Results 21 to 30 of about 127 (99)

Approximation of Functions by Dunkl-Type Generalization of Szász-Durrmeyer Operators Based on p,q-Integers

Journal of Function Spaces, 2021
In this article, our main purpose is to define the p,q-variant of Szász-Durrmeyer type operators with the help of Dunkl generalization generated by an exponential function.
Abdullah Alotaibi
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Sobolev-type inequalities for Dunkl operators [PDF]

Journal of Functional Analysis, 2020
Section 6 significantly rewritten, also corrected some ...
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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
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Dunkl Operators as Covariant Derivatives in a Quantum Principal Bundle

Symmetry, Integrability and Geometry: Methods and Applications, 2013
A quantum principal bundle is constructed for every Coxeter group acting on a finite-dimensional Euclidean space E, and then a connection is also defined on this bundle.
Micho Đurđevich, Stephen Bruce Sontz
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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
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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
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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
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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
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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
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The Dunkl intertwining operator

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