Results 1 to 10 of about 233,071 (107)
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, M Mursaleen
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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
Nadeem Rao
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Quantitative Dunkl analogue of Szász-Mirakyan operators [PDF]
Journal of Mathematical Inequalities, 2021 Summary: The main object of this paper is to introduce a sequence of quantitative Dunkl analogue Szász-Mirakyan operators. Firstly, we have defined mentioned operators and have obtained test values and central moments for our operators. We have given weighted Korovkin theorem for these operators and then, have shed light on approximation properties of ...
Cai, Qing-Bo +3 more
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AN ANALOGUE OF COWLING-PRICE’S THEOREM FOR THE Q-FOURIER-DUNKL TRANSFORM [PDF]
Facta Universitatis, Series: Mathematics and Informatics, 2020 The Q-Fourier-Dunkl transform satisfies some uncertainty principles in a similar way to the Euclidean Fourier transform. By using theheat kernel associated to the Q-Fourier-Dunkl operator, we have established an analogue of Cowling-Price, Miyachi and Morgan theorems on $\mathbb{R}$ by using the heat kernel associated to the Q-Fourier-Dunkl transform.
Achak, Azzedine +3 more
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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 analogue of Szász-mirakjan operators of blending type
Open Mathematics, 2018 In the present work, we construct a Dunkl generalization of the modified Szász-Mirakjan operators of integral form defined by Pǎltanea [1]. We study the approximation properties of these operators including weighted Korovkin theorem, the rate of ...
Deshwal Sheetal +2 more
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A NEW CHARACTERIZATION OF SYMMETRIC DUNKL AND \(q\)-DUNKL-CLASSICAL ORTHOGONAL POLYNOMIALS [PDF]
Ural Mathematical Journal, 2023 In this paper, we consider the following \(\mathcal{L}\)-difference equation $$\Phi(x) \mathcal{L}P_{n+1}(x)=(\xi_nx+\vartheta_n)P_{n+1}(x)+\lambda_nP_{n}(x),\quad n\geq0,$$where \(\Phi\) is a monic polynomial (even), \(\deg\Phi\leq2\), \(\xi_n ...
Yahia Habbachi
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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.
Bayram Çekim, Rabia Aktas
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Un analogue d'un théorème de Hardy pour la transformation de Dunkl
Comptes Rendus Mathematique, 2002 On donne dans cette Note une généralisation d'un théorème de Hardy pour la transformation de Dunkl ℱ D sur R
Khalifa Trimeche, Leonard Gallardo
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Mathematics, 2023 In this paper, we construct the bivariate Szász–Jakimovski–Leviatan-type operators in Dunkl form using the unbounded sequences αn, βm and ξm of positive numbers.
Abdullah Alotaibi
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