Results 1 to 10 of about 1,525 (98)

A Dunkl Analogue of Operators Including Two-variable Hermite polynomials [PDF]

Bulletin of the Malaysian Mathematical Sciences Society, 2017
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.
Aktaş, Rabia, Taşdelen, Fatma, Çekim, Bayram   +2 more
core   +6 more sources

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, Agrawal P.N., Araci Serkan   +2 more
doaj   +5 more sources

Approximation properties of bivariate Szász Durrmeyer operators via Dunkl analogue

Filomat, 2021
In the present article, we construct a new sequence of bivariate Sz?sz-Durrmeyer operators based on Dunkl analogue. We investigate the order of approximation with the aid of modulus of continuity in terms of well known Peetre?s K-functional, weighted approximation results, Voronovskaja type theorems and Lipschitz maximal functions. Further,
Nadeem Rao, Mohd Shadab
exaly   +4 more sources

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, İÇÖZ, GÜRHAN, ÇEKİM, BAYRAM, YAZICI, SERDAL   +3 more
openaire   +4 more sources

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, Daheh, Radouan, Safouane, Najat, Loualid, El Mehdi   +3 more
openaire   +2 more sources

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
doaj   +2 more sources

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, Md Nasiruzzaman, Abdullah Alotaibi   +2 more
doaj   +2 more sources

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, Md. Nasiruzzaman, M. Mursaleen   +2 more
doaj   +2 more sources

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
doaj   +6 more sources

A NEW CHARACTERIZATION OF SYMMETRIC DUNKL AND \(q\)-DUNKL-CLASSICAL ORTHOGONAL POLYNOMIALS

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
doaj   +1 more source