Results 41 to 50 of about 148 (138)

Generalization of Hilbert's Integral Inequality [PDF]

Mathematical Inequalities & Applications, 2004
A generalization of the well-known Hilbert's inequality is given and several other results of this type obtained in the recent years follow as a special case from our result.
Pečarić, Josip, Brnetić, Ilko
openaire   +2 more sources

Quantization of Polaritons Confined in Dielectric Structures

Laser &Photonics Reviews, EarlyView.
This study addresses the limitations of the Hopfield model of strong light‐matter coupling in the case of structured dieletrics. A method to derive quantum models in the polariton basis using Bogoliubov transformation and third quantization is introduced, demonstrating how to boost interaction strength and engineer nonlocal interactions for strongly ...
Amir Rahmani, Dogyun Ko, Maciej Dems, Andrzej Opala, Michał Matuszewski   +4 more
wiley   +1 more source

Kernel Bounds for Parabolic Operators Having First‐Order Degeneracy at the Boundary

Mathematische Nachrichten, EarlyView.
ABSTRACT We study kernel estimates for parabolic problems governed by singular elliptic operators ∑i,j=1N+1qijDij+cDyy,cγ+1>0,γ=qN+1,N+1,$$\begin{equation*} \sum _{i,j=1}^{N+1}q_{ij}D_{ij}+c\frac{D_y}{y},\qquad \frac{c}{\gamma }+1>0, \quad \gamma =q_{N+1,N+1}, \end{equation*}$$in the half‐space R+N+1={(x,y):x∈RN,y>0}$\mathbb {R}^{N+1}_+=\lbrace (x,y ...
L. Negro, C. Spina
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
doaj   +1 more source

A highly accurate numerical method for solving boundary value problem of generalized Bagley‐Torvik equation

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, Mtema James Chin, Nazim I. Mahmudov   +2 more
wiley   +1 more source

On a new extended half-discrete Hilbert’s inequality involving partial sums

Journal of Inequalities and Applications, 2020
By applying the weight functions, the idea of introducing parameters, and Euler–Maclaurin summation formula, a new extended half-discrete Hilbert’s inequality with the homogeneous kernel and the beta, gamma function is given. The equivalent statements of
Xing Shou Huang, Ricai Luo, Bicheng Yang
doaj   +1 more source

Schur’s generalization of Hilbert’s inequality [PDF]

Proceedings of the American Mathematical Society, 1983
The method succeeds with equal ease, and gives the same result, when am, bn, Ck are square matrices of the same size over C and I denotes the Euclidean norm; as far as we know, this result is new. Further extensions involve additional ideas, however, and will be presented elsewhere.
Redheffer, Ray, Volkmann, Peter
openaire   +2 more sources

Exponential Stability of Higher Order Fractional Neutral Stochastic Differential Equation Via Integral Contractors

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, Dhanalakshmi Kasinathan, Ramkumar Kasinathan, Ravikumar Kasinathan   +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
doaj  

Social Sustainability in Circular Bioeconomy Business Models: Insights From Argentina

Sustainable Development, EarlyView.
ABSTRACT Research on circular bioeconomy business models (CBEBM) has largely prioritised environmental and economic aspects, leaving out the social pillar. To address this gap, this paper analyses to what extent and in what ways social sustainability is integrated into CBEBM, based on 12 cases from northern Argentina, a region with high potential for ...
Celina N. Amato, Mónica Buraschi, Karen M. Siegel   +2 more
wiley   +1 more source