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Approximation Properties by Szász–Mirakjan Operators to Bivariate Functions via Dunkl Analogue

Iranian Journal of Science and Technology, Transaction A: Science, 2020
In this paper, we propose an efficient method to approximate bivariate functions by Szasz–Mirakjan operators via Dunkl generalization. More precisely, we generalize the Dunkl formation of Szasz–Mirakjan operators by introducing the exponential functions and obtain the approximation by means of well-known Korovkin’s theorem, modulus of continuity ...

exaly   +2 more sources

Bivariate Dunkl Analogue of Stancu Type q-Szász–Mirakjan–Kantorovich Operators and Rate of Convergence

Iranian Journal of Science and Technology, Transaction A: Science, 2019
In the present paper, we prove some results on rate of convergence for Dunkl analogue of Stancu type q-Szasz–Mirakjan–Kantorovich operators in terms of second-order modulus of continuity and Lipschitz functions. Further, we construct the bivariate extension of these operators and obtain some approximation results.
Mohd Ahasan
exaly   +2 more sources

Dunkl analogue of Sz$ \acute{a} $sz-Schurer-Beta operators and their approximation behaviour

Mathematical Foundations of Computing, 2022
<p style='text-indent:20px;'>The goal of the present manuscript is to introduce a new sequence of linear positive operators, i.e., Sz<inline-formula><tex-math id="M2">\begin{document}$ \acute{a} $\end{document}</tex-math></inline-formula>sz-Schurer-Beta type operators to approximate a class of Lebesgue integrable functions.
Mohd Raiz   +3 more
openaire   +1 more source

Approximation of Phillips-operators on new parameters and via Dunkl analogue

International Journal of Mathematics Trends and Technology, 2020
Ravi Kumar, Nasiruzzaman Md
openaire   +1 more source

An Analogue of Beurling-Hörmander’s Theorem for the Dunkl-Bessel Transform

2010
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.
openaire   +1 more source

Approximating Properties of Generalized Dunkl Analogue of Szasz Operators

Applied Mathematics & Information Sciences, 2016
M Mursaleen, Taqseer Khan, Nasiruzzaman
openaire   +1 more source

Approximation by Phillips operators via q-Dunkl generalization based on a new parameter

Journal of King Saud University - Science, 2021
Abdullah Alotaibi, M Mursaleen
exaly  

Characterization of q-Dunkl-classical symmetric orthogonal q-polynomials

Ramanujan Journal, 2021
Jihad Souissi, Baghdadi Aloui
exaly  

The two-sided quaternionic dunkl transform and hardy’s theorem

Rendiconti Del Circolo Matematico Di Palermo, 2022
Fahlaoui Said, Mohamed Essenhajy
exaly  

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