Results 11 to 20 of about 621,582 (323)
General optimal euclidean Sobolev and Gagliardo-Nirenberg inequalities
We prove general optimal euclidean Sobolev and Gagliardo-Nirenberg inequalities by using mass transportation and convex analysis results. Explicit extremals and the computation of some optimal constants are also provided.
Jurandir Ceccon, Marcos Montenegro
doaj +1 more source
Compositions and Averages of Two Resolvents: Relative Geometry of Fixed Points Sets and a Partial Answer to a Question by C. Byrne [PDF]
We show that the set of fixed points of the average of two resolvents can be found from the set of fixed points for compositions of two resolvents associated with scaled monotone operators.
Bauschke, Heinz H., Wang, Xianfu
core +1 more source
Variational methods in the presence of symmetry
The purpose of this paper is to survey and to provide a unified framework to connect a diverse group of results, currently scattered in the literature, that can be usefully viewed as consequences of applying variational methods to problems involving ...
Borwein Jonathan M., Zhu Qiji J.
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Sensitivity Analysis for Mirror-Stratifiable Convex Functions [PDF]
This paper provides a set of sensitivity analysis and activity identification results for a class of convex functions with a strong geometric structure, that we coined "mirror-stratifiable".
Fadili, Jalal +2 more
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AN EFFICIENT ALGORITHM FOR THE CONVEX HULL OF PLANAR SCATTERED POINT SET [PDF]
Computing the convex hull of a point set is requirement in the GIS applications. This paper studies on the problem of minimum convex hull and presents an improved algorithm for the minimum convex hull of planar scattered point set.
Z. Fu, Y. Lu
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On the enumeration of column-convex permutominoes [PDF]
We study the enumeration of \emphcolumn-convex permutominoes, i.e. column-convex polyominoes defined by a pair of permutations. We provide a direct recursive construction for the column-convex permutominoes of a given size, based on the application of ...
Nicholas R. Beaton +3 more
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HPPD: A Hybrid Parallel Framework of Partition-based and Density-based Clustering Algorithms in Data Streams [PDF]
Data stream clustering refers to the process of grouping continuously arriving new data chunks into continuously changing groups to enable dynamic analysis of segmentation patterns.
Ammar Abd Alazeez
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Variational Methods in Convex Analysis [PDF]
The authors use variational arguments, namely minimization arguments and decoupling mechanisms, to derive some fundamental theorems in convex analysis. Many important result in linear functional analysis can then be deduced as special cases.
Borwein, Jonathan M., Zhu, Qiji J.
openaire +2 more sources
A novel and efficient approach for line segment clipping against a convex polygon
This paper proposes a new line clipping algorithm against a convex polygon with 𝑂(𝑁) time complexity. The line segment is pruned against each extended edge of the polygon as the first step of the proposed algorithm.
K. R. Wijeweera +2 more
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On $\mathscr{M}$-convex functions
In this article, we introduce the notion of $\mathscr{M}$-convex functions, $\log$-$\mathscr{M}$-convex functions and the notion of quasi $\mathscr{M}$-convex functions. We derive some new analogues of Hermite-Hadamard like inequalities associated with $\
Muhammad Uzair Awan +3 more
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