Results 241 to 250 of about 165,977,978 (255)

Generalized Modulus of Smoothness and K-functional.

Communications on Applied Nonlinear Analysis
Many articles introduced about direct and inverse theorems interims of ordinary modulus of smoothness andK-functional. Here we shall define a generalized modulus of smoothness andK-functional, then we prove they are equivalent.
openaire   +1 more source

Direct Jackson-type estimate for the general modulus of smoothness in the nonperiodic case

Mathematical Notes, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Equivalence of K-functionals and modulus of smoothness generated by the (k,n)-Fourier transform

Asian-European Journal of Mathematics
By considering a generalized translation operator related to the [Formula: see text]-Fourier transform, we define the corresponding modulus of smoothness and [Formula: see text]-functionals. We prove their equivalence in [Formula: see text], extending classical results to this generalized harmonic analysis framework. This lays the groundwork for future
Mehrez Mannai, Selma Negzaoui, Sami Rebhi   +2 more
openaire   +1 more source

On Jackson theorems for the generalized modulus of smoothness

1985
The authors prove the following interesting theorem: Let \(\lambda >- 1,1\leq ...
Potapov, M. K., Fedorov, V. M.
openaire   +2 more sources

Embeddings of Sobolev-type spaces into generalized Hölder spaces involving \(k\)-modulus of smoothness

2015
Filling a hole in the literature, the authors establish necessary and sufficient conditions for continuous embeddings of both nonhomogeneous Sobolev spaces \(W^k\,X(\mathbb{R}^n)\) and homogeneous Sobolev space \(W^k\,X(\mathbb{R}^n)\), modelled upon rearrangement-invariant Banach function space \(X(\mathbb{R}^n)\), into generalized Hölder spaces ...
Gogatishvili, A. (Amiran), Moura, S., Neves, J. S., Opic, B.   +3 more
openaire   +2 more sources

Equivalence of K-functionals and modulus of smoothness for Laguerre type operator

Journal of Pseudo-Differential Operators and Applications, 2021
Larbi Rakhimi, R Daher
exaly  

Realization Functionals and Description of a Modulus of Smoothness in Variable Exponent Lebesgue Spaces

Russian Mathematics, 2023
S S Volosivets
exaly  

DIRECT AND INVERSE THEOREMS OF APPROXIMATION THEORY FOR THE GENERALIZED MODULUS OF SMOOTHNESS OF SOME CLASS OF FUNCTIONS

Problems of Physics, Mathematics and Technics, 2021
openaire   +1 more source

Modulus of Smoothness and Theorems Concerning Approximation in the Space $$L^{2}_{q,\alpha }(\mathbb {R}_{q})$$ with Power Weight

Mediterranean Journal of Mathematics, 2021
Othman Tyr, Radouan Daher
exaly  

Modulus of Continuity and Modulus of Smoothness related to the Deformed Hankel Transform

Results in Mathematics, 2021
Selma Negzaoui
exaly