Results 31 to 40 of about 3,687,370 (267)

A note on the theorem on differential inequalities

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
doaj   +1 more source

The Furuta Inequality and an Operator Equation for Linear Operators

Publications of the Research Institute for Mathematical Sciences, 1999
We show that a special form of the Futura inequality is equivalent to an operator equation H^{\frac{p-2rn}{2(n+1)}} T (H^{\frac{p+2r}{n_+1}} T)^n H^{\frac{p-2_rn}{2(n+1)}} = K^p .
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A Predictor-Corrector Methods for Mixed Inverse Variational Inequalities [PDF]

, 2009
In this paper, a class of mixed inverse variational inequalities is introduced and studied. We prove the existence of the solution of the auxiliary problem for mixed inverse variational inequalities, suggest a predictor-corrector method for solving the ...
Shi, Chaofeng
core   +6 more sources

On the Landau-Kolmogorov inequality between $\| f' \|_{\infty}$, $\| f \|_{\infty}$ and $\| f''' \|_1$

Researches in Mathematics, 2019
We solve the Landau-Kolmogorov problem on finding sharp additive inequalities that estimate $\| f' \|_{\infty}$ in terms of $\| f \|_{\infty}$ and $\| f''' \|_1$.
D. Skorokhodov
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On operator inequalities and linear combinations of operators

Linear Algebra and its Applications, 1991
Given bounded linear operators \(A_1,\dots, A_k\), \(C\), and \(P\) on a Hilbert space, the author gives necessary and sufficient conditions for operator inequalities of type \(A_1 PA^*_1+\cdots A_k PA^*_k\geq CPC^*\) with \(P\geq 0\).
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On Ulyanov inequalities in Banach spaces and semigroups of linear operators

Journal of Approximation Theory, 2009
An equibounded semigroup \(\{T_X(t): t\geq0\}\) of class \(C_0\) given on a Banach space \((X, \|\cdot\|_X)\) is supposed to be compatible with \(\{T_Y(t): t\geq0\}\) given on a Banach space \((Y, \|\cdot\|_Y)\). The fractional power \((-A)^\alpha\), \(\alpha>0\), of the semigroup generator is introduced according to the second author [\textit{U ...
Walter Trebels, U. Westphal
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Operator upper bounds for Davis-Choi-Jensen's difference in Hilbert spaces [PDF]

Mathematica Moravica
In this paper we obtain several operator inequalities providing upper bounds for the Davis-Choi-Jensen's Difference Ph (f (A)) - f (Ph (A)) for any convex function f : I → R, any selfadjoint operator A in H with the spectrum Sp (A) ⊂ I and any linear ...
Dragomir Silvestru Sever
doaj   +1 more source

Gaussian processes with linear operator inequality constraints

CoRR, 2019
Published in JMLR: http://jmlr.org/papers/volume20/19-065/19-065 ...
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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 ...
Ondřej Došlý, Gabriella Bognár   +1 more
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General Weighted Opial Inequalities for Linear Differential Operators

Journal of Mathematical Analysis and Applications, 1999
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Anastassiou, George A., Pečarić, J.
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