Results 21 to 30 of about 3,159 (156)
Mathematics, 2020 We introduce a new projection and contraction method with inertial and self-adaptive techniques for solving variational inequalities and split common fixed point problems in real Hilbert spaces.
Lateef Olakunle Jolaoso, Maggie Aphane
doaj +1 more source
On weighted means and their inequalities
Journal of Inequalities and Applications, 2021 In (Pal et al. in Linear Multilinear Algebra 64(12):2463–2473, 2016), Pal et al. introduced some weighted means and gave some related inequalities by using an approach for operator monotone functions.
Mustapha Raïssouli, Shigeru Furuichi
doaj +1 more source
Numerical analysis of doubly-history dependent variational inequalities in contact mechanics
Fixed Point Theory and Algorithms for Sciences and Engineering, 2021 This paper is devoted to numerical analysis of doubly-history dependent variational inequalities in contact mechanics. A fully discrete method is introduced for the variational inequalities, in which the doubly-history dependent operator is approximated ...
Wei Xu +5 more
doaj +1 more source
Exponential Inequalities for Positive Linear Mappings
Journal of Function Spaces, 2018 In this article, we present exponential-type inequalities for positive linear mappings and Hilbert space operators, by means of convexity and the Mond-Pečarić method. The obtained results refine and generalize some known results.
Mohammad Sababheh +2 more
doaj +1 more source
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 .
openaire +2 more sources
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
doaj +1 more source
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 \(P\geq 0\).
openaire +3 more sources
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
openaire +1 more source
Operator upper bounds for Davis-Choi-Jensen's difference in Hilbert spaces [PDF]
Mathematica MoravicaIn 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