Results 81 to 90 of about 491,660 (153)
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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Hilbert Transforms Associated with Dunkl-Hermite Polynomials
Symmetry, Integrability and Geometry: Methods and Applications, 2009 We consider expansions of functions in L^p(R,|x|^{2k}dx), 1 ≤ p < +∞ with respect to Dunkl-Hermite functions in the rank-one setting. We actually define the heat-diffusion and Poisson integrals in the one-dimensional Dunkl setting and study their ...
Néjib Ben Salem, Taha Samaali
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SPECTRAL THEOREMS ASSOCIATED TO THE DUNKL OPERATORS
Korean Journal of Mathematics, 2016 Summary: In this paper, we characterize the support for the Dunkl transform on the generalized Lebesgue spaces via the Dunkl resolvent function. The behavior of the sequence of \(L^p_k-\) norms of iterated Dunkl potentials is studied depending on the support of their Dunkl transform.
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Computing with Differential-Difference Operators [PDF]
, 1998 . Computer algebra can be used to prove identities in the algebra of operators on polynomials which is generated by multiplication by coordinate functions, and the group translations and Dunkl operators associated with a reflection group.
Dunkl, Charles F., Charles F. Dunkl
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Quantitative Dunkl analogue of Szász-Mirakyan operators
, 2021 The main object of this paper is to introduce a sequence of quantitative Dunkl analogue Szasz-Mirakyan operators. Firstly, we have defined mentioned operators and have obtained test values and central moments for our operators.
Serdal Yazıcı +7 more
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The class Bp for weighted generalized Fourier transform inequalities
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2015 In the present paper, we prove weighted inequalities for the Dunkl transform (which generalizes the Fourier transform) when the weights belong to the well-known class Bp.
Chokri Abdelkefi, Mongi Rachdi
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, 1998 Notes of series of lectures held during the 1997 workshop ``Harmonic analysis on homogeneous spaces and representation of Lie groups'', RIMS, Kyoto ...
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Imaginary Powers of the Dunkl Harmonic Oscillator
Symmetry, Integrability and Geometry: Methods and Applications, 2009 In this paper we continue the study of spectral properties of the Dunkl harmonic oscillator in the context of a finite reflection group on Rd isomorphic to Z_2^d. We prove that imaginary powers of this operator are bounded on L^p, 1 < p < ∞, and from L^1
Adam Nowak, Krzysztof Stempak
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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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