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On One Inequality in Approximation Theory
Ukrainian Mathematical Journal, 2003Let \(\psi(t)\), \(t>0\), be a continuous nondecreasing function and let the function \(t^{-q}\psi(t)\), \(t>0,\) be convex for some \(p\geq 0\). It is proved that the inequality \[ x^p\psi(y)+y^p\psi(x)\leq (x^p+y^p)\psi\left(\frac{x+y}{2}\right),\;\; x,y>0,\;\;p\geq q/2, \] is true.
openaire +1 more source
2003
Many calculations of rates or cross sections will have to be carried out using reliable approximate theories, simply because the number of systems and the number of detailed rate constants needed for interpreting experimental data or performing chemical kinetic simulations is too large for an attempt to produce these numbers completely from first ...
openaire +1 more source
Many calculations of rates or cross sections will have to be carried out using reliable approximate theories, simply because the number of systems and the number of detailed rate constants needed for interpreting experimental data or performing chemical kinetic simulations is too large for an attempt to produce these numbers completely from first ...
openaire +1 more source
An approximation approach for uncertainty quantification using evidence theory
Reliability Engineering and System Safety, 2004Robert A Canfield +2 more
exaly
Communication: Random phase approximation renormalized many-body perturbation theory
Journal of Chemical Physics, 2013Filipp Furche, Jefferson E. Bates
exaly

