Results 11 to 20 of about 5,610 (306)

Extremal problems related to convexity [PDF]

open access: yesJournal 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]

open access: yesAbstract 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

Multicoloured extremal problems [PDF]

open access: yesJournal of Combinatorial Theory, Series A, 2004
Let \({\mathcal A}_1,\dots,{\mathcal A}_k\) be set systems on the finite underlying set \(X\) which are called colours. A finite configuration of subsets of \(X\) with \(f\) elements is multicoloured (for this set of colours) if one can find a listing \(H_1,\dots,H_f\) of the configuration and a permutation \(\pi\) of \(\{1,\dots,k\}\) such that \(H_i\)
Béla Bollobás   +2 more
openaire   +3 more sources

Extremal broadcasting problems [PDF]

open access: yesDiscrete Applied Mathematics, 1989
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Labahn, Roger
openaire   +2 more sources

Some problems in extremal graph theory and finite geometry [PDF]

open access: yes, 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

Several problems in extremal combinatorics [PDF]

open access: yes, 2023
In this thesis, we study several problems from combinatorial probability theory, discrete geometry and extremal graph theory. We establish several extremal results towards our problems.
Zichao Dong (5972447)
core   +1 more source

An extremal problem for polynomials [PDF]

open access: yesProceedings 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]

open access: yesYugoslav 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]

open access: yesMediterranean 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

On an extremal problem [PDF]

open access: yesProceedings of the American Mathematical Society, 1979
Let X = ( x 1
openaire   +2 more sources

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