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On the Numerical Integration of the Fokker-Planck Equation Driven by a Mechanical Force and the Bismut-Elworthy-Li Formula. [PDF]

Entropy (Basel)
Sanders J, Muratore-Ginanneschi P.
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3D imaging of SARS-CoV-2 infected hamster lungs by X-ray phase contrast tomography enables drug testing. [PDF]

Sci Rep
Reichmann J, Sarrazin C, Schmale S, Blaurock C, Balkema-Buschmann A, Schmitzer B, Salditt T.   +6 more
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Asymptotic expansion of multivariate Kantorovich type operators

Numerical Algorithms, 2005
The paper is devoted to the asymptotic study of simultaneous approximation by Kantorovich type operators in the multivariate case.The authors define a Kantorovich type modification of a linear operator.Applying some some earlier results [\textit{López-Moreno} et al, Appl. Math. 287--307 (2002; Zbl 1049.41018)] and [J. Comput. Appl. Math. 150, No.
Antonio-Jesús López-Moreno, Francisco-Javier Muñoz-Delgado   +1 more
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q-Bernstein-Schurer-Kantorovich type operators

Bollettino dell'Unione Matematica Italiana, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Agrawal, P. N., Goyal, Meenu, Kajla, Arun   +2 more
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Convergence analysis of modified Bernstein–Kantorovich type operators

Rendiconti del Circolo Matematico di Palermo Series 2, 2023
The authors introduce a Kantorovich variant of modified Bernstein Operators. Some auxiliary results are presented along with a Korovkin-type theorem, rate of convergence of the operators with the help of the modulus of continuity and Peetre's K-functionals.
Abhishek Senapati, Ajay Kumar, Tanmoy Som   +2 more
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Kantorovich‐Type Sampling Operators and Approximation

Mathematical Methods in the Applied Sciences
ABSTRACTIn this article, we investigate the convergence behavior of generalized sampling operators of Kantorovich‐type. By combining the generalized sampling operators and Kantorovich sampling operators, we obtain the new composition operators and estimate the order of approximation. Then, we establish quantitative estimates for convergence in terms of
Vijay Gupta, Vaibhav Sharma
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Saturation of Kantorovich type operators

Periodica Mathematica Hungarica, 1985
The author proves that an integrable function f can be approximated by the Kantorovich type modification of the Szász-Mirakjan and Baskakov operators in the \(L^ 1\) metric in the optimal order \(\{n^{-1}\}\) if and only if \(\phi^ 2f'\) is of bounded variation where \(\phi (x)=x^{1/2}\) and \(\phi (x)=[x(1+x)]^{1/2},\) respectively.
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Generalized Bernstein‐Kantorovich–type operators on a triangle

Mathematical Methods in the Applied Sciences, 2019
In this note, we construct generalized Bernstein‐Kantorovich–type operators on a triangle. The concern of this note is to present a Voronovskaja‐type and Grüss Voronovskaja‐type asymptotic theorems, and some estimates of the rate of approximation with the help of K‐functional, first and second order modulus of continuity.
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Approximation by Means of Kantorovich-Stancu Type Operators

Numerical Functional Analysis and Optimization, 2013
The purpose of this article is to give a Kantorovich generalization of Stancu type polynomials. We obtain convergence properties of our operators in the continuous function space and Lebesgue spaces. Furthermore, we get the order of approximation with the help of modulus of continuity and give a numerical example for approximation.
Sezgin Sucu, Ertan Ibikli
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