A note on the convergence of Phillips operators by the sequence of functions via q-calculus
Demonstratio Mathematica, 2022 The basic aim of this study is to include nonnegative real parameters to allow for approximation findings of the Stancu variant of Phillips operators.
Kiliçman Adem +2 more
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Approximation on a class of Szász–Mirakyan operators via second kind of beta operators
Journal of Inequalities and Applications, 2020 In the present article, we construct a new sequence of positive linear operators via Dunkl analogue of modified Szász–Durrmeyer operators. We study the moments and basic results.
M. Nasiruzzaman +3 more
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Approximation on a class of Phillips operators generated by q-analogue
Journal of Inequalities and Applications, 2020 The main purpose of this article is to introduce a new generalization of q-Phillips operators generated by Dunkl exponential function. We establish some approximation results for these operators. We also determine the order of approximation, and the rate
Abdullah Alotaibi
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Dirac operators for the Dunkl Angular Momentum Algebra [PDF]
, 2021 We define a family of Dirac operators for the Dunkl angular momentum algebra depending on certain central elements of the group algebra of the Pin cover of the Weyl group inherent to the rational Cherednik algebra.
De Martino, Marcelo +2 more
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Dunkl generalization of Phillips operators and approximation in weighted spaces
Advances in Difference Equations, 2020 The purpose of this article is to introduce a modification of Phillips operators on the interval [ 1 2 , ∞ ) $[ \frac{1}{2},\infty ) $ via a Dunkl generalization. We further define the Stancu type generalization of these operators as S n , υ ∗ ( f ; x ) =
M. Mursaleen +3 more
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Characterizations of the Symmetric T(θ,q)-Classical Orthogonal q-Polynomials [PDF]
, 2022 In this paper, we give two characterizations for symmetric q-Dunkl-classical orthogonal polynomials. The first one is related to a spectral problem for a second-order linear q-difference differential operator.
Bouras, B. +2 more
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Dunkl-Gabor transform and time-frequency concentration [PDF]
, 2015 summary:The aim of this paper is to prove two new uncertainty principles for the Dunkl-Gabor transform. The first of these results is a new version of Heisenberg's uncertainty inequality which states that the Dunkl-Gabor transform of a nonzero function ...
Ghobber, Saifallah
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Approximation by a generalized class of Dunkl type Szász operators based on post quantum calculus
Journal of Inequalities and Applications, 2019 The main purpose of this paper is to introduce a generalized class of Dunkl type Szász operators via post quantum calculus on the interval [12,∞) $[ \frac{1}{2},\infty )$.
Abdullah Alotaibi
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Bilinear biorthogonal expansions and the Dunkl kernel on the real line [PDF]
, 2012 We study an extension of the classical Paley–Wiener space structure, which is based on bilinear expansions of integral kernels into biorthogonal sequences of functions.
Varona, Juan Luis +8 more
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Revisiting Beurling's theorem for Dunkl transform [PDF]
, 2015 peer reviewedWe prove an analogue of Beurling's theorem in the setting of Dunkl transform, which improves the theorem of Kawazoe-Mejjaoli (\cite{Kawazoe})
PUSTI, Sanjoy
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