منابع مشابه
An Application of Subordination on Harmonic Function
The purpose of this paper is to obtain sufficient bound estimates for harmonic functions belonging to the classes S∗ H [A,B], KH [A,B] defined by subordination, and we give some convolution conditions. Finally, we examine the closure properties of the operator D on these classes under the generalized Bernardi integral operator.
متن کاملExtremal Dynamics Applied to Function Optimization
In this article is introduced the Generalized Extremal Optimization algorithm. Based on the dynamics of self-organized criticality, it is intended to be used in complex inverse design problems, where traditional gradient based optimization methods are not efficient. Preliminary results from a set of test functions show that this algorithm can be competitive to other stochastic methods such as t...
متن کاملThe Extremal Function for Two Disjoint Cycles∗
A theta graph is the union of three internally disjoint paths that have the same two distinct end vertices. We show that every graph of order n ≥ 9 and size at least b7n−13 2 c contains two disjoint theta graphs. We also show that every 2-edge-connected graph of order n ≥ 6 and size at least 3n− 5 contains two disjoint cycles, such that any specified vertex with degree at least three belongs to...
متن کاملThe Extremal Function for Complete Minors
Let G and H be graphs. As usual, we say that H is a minor or subcontraction of G if V(G) contains disjoint subsets Wu , u # V(H), such that G[Wu] is connected for each u # V(H) and there is an edge in G between Wu and Wv whenever uv # E(H). (Here, G[Wu] stands for the subgraph of G induced by Wu ; our notation is standard and follows that of Bolloba s [2].) We write GoH if H is a minor of G, an...
متن کاملTowers of function fields with extremal properties
For F/K an algebraic function field in one variable over a finite field of constants K (i.e., F is a finite algebraic extension of K(x) where x ∈ F is transcendental over K), let N(F ) and g(F ) denote the number of places of degree one and the genus, respectively, of F . Let F = (F1, F2, F3, . . .) be a tower of function fields, each defined over K. Further, we will assume that F1 ⊆ F2 ⊆ F3 . ...
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: Proceedings of the American Mathematical Society
سال: 1969
ISSN: 0002-9939
DOI: 10.2307/2035646