Results 11 to 20 of about 556,500 (120)
A Dunkl Analogue of Operators Including Two-Variable Hermite polynomials [PDF]
Bulletin of the Malaysian Mathematical Sciences Society, 2018 The aim of this paper is to introduce a Dunkl generalization of the operators including two variable Hermite polynomials which are defined by Krech [14](Krech, G. A note on some positive linear operators associated with the Hermite polynomials, Carpathian J.
ÇEKİM, BAYRAM +2 more
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A Bochner Theorem for Dunkl Polynomials [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2011 We establish an analogue of the Bochner theorem for first order operators of Dunkl type, that is we classify all such operators having polynomial solutions.
Luc Vinet, Alexei Zhedanov
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Un analogue d'un théorème de Hardy pour la transformation de Dunkl
Comptes Rendus. Mathématique, 2002 On donne dans cette Note une généralisation d'un théorème de Hardy pour la transformation de Dunkl ℱ D sur R d . Plus précisément, pour toutes les valeurs de a>0, b>0 et p,q∈[1,+∞], on détermine les fonctions mesurables f telles que e a||x|| 2 f∈L k p (R d ) et e b||y|| 2 ℱ D (f)∈L k q (R d ), où les L k p (R d ) sont les espaces Lp associés à
Léonard Gallardo, Khalifa Trimèche
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A $q$-analogue of the type $A$ Dunkl operator and integral kernel
, 1997 LaTeX 2.09, 15 ...
Baker, T. H., Forrester, P. J.
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An Analogue of Beurling-Hörmander’s Theorem for the Dunkl-Bessel Transform [PDF]
, 2006 Mathematics Subject Classification: Primary 35R10, Secondary 44A15 We establish an analogue of Beurling-Hörmander’s theorem for the Dunkl-Bessel transform FD,B on R(d+1,+). We deduce an analogue of Gelfand-Shilov, Hardy, Cowling-Price and Morgan theorems on R(d+1,+) by using the heat kernel associated to the Dunkl-Bessel-Laplace operator.
Mejjaoli, Hatem
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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 +3 more
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Dirac Operators for the Dunkl Angular Momentum Algebra [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2021 We define a family of Dirac operators for the Dunkl angular momentum algebra depending on certain central elements of the group algebra of the Pin cover of the Weyl group inherent to the rational Cherednik algebra.
Kieran Calvert, Marcelo De Martino
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Journal of Function Spaces, 2020 The purpose of this article is to introduce a Kantorovich variant of Szász-Mirakjan operators by including the Dunkl analogue involving the Appell polynomials, namely, the Szász-Mirakjan-Jakimovski-Leviatan-type positive linear operators.
Md. Nasiruzzaman, A. F. Aljohani
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Approximation on a class of Phillips operators generated by q-analogue
Journal of Inequalities and Applications, 2020 The main purpose of this article is to introduce a new generalization of q-Phillips operators generated by Dunkl exponential function. We establish some approximation results for these operators. We also determine the order of approximation, and the rate
Abdullah Alotaibi
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Approximation by Szász-Jakimovski-Leviatan-Type Operators via Aid of Appell Polynomials
Journal of Function Spaces, 2020 The main purpose of the present article is to construct a newly Szász-Jakimovski-Leviatan-type positive linear operators in the Dunkl analogue by the aid of Appell polynomials.
Md. Nasiruzzaman, A. F. Aljohani
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