Results 1 to 10 of about 160,977 (322)
Improvements of operator reverse AM-GM inequality involving positive linear maps [PDF]
Journal of Inequalities and Applications, 2020 In this paper, we shall present some reverse arithmetic-geometric mean operator inequalities for unital positive linear maps. These inequalities improve some corresponding results due to Xue (J. Inequal. Appl. 2017:283, 2017).
Shazia Karim +2 more
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Opial type inequalities for linear differential operators [PDF]
Mathematical Inequalities & Applications, 1998 In the present paper, the author has given various \(L_p\) form Opial type inequalities for a linear differential operator \(L\), involving its related initial value problem solution \(y\), \(Ly\), the associated Green's function \(H\) and initial conditions points \(x_0\in\mathbb{R}\).
George A. Anastassiou
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A note on the theorem on differential inequalities [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2005 It is proved that if a linear operator $\ell:C([a,b];\mathbb{R})\rightarrow L([a,b];\mathbb{R})$ is nonpositive and for the initial value problem $$u''(t)=\ell(u)(t)+q(t),\quad u(a)=c_1,\quad u'(a)=c_2 $$ the theorem on differential inequalities is valid,
H. Stepankova
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Reverse inequalities for the numerical radius of linear operators in Hilbert spaces [PDF]
, 2006 Some elementary inequalities providing upper bounds for the difference of the norm and the numerical radius of a bounded linear operator on Hilbert spaces under appropriate conditions are ...
Sever S Dragomir
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On integral inequalities associated with a linear operator equation [PDF]
Proceedings of the American Mathematical Society, 1984 In this paper we apply control theoretic concepts to formulate and solve a generalized problem for the determination of best possible constants in integral inequalities. We investigate the problem of existence of functions for which the best constant is attained, and also the conditions satisfied by these functions.
M. B. Subrahmanyam
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Gaussian processes with linear operator inequality constraints [PDF]
, 2019 Published in JMLR: http://jmlr.org/papers/volume20/19-065/19-065 ...
Christian Agrell
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Sector operator inequalities involving positive linear maps
Journal of Inequalities and ApplicationsIn this note, we prove the pth power ( p ≥ 2 $p\geq 2$ ) of two new sector operator inequalities for positive linear maps which are due to Bedrani et al. (Positivity 25:1601-1629, 2021) and Nasiri (Filomat 38:3429-3438, 2024), respectively.
Jiqin Chen +3 more
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Optimal exponents for Hardy–Littlewood inequalities for m-linear operators [PDF]
Linear Algebra and its Applications, 2017 20 ...
Richard M. Aron +3 more
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Bargmann-Type Inequality for Half-Linear Differential Operators
Journal of Inequalities and Applications, 2009 By means of the Riccati technique, the authors obtain a Bargmann-type necessary condition for the existence of a nontrivial solution of the following perturbed half-linear Euler differential equation with at least \((n+1)\) zero points in \((0,\infty )\): \[ (\Phi(x^{\prime}))^{\prime}+[\gamma/t^{p}+c(t)]\Phi(x)=0, \] where \(\Phi (x):=|x|^{p - 2}x, p ...
Gabriella Bognár, Ondřej Došlý
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Opial Type Integral Inequalities for Widder Derivatives and Linear Differential Operators
International Journal of Analysis and Applications, 2015 In this paper we establish Opial type integral inequalities for Widder derivatives and linear di_erential operator. Also, for applications we construct some related inequalities as special cases.
Ghulam Farid, Josip Pecaric
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