Results 31 to 40 of about 516 (72)

On the von Neumann rule in quantization

, 2019
We show that any linear quantization map into the space of self-adjoint operators in a Hilbert space violates the von Neumann rule on post-composition with real functions.Comment: 12 pages. The second version changes only the division into chapters and
Müller, Olaf
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Locality in GNS Representations of Deformation Quantization

, 1999
In the framework of deformation quantization we apply the formal GNS construction to find representations of the deformed algebras in pre-Hilbert spaces over $\mathbb C[[\lambda]]$ and establish the notion of local operators in these pre-Hilbert spaces ...
Waldmann, Stefan
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Approximation theorems for Kantorovich type Lupaș-Stancu operators based on \(q\)-integers

Journal of Numerical Analysis and Approximation Theory, 2017
In this paper, we introduce a Kantorovich generalization of q-Stancu-Lupa¸s operators and investigate their approximation properties. The rate of convergence of these operators are obtained by means of modulus of continuity, functions of Lipschitz class
Sevilay Kirci Serenbay, Özge Dalmanoğlu   +1 more
doaj   +2 more sources

Approximation properties by shifted knots type of α-Bernstein–Kantorovich–Stancu operators

Journal of Inequalities and Applications
Through the real polynomials of the shifted knots, the α-Bernstein–Kantorovich operators are studied in their Stancu form, and the approximation properties are obtained.
Md. Nasiruzzaman, Mohammad Dilshad, Bader Mufadhi Eid Albalawi, Mohammad Rehan Ajmal   +3 more
doaj   +1 more source

The Gabor wave front set of compactly supported distributions

, 2019
We show that the Gabor wave front set of a compactly supported distribution equals zero times the projection on the second variable of the classical wave front ...
A Weinstein, E Carypis, G B Folland, J Leray, K Gröchenig, L Hörmander, L Hörmander, L Rodino, M A Shubin, M Cappiello, P Wahlberg, R Melrose, S Coriasco, S Coriasco, S Zelditch   +14 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, Md. Nasiruzzaman, A. Kılıçman, S. H. Sapar   +3 more
doaj   +1 more source

Approximation by Stancu-type α-Bernstein-Schurer-Kantorovich operators

Journal of Inequalities and Applications
In the present article, we study the approximation properties of constructed operators based on the shape parameter α. We construct the Stancu-type operators of α-Bernstein–Schurer–Kantorovich operators. Here the shape parameter α ∈ [ 0 , 1 ] $\alpha \in
Md. Nasiruzzaman
doaj   +1 more source

Local well-posedness for the nonlinear Schr\"odinger equation in the intersection of modulation spaces $M_{p, q}^s(\mathbb{R}^d) \cap M_{\infty, 1}(\mathbb{R}^d)$

, 2019
We introduce a Littlewood-Paley characterization of modulation spaces and use it to give an alternative proof of the algebra property, somehow implicitly contained in Sugimoto (2011), of the intersection $M^s_{p,q}(\mathbb{R}^d) \cap M_{\infty, 1 ...
A Bényi, A Bényi, B Wang, E Cordero, HG Feichtinger, J Toft, L Chaichenets, LH Brandenburg, M Sugimoto, PC Kunstmann, S Guo, W Guo   +11 more
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A Study of Szász–Durremeyer-Type Operators Involving Adjoint Bernoulli Polynomials

Mathematics
This research work introduces a connection of adjoint Bernoulli’s polynomials and a gamma function as a sequence of linear positive operators. Further, the convergence properties of these sequences of operators are investigated in various functional ...
Nadeem Rao, Mohammad Farid, Rehan Ali
doaj   +1 more source

On an Extremal Problem concerning Bernstein Operators [PDF]

, 1995
* The second author is supported by the Alexander-von-Humboldt Foundation. He is on leave from: Institute of Mathematics, Academia Sinica, Beijing 100080, People’s Republic of China.The best constant problem for Bernstein operators with respect to the ...
Gonska, Heinz, Zhou, Ding-Xuan
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