A sandwich with segment convexity
نویسندگان
چکیده
The aim of this note is to give a sufficient condition for pairs functions have convex separator when the underlying structure Cartan–Hadamard manifold, or more generally: reduced Birkhoff system. Some exotic behavior hulls are also studied.
منابع مشابه
Near convexity, metric convexity, and convexity
It is shown that a subset of a uniformly convex normed space is nearly convex if and only if its closure is convex. Also, a normed space satisfying a mild completeness property is strictly convex if and only if every metrically convex subset is convex. 1 Classical and constructive mathematics The arguments in this paper conform to constructive mathematics in the sense of Errett Bishop. This mea...
متن کاملNetwork Synchronization with Convexity
In this paper, we establish some new synchronization conditions for complex networks with nonlinear and nonidentical self-dynamics with switching directed communication graphs. In light of the recent works on distributed sub-gradient methods, we impose some integral convexity for the nonlinear node self-dynamics in the sense that the self-dynamics of a given node is the gradient of some concave...
متن کاملHam Sandwich with Mayo: A Stronger Conclusion to the Classical Ham Sandwich Theorem
The conclusion of the classical ham sandwich theorem of Banach and Steinhaus may be strengthened: there always exists a common bisecting hyperplane that touches each of the sets, that is, intersects the closure of each set. Hence, if the knife is smeared with mayonnaise, a cut can always be made so that it will not only simultaneously bisect each of the ingredients, but it will also spread mayo...
متن کاملA Probabilistic Convexity Measure
In order to improve the effectiveness of shape based classification there is an ongoing interest in creating new shape descriptors or creating new measures for descriptors that are already defined and used in shape classification tasks. Convexity is one of the most widely used shape descriptors and also one of the most studied in the literature. There are already several defined convexity measu...
متن کاملFree vibrations analysis of a sandwich rectangular plate with electrorheological fluid core
In this paper, a rectangular sandwich plate with a constrained layer and an electrorheological (ER) fluid core is investigated. The rectangular plate is covered an ER fluid core and a constraining layer to improve the stability of the system. The two outer layers of the sandwich structure are elastic. The viscoelastic materials express the middle layer behavior under electric field and small st...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2021
ISSN: ['0022-247X', '1096-0813']
DOI: https://doi.org/10.1016/j.jmaa.2021.125108