Results 1 to 10 of about 491,660 (153)
Boundedness of Multidimensional Dunkl-Hausdorff Operators
Journal of Function Spaces, 2020 In the present paper, we introduce the multidimensional Dunkl-Hausdorff operator ℋκ and we give simple sufficient conditions so that these operators be bounded on the weighted lebesgue spaces Lκpℝn and in the Hardy space Hκ1ℝn associated with the Dunkl ...
Radouan Daher, Faouaz Saadi
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A generalized Dunkl type modifications of Phillips operators [PDF]
Journal of Inequalities and Applications, 2018 The main purpose of this present article is to discuss the convergence of Lebesgue measurable functions by providing a Dunkl generalization of Szász type operators known as Phillips operators. To achieve the results of a better way of uniform convergence
M. Nasiruzzaman, Nadeem Rao
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Nonlocal Operational Calculi for Dunkl Operators [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2009 The one-dimensional Dunkl operator $D_k$ with a non-negative parameter $k$, is considered under an arbitrary nonlocal boundary value condition. The right inverse operator of $D_k$, satisfying this condition is studied.
Ivan H. Dimovski, Valentin Z. Hristov
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Weighted Hardy–Rellich Inequality for Dunkl Operators
Mathematics, 2023 In this paper, we proved a weighted Hardy–Rellich inequality for Dunkl operators based on the spherical h-harmonic decomposition theory of Dunkl operators.
Jielin Lyu +3 more
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A Dunkl type generalization of Szász operators via post-quantum calculus [PDF]
Journal of Inequalities and Applications, 2018 The object of this paper to construct Dunkl type Szász operators via post-quantum calculus. We obtain some approximation results for these new operators and compute convergence of the operators by using the modulus of continuity.
Abdullah Alotaibi +2 more
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Dunkl–Schrödinger Operators [PDF]
Complex Analysis and Operator Theory, 2018 In this paper, we consider the Schrödinger operators $L_k=-Δ_k+V$, where $Δ_k$ is the Dunkl-Laplace operator and $V$ is a non-negative potential on $R^d$. We establish that $L_k $ is essentially self-adjoint on $C_0^\infty$. In particular, we develop a bounded $H^\infty$-calculus on $L^p$ spaces for the Dunkl harmonic oscillator operator.
Béchir Amri
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On modified Dunkl generalization of Szász operators via q-calculus [PDF]
Journal of Inequalities and Applications, 2017 The purpose of this paper is to introduce a modification of q-Dunkl generalization of exponential functions. These types of operators enable better error estimation on the interval [ 1 2 , ∞ ) $[\frac{1}{2},\infty)$ than the classical ones.
M Mursaleen +2 more
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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 ...
Ismet Yuksel +2 more
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Dirichlet and Neumann Boundary Value Problems for Dunkl Polyharmonic Equations
Mathematics, 2023 Dunkl operators are a family of commuting differential–difference operators associated with a finite reflection group. These operators play a key role in the area of harmonic analysis and theory of spherical functions.
Hongfen Yuan, Valery Karachik
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Dunkl operators for arbitrary finite groups [PDF]
Advances in Operator Theory, 2021 New example using Cuntz algebras, final version, 44 ...
Micho Đurđevich, Stephen Bruce Sontz
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