Results 31 to 40 of about 467,935 (128)
Generalization of hilbert's integral inequality [PDF]
, 2010 In this paper we make some further generalization of well known Hilbert's inequality and its equivalent form in two dimensional case.
Castillo, René Erlin +1 more
core
A reverse extended Hardy–Hilbert’s inequality with parameters
Journal of Inequalities and Applications, 2023 In this paper, by virtue of the symmetry principle, applying the techniques of real analysis and Euler–Maclaurin summation formula, we construct proper weight coefficients and use them to establish a reverse extended Hardy–Hilbert’s inequality with multi-
Ricai Luo, Bicheng Yang, Xingshou Huang
doaj +1 more source
Asian Journal of Control, EarlyView.Abstract The linear‐quadratic regulator (LQR) problem of optimal control of an uncertain discrete‐time linear system (DTLS) is revisited in this paper from the perspective of Tikhonov regularization. We show that an optimally chosen regularization parameter reduces, compared to the classical LQR, the values of a scalar error function, as well as the ...
Fernando Pazos, Amit Bhaya
wiley +1 more source
Fractional Cesàro Matrix and its Associated Sequence Space
Concrete Operators, 2021 In this research, we introduce a new fractional Cesàro matrix and investigate the topological properties of the sequence space associated with this matrix.We also introduce a fractional Gamma matrix aswell and obtain some factorizations for the Hilbert ...
Roopaei H., İlkhan M.
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Stability of Viscous Three‐Dimensional Stratified Couette Flow via Dispersion and Mixing
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT This article explores the stability of stratified Couette flow in the viscous 3d$3d$ Boussinesq equations. In this system, mixing effects arise from the shearing background, and gravity acts as a restoring force leading to dispersive internal gravity waves.
Michele Coti Zelati +2 more
wiley +1 more source
On New Generalizations of Hilbert's Inequality [PDF]
, 2000 By introducing three parameters A, B, and λ, we give some generalizations of Hilbert's integral inequality and its equivalent form with the best constant factors.
Bicheng, Yang
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A New Extension of Hardy-Hilbert’s Inequality in the Whole Plane
Journal of Function Spaces, 2016 By the use of weight coefficients and Hermite-Hadamard’s inequality, a new extension of Hardy-Hilbert’s inequality in the whole plane with multiparameters and a best possible constant factor is given. The equivalent forms, the operator expressions, and a
Bicheng Yang, Qiang Chen
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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 +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
Inequalities Similar to Hilbert's Inequality
Abstract and Applied Analysis, 2013 In the present paper, we establish some new inequalities similar to Hilbert’s type inequalities. Our results provide some new estimates to these types of inequalities.
Chang-Jian Zhao
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