Results 31 to 40 of about 2,832 (120)

Sobolev-type inequalities for Dunkl operators [PDF]

Journal of Functional Analysis, 2020
Section 6 significantly rewritten, also corrected some ...
openaire   +3 more sources

Dunkl generalization of Szász beta‐type operators [PDF]

Mathematical Methods in the Applied Sciences, 2017
The goal in the paper is to advertise Dunkl extension of Szász beta‐type operators. We initiate approximation features via acknowledged Korovkin and weighted Korovkin theorem and obtain the convergence rate from the point of modulus of continuity, second‐order modulus of continuity, the Lipschitz class functions, Peetre's K‐functional, and modulus of ...
Bayram Çekim, Ülkü Dinlemez Kantar, İsmet Yüksel   +2 more
openaire   +3 more sources

Dunkl-Gamma Type Operators Including Appell Polynomials [PDF]

Complex Analysis and Operator Theory, 2019
The aim of the present paper is to introduce Dunkl-Gamma type operators in terms of Appell polynomials and to investigate approximating properties of these operators.
Taşdelen, Fatma, Söylemez, Dilek, Aktaş, Rabia   +2 more
openaire   +3 more sources

Dunkl-Sobolev spaces of exponential type and applications

Journal of Function Spaces and Applications, 2011
We study the Sobolev spaces of exponential type associated with the Dunkl operators. Some properties including completeness and imbedding theorem are proved.
Hatem Mejjaoli
doaj   +1 more source

Paley and Hardy's inequalities for the Fourier-Dunkl expansions [PDF]

Arab Journal of Mathematical Sciences
Purpose – Paley's and Hardy's inequality are proved on a Hardy-type space for the Fourier–Dunkl expansions based on a complete orthonormal system of Dunkl kernels generalizing the classical exponential system defining the classical Fourier series. Design/
Anis Elgarna
doaj   +1 more source

Approximation on a class of Szász–Mirakyan operators via second kind of beta operators

Journal of Inequalities and Applications, 2020
In the present article, we construct a new sequence of positive linear operators via Dunkl analogue of modified Szász–Durrmeyer operators. We study the moments and basic results.
M. Nasiruzzaman, Nadeem Rao, Anshul Srivastava, Ravi Kumar   +3 more
doaj   +1 more source

The Range of the Spectral Projection Associated with the Dunkl Laplacian

Journal of Function Spaces, 2020
For s∈ℝ, denote by Pksf the “projection” of a function f in Dℝd into the eigenspaces of the Dunkl Laplacian Δk corresponding to the eigenvalue −s2. The parameter k comes from Dunkl’s theory of differential-difference operators.
Salem Ben Said, Hatem Mejjaoli
doaj   +1 more source

The Dunkl intertwining operator

Journal of Functional Analysis, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Maslouhi, M., Youssfi, E.H.
openaire   +1 more source

Convolution Operators and Bochner-Riesz Means on Herz-Type Hardy Spaces in the Dunkl Setting

International Journal of Mathematics and Mathematical Sciences, 2010
We study the Dunkl convolution operators on Herz-type Hardy spaces ℋα,2p and we establish a version of multiplier theorem for the maximal Bochner-Riesz operators on the Herz-type Hardy spaces ℋα,∞p.
A. Gasmi, F. Soltani
doaj   +1 more source

First Hitting Time of the Boundary of the Weyl Chamber by Radial Dunkl Processes [PDF]

, 2008
We provide two equivalent approaches for computing the tail distribution of the first hitting time of the boundary of the Weyl chamber by a radial Dunkl process. The first approach is based on a spectral problem with initial value.
Demni, Nizar
core   +5 more sources