Results 41 to 50 of about 1,064 (158)
A unified ab-initio approach to the correlated quantum dynamics of ultracold fermionic and bosonic mixtures [PDF]
, 2017 We extent the recently developed Multi-Layer Multi-Configuration Time-Dependent Hartree method for Bosons (ML-MCTDHB) for simulating the correlated quantum dynamics of bosonic mixtures to the fermionic sector and establish a unifying approach for the ...
Bolsinger, V. +6 more
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Bézier-Bernstein-Schurer type operators
General Mathematics, 2022 Abstract We define Bézier variant of the κ- Bernstein-Schurer operators and study its various approximation properties. We present a direct theorem with the help of the Ditzian-Totik modulus of continuity. The rate of approximation for absolutely functions having a derivative equivalent to a bounded variation is also obtained.
Arun Kajla, null Sahil, Priya Sehrawat
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Statistical Approximation of q-Bernstein-Schurer-Stancu-Kantorovich Operators
Journal of Applied Mathematics, 2014 We introduce two kinds of Kantorovich-type q-Bernstein-Schurer-Stancu operators. We first estimate moments of q-Bernstein-Schurer-Stancu-Kantorovich operators. We also establish the statistical approximation properties of these operators. Furthermore, we
Qiu Lin
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On -analogue of two parametric Stancu-Beta operators [PDF]
, 2007 Our purpose is to introduce a two-parametric ( p , q ) $(p, q)$ -analogue of the Stancu-Beta operators. We study approximating properties of these operators using the Korovkin approximation theorem and also study a direct theorem.
Abdizhahan M Sarsenbi +2 more
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Variational approaches to quantum impurities: from the Fr\"{o}hlich polaron to the angulon [PDF]
, 2018 Problems involving quantum impurities, in which one or a few particles are interacting with a macroscopic environment, represent a pervasive paradigm, spanning across atomic, molecular, and condensed-matter physics.
Bighin, Giacomo +3 more
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Kantorovich-Schurer bivariate operators [PDF]
Miskolc Mathematical Notes, 2004 Summary: Let \(p,q\) be two non-negative given integers. The sequence \((\tilde{K}_{m,n,p,q})_{m,n\in N}\), \(\tilde{K}_{m,n,p,q}:L_1([0,1]\times [0,1])\to C([0,1]\times[0,1])\), \[ \left(\tilde{K}_{m,n,p,q} f\right)(x,y) \] \[ = (m+p+1)(n+p+1)\times \sum\nolimits^{m+p}_{k=0}\sum\nolimits^{n+q}_{j=0} \tilde{p}_{m,k}(x)\tilde{p}_{n j}(y)\int\nolimits ...
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Journal of Mathematics, 2023 The objective of this paper is to construct univariate and bivariate blending type α-Schurer–Kantorovich operators depending on two parameters α∈0,1 and ρ>0 to approximate a class of measurable functions on 0,1+q,q>0.
Mohammad Ayman-Mursaleen +5 more
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Bézier Form of Quantum λ ‐Bernstein–Schurer Operators With Associated Approximation Properties
Journal of Mathematics, Volume 2026, Issue 1, 2026.We introduce a Bézier form of Schurer‐type modification of the quantum λ‐Bernstein operators, extending the classical Schurer operators through the Bézier basis with shape parameter −1 ≤ λ ≤ 1. By applying Korovkin’s theorem, we obtain both global and local approximation results.
Jabr Aljedani +2 more
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Note on a Schurer-Stancu-type operator [PDF]
Creative Mathematics and Informatics, 2015 The aim of this paper is to introduce a class of operators of Schurer-Stancu-type with the property that the test functions e0 and e1 are reproduced. Also, in our approach, a theorem of error approximation and a Voronovskaja-type theorem for this operators are obtained. Finally, we study the convergence of the iterates for our new class of operators.
ADRIAN D. INDREA +2 more
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A new complex generalized Bernstein-Schurer operator [PDF]
Carpathian Journal of Mathematics, 2021 "In this paper, we consider the complex form of a new generalization of Bernstein-Schurer operators. We obtain some quantitative upper estimates for the approximation of these operators attached to analytic functions. Moreover, we prove that these operators preserve some properties of the original function such as univalence, starlikeness, convexity ...
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