Results 51 to 60 of about 827 (202)
Laser &Photonics Reviews, EarlyView.This work bridges classical and quantum polarimetry toward quantitative quantum photonic sensing of turbid environments. Theoretical and experimental investigations reveal how polarization‐entangled photonic states evolve in turbid media, uncovering robust trends in entanglement evolution and paving the way for advanced quantum sensing in biomedical ...
Vira R. Besaga +5 more
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A Further Generalization of Hardy-Hilbert's Integral Inequality with Parameter and Applications [PDF]
, 2004 In this paper, by introducing some parameters and by employing a sharpening of Hölder’s inequality, a new generalization of Hardy-Hilbert integral inequality involving the Beta function is established.
Dragomir, Sever S +2 more
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Advances in Position‐Momentum Entanglement: A Versatile Tool for Quantum Technologies
Laser &Photonics Reviews, EarlyView.Position–momentum entanglement constitutes a high‐dimensional continuous‐variable resource in quantum optics. Recent advances in its generation, characterization, and control are reviewed, with emphasis on spontaneous parametric down‐conversion and modern measurement techniques.
Satyajeet Patil +6 more
wiley +1 more source
On Further Analogs of Hilbert's Inequality
International Journal of Mathematics and Mathematical Sciences, 2007 By introducing the function |lnx−lny|/(x+y+|x−y|), we establish new inequalities similar to Hilbert's type inequality for integrals. As applications, we give its equivalent form as well.
Yongjin Li, You Qian, Bing He
doaj +1 more source
On some classes of limit cycles of planar dynamical systems [PDF]
, 2004 We consider two-dimensional smooth vector fields $dx/dt = P(x,y), dy/dt = Q(x,y)$ and estimate the maximal number of limit cycles with special properties which are defined by means of generalized Dulac and Cherkas functions.
Grin, Alexander, Schneider, Klaus R.
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Mathematische Nachrichten, EarlyView.Abstract This paper is devoted to the approximation of two‐ and three‐dimensional Dirac operators HV∼δΣ$H_{\widetilde{V} \delta _\Sigma }$ with combinations of electrostatic and Lorentz scalar δ$\delta$‐shell interactions in the norm resolvent sense. Relying on results from Behrndt, Holzmann, and Stelzer‐Landauer [Math. Nachr.
Jussi Behrndt +2 more
wiley +1 more source
On a New Extended Hardy–Hilbert’s Inequality with Parameters
Mathematics, 2020 In this paper, by introducing parameters and weight functions, with the help of the Euler−Maclaurin summation formula, we establish the extension of Hardy−Hilbert’s inequality and its equivalent forms.
Bicheng Yang, Shanhe Wu, Jianquan Liao
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Mathematical Methods in the Applied Sciences, EarlyView.A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay +2 more
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar +3 more
wiley +1 more source
On Some Extensions of Hardy-Hilbert's Inequality and Applications
Journal of Inequalities and Applications, 2007 By introducing some parameters we establish an extension of Hardy-Hilbert's integral inequality and the corresponding inequality for series. As an application, the reverses, some particular results and their equivalent forms are considered.
Azar LaithEmil
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