Results 11 to 20 of about 4,778,088 (249)
Extremal problems related to convexity
Journal of Inequalities and Applications, 2016 We consider the extremal problem of maximizing functions u in the class of real-valued biconvex functions satisfying a boundary condition ψ on a product of the unit ball with itself, with the ℓ p $\ell^{p}$ -norm. In 1986, Burkholder explicitly found the
Aimo Hinkkanen, Sineenuch Suwannaphichat
doaj +2 more sources
A Survey on Extremal Problems of Eigenvalues [PDF]
Abstract and Applied Analysis, 2012 Given an integrable potential q∈L1([0,1],ℝ), the Dirichlet and the Neumann eigenvalues λnD(q) and λnN(q) of the Sturm-Liouville operator with the potential q are defined in an implicit way. In recent years, the authors and their collaborators have solved
Ping Yan, Meirong Zhang
doaj +2 more sources
Application network programming method – knapsack problem and it’s modification [PDF]
E3S Web of Conferences, 2023 New method of multi-extremal optimization has been developed - a network programming method, which is based on the possibility to represent a complex function as a superposition of simpler functions. The paper deals with network (dichotomous) programming
Burkova Irina +2 more
doaj +1 more source
An extremal problem for polynomials [PDF]
Proceedings of the American Mathematical Society, 1994 Let f ( z ) =
Eremenko, A., Lempert, L.
openaire +2 more sources
On some interconnections between combinatorial optimization and extremal graph theory [PDF]
Yugoslav Journal of Operations Research, 2004 The uniting feature of combinatorial optimization and extremal graph theory is that in both areas one should find extrema of a function defined in most cases on a finite set.
Cvetković Dragoš M. +2 more
doaj +1 more source
On the Existence of an Extremal Function in the Delsarte Extremal Problem [PDF]
Mediterranean Journal of Mathematics, 2020 AbstractThis paper is concerned with a Delsarte-type extremal problem. Denote by$${\mathcal {P}}(G)$$P(G)the set of positive definite continuous functions on a locally compact abelian groupG. We consider the function class, which was originally introduced by Gorbachev,$$\begin{aligned}&{\mathcal {G}}(W, Q)_G = \left\{ f \in {\mathcal {P}}(G) \cap L^
Marcell Gaál, Zsuzsanna Nagy-Csiha
openaire +4 more sources
Some problems in extremal graph theory and finite geometry
, 2023 Lazebnik, FelixThis thesis is devoted to the study of several problems in extremal graph theory and finite geometry. We study properties such as girth, spectrum, and automorphism group of various families of algebraically defined graphs. We present a new
Taranchuk, Vladislav
core +1 more source
On extremal sets without coprimes [PDF]
, 1994 Ahlswede R, Khachatrian LH. On extremal sets without coprimes. Acta Arithmetica.
Levon Khachatrian +4 more
core +2 more sources
An extremal problem on trees and database theory [PDF]
Discrete Mathematics & Theoretical Computer Science, 2005 We consider an extremal problem on labelled directed trees and applications to database theory. Among others, we will show explicit keysystems on an underlying set of size $n$, that cannot be represented by a database of less than $2^{n(1-c\cdot \log ...
Gyula O.H. Katona, Krisztián Tichler
doaj +1 more source