Weighted Bergman Projection on the Hartogs Triangle [PDF]
We prove the $L^p$ regularity of the weighted Bergman projection on the Hartogs triangle, where the weights are powers of the distance to the singularity at the boundary. The restricted range of $p$ is proved to be sharp. By using a two-weight inequality
Chen, Liwei
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Investigating the Effect of Tourism on the Triangle of Poverty, Inequality and Economic Growth [PDF]
Along with the evolution of the relationship between tourism and economicgrowth, other aspects of economic welfare have been more attractive rather thaneconomic growth.
مهدیه رضاقلی زاده
doaj +1 more source
The Euler and Grace-Danielsson inequalities for nested triangles and tetrahedra: a derivation and generalisation using quantum information theory [PDF]
We derive several results in classical Euclidean elementary geometry using the steering ellipsoid formalism from quantum mechanics. This gives a physically motivated derivation of very non-trivial geometric results, some of which are entirely new.
Milne, Antony
core +3 more sources
Genuine monogamy relations in no-signaling theories—a geometric approach
Quantum correlations are subject to certain distribution rules represented by so-called monogamy relations. Derivation of monogamy relations for multipartite systems is a non-trivial problem, as the multipartite correlations reveal their behaviors in a ...
Junghee Ryu +4 more
doaj +1 more source
Path planning is an important area of mobile robot research, and the ant colony optimization algorithm is essential for analyzing path planning. However, the current ant colony optimization algorithm applied to the path planning of mobile robots still ...
Shuai Wu, Qingxia Li, Wenhong Wei
doaj +1 more source
Measuring economic inequality and risk: a unifying approach based on personal gambles, societal preferences and references [PDF]
The underlying idea behind the construction of indices of economic inequality is based on measuring deviations of various portions of low incomes from certain references or benchmarks, that could be point measures like population mean or median, or ...
Greselin, Francesca, Zitikis, Ricardas
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Geometric approaches to establish the fundamentals of Lorentz spaces $\mathbb{R}_2^3$ and $\mathbb{R}_1^2$ [PDF]
The aim of this paper is to investigate the orthogonality of vectors to each other and the Gram-Schmidt method in the Minkowski space $\mathbb{R}_2^3$.
Sevilay Çoruh Şenocak, Salim Yüce
doaj +1 more source
Banach Contraction Principle and Meir–Keeler Type of Fixed Point Theorems for Pre-Metric Spaces
The fixed point theorems in so-called pre-metric spaces is investigated in this paper. The main issue in the pre-metric space is that the symmetric condition is not assumed to be satisfied, which can result in four different forms of triangle ...
Hsien-Chung Wu
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Reverse triangle inequalities for potentials
We study the reverse triangle inequalities for suprema of logarithmic potentials on compact sets of the plane. This research is motivated by the inequalities for products of supremum norms of polynomials. We find sharp additive constants in the inequalities for potentials, and give applications of our results to the generalized polynomials.
Pritsker, I.E., Saff, E.B.
openaire +2 more sources
Inequalities that sharpen the triangle inequality for sums of $N$ functions in $L^p$ [PDF]
We study $L^p$ inequalities that sharpen the triangle inequality for sums of $N$ functions in $L^p$
Carlen, Eric A. +2 more
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