Results 21 to 30 of about 545,686 (65)

Meromorphic functions with missing coefficients defined by $q$-derivative [PDF]

open access: yesJournal of Mahani Mathematical Research, 2023
By considering a fixed point in the punctured unit disk and using the $q$--derivative, a new subfamily of meromorphic and univalent functions is defined.
Shahram Najafzadeh   +3 more
doaj   +1 more source

On the convex layers of a planer dynamic set of points

open access: yesCeylon Journal of Science, 2018
The convex hull of a planer set of points can be defined as the set of vertices of the smallest convex polygon containing all the points. If S is a planer set of points then convex layers of S can be derived by iteratively computing the convex hull of S ...
K. R. Wijeweera, S. R. Kodituwakku
doaj   +1 more source

Weakly convex sets and modulus of nonconvexity [PDF]

open access: yes, 2010
We consider a definition of a weakly convex set which is a generalization of the notion of a weakly convex set in the sense of Vial and a proximally smooth set in the sense of Clarke, from the case of the Hilbert space to a class of Banach spaces with ...
Aubin   +20 more
core   +2 more sources

Extremal Approximately Convex Functions and Estimating the Size of Convex Hulls [PDF]

open access: yes, 1998
A real valued function $f$ defined on a convex $K$ is anemconvex function iff it satisfies $$ f((x+y)/2) \le (f(x)+f(y))/2 + 1. $$ A thorough study of approximately convex functions is made.
Dilworth, S. J.   +2 more
core   +3 more sources

NP-completeness of weakly convex and convex dominating set decision problems [PDF]

open access: yesOpuscula Mathematica, 2004
The convex domination number and the weakly convex domination number are new domination parameters. In this paper we show that the decision problems of convex and weakly convex dominating sets are \(NP\)-complete for bipartite and split graphs.
Joanna Raczek
doaj  

Set-Theoretic Inequalities Based on Convex Multi-Argument Approximate Functions via Set Inclusion

open access: yesJournal of Function Spaces, 2022
Hypersoft set is a novel area of study which is established as an extension of soft set to handle its limitations. It employs a new approximate mapping called multi-argument approximate function which considers the Cartesian product of attribute-valued ...
Atiqe Ur Rahman   +3 more
doaj   +1 more source

On Bishop–Phelps and Krein–Milman Properties

open access: yesMathematics, 2023
A real topological vector space is said to have the Krein–Milman property if every bounded, closed, convex subset has an extreme point. In the case of every bounded, closed, convex subset is the closed convex hull of its extreme points, then we say that ...
Francisco Javier García-Pacheco
doaj   +1 more source

About Directed d-Convex Simple Graphs [PDF]

open access: yesComputer Science Journal of Moldova, 2008
In this article we introduce a pseudo-metric on directed graphs, which forms there a family of convex sets. The graphs without d-convex sets, except empty set, sets of one vertex and set of all vertexes, are called d-convex simple.
Nadejda Sur, Sergiu Cataranciuc
doaj  

Known Results and Open Problems in Hypercomplex Convexity

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014
A subject, which is treated in this review, combines in one bundle some questions of convex, hypercomplex analysis, probability theory and geometry.
Zelinskii Yuri
doaj   +1 more source

Guarding curvilinear art galleries with edge or mobile guards via 2-dominance of triangulation graphs [PDF]

open access: yes, 2011
In this paper we consider the problem of monitoring an art gallery modeled as a polygon, the edges of which are arcs of curves, with edge or mobile guards. Our focus is on piecewise-convex polygons, i.e., polygons that are locally convex, except possibly
Avis   +20 more
core   +1 more source

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