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A lemma of considerable generality is proved from which one can obtain inequali- ties of Popoviciu’s type involving norms in a Banach space and Gram determinants.. Key words
On figures 2 and 6, the minimum, maximum and two of the intermediate free energies discussed in subsections 3.5 and 6.5 are shown for sinusoidal and exponential histories with n =
de la CAL, Using stochastic processes for studying Bernstein-type operators, Proceedings of the Second International Conference in Functional Analysis and Approximation The-
Analogs of this theorem were proved by Roitberg for nonregular elliptic boundary- value problems and for general elliptic systems of differential equations, the mod- ified scale of
[3] JI-CHANG KUANG, Applied Inequalities, 2nd edition, Hunan Education Press, Changsha, China, 1993J. FINK, Classical and New Inequalities in Analysis, Kluwer Academic
Thus, it follows from Remark 5.7.2, (i), that if every absolutely characteristic MLF is absolutely strictly radical, then we conclude that the absolute Galois group Gal(k/k (d=1) )
Correspondingly, the limiting sequence of metric spaces has a surpris- ingly simple description as a collection of random real trees (given below) in which certain pairs of
It provides a tool to prove tightness and conver- gence of some random elements in L 2 (0, 1), which is particularly well adapted to the treatment of the Donsker functions. This
