Results 1 to 10 of about 243,897 (100)
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, Mohammad Mursaleen
exaly +4 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
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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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
doaj +2 more sources
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
doaj +1 more source
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
doaj +1 more source
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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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
doaj +1 more source
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
doaj +1 more source