi translation, we define generalized modulus of smoothness in the space L2(...
Mohamed El Hamma, Radouan Daher
openaire   +1 more source

Mellin transform of log-Lipschitz functions and equivalence of K-functionals and modulus of smoothness generated by the Mellin Steklov operator

Rendiconti del Circolo Matematico di Palermo Series 2, 2022
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Optimal Embeddings of Bessel-Potential-Type Spaces into Generalized Hölder Spaces Involving k-Modulus of Smoothness

Potential Analysis, 2009
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Gogatishvili, A. (Amiran), Neves, J. S., Opic, B. (Bohumír)   +2 more
openaire   +2 more sources