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We also get a generalized von Neumann inequality which gives a good control of ‖f rT* x+g rT x‖ (0⩽r<1) forx∈Handf,gin the disc algebra.
For illustrating our principle of constructing generalized von Mises densities at the hand of a concrete example, let P n denote the polygon having the n vertices I n, i = cos 2 π n ( i − 1 ), sin 2 π n ( i − 1 ) T, i = 1, …, n, n ≥ 3, and let K n be the convex body circumscribed by P n.
We introduce a new geometric constant (C_{NJ}^{(p)}(X)) for a Banach space X, called a generalized von Neumann-Jordan constant.
The generalized von Neumann Mullins relation can be expressed in terms of Λ.
A generalized von Mises yield criterion is hence introduced to model that elastic domain.
It is shown that these assumptions hold if and only if for S a generalized von Neumann equality is valid.
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Therefore, we propose a family of bivariate circular distributions with each marginal assuming a GVM distribution, and call this family the bivariate generalized von-Mises (BGVM).
We add more than a dozen statements as their applications, including generalized formulations of von Neumann minimax theorem, von Neumann intersection lemma, the Nash equilibrium theorem, and the Fan type minimax inequalities for any KKM spaces.
In 2001 [22], we obtained generalized forms of the von Neumann-Sion-type minimax theorem, the Fan-Ma intersection theorem, the Fan-Ma type analytic alternative, and the Nash-Ma-equilibrium theorem for -convex spaces.
It is known that the generalized (linear or nonlinear) von Neumann model, which is composed of an inequality system and a growth factor problem described by (1.1). is one of the most important issues in the input-output analysis [1 3], where, ( may not be equal to ), and are two nonnegative or positive maps from to.
In this paper, we derive generalized forms of the Ky Fan minimax inequality, the von Neumann-Sion minimax theorem, the von Neumann-Fan intersection theorem, the Fan-type analytic alternative, and the Nash equilibrium theorem for abstract convex spaces satisfying the partial KKM principle.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com