A matrix form of the Brunn-Minkowski inequality and geometric rates

2002 ◽  
Author(s):  
R. Zamir ◽  
M. Feder
Keyword(s):  
Minkowski Inequality ◽  
Matrix Form

scholarly journals A generalization of the matrix form of the Brunn-Minkowski inequality

2007 ◽  
Vol 83 (1) ◽  
pp. 125-134 ◽  
Author(s):  
Jun Yuan ◽  
Gangsong Lenga
Keyword(s):  
Minkowski Inequality ◽  
Matrix Form ◽  
Subject Classification ◽  
Primary 52A40 ◽  
The Matrix

AbstractIn this paper, we establish an extension of the matrix form of the Brunn-Minkowski inequality. As applications, we give generalizations on the metric addition inequality of Alexander.2000 Mathematics subject classification: primary 52A40.

scholarly journals New Generalizations and Results in Shift-Invariant Subspaces of Mixed-Norm Lebesgue Spaces \({L_{\vec{p}}(\mathbb{R}^d)}\)

Mathematics ◽  
2021 ◽  
Vol 9 (3) ◽  
pp. 227 ◽  
Author(s):  
Junjian Zhao ◽  
Wei-Shih Du ◽  
Yasong Chen
Keyword(s):  
Invariant Subspace ◽  
Type Inequality ◽  
Invariant Subspaces ◽  
Minkowski Inequality ◽  
Hölder Inequality ◽  
Stability Theorem ◽  
Mixed Norm ◽  
Lebesgue Spaces

In this paper, we establish new generalizations and results in shift-invariant subspaces of mixed-norm Lebesgue spaces Lp→(Rd). We obtain a mixed-norm Hölder inequality, a mixed-norm Minkowski inequality, a mixed-norm convolution inequality, a convolution-Hölder type inequality and a stability theorem to mixed-norm case in the setting of shift-invariant subspace of Lp→(Rd). Our new results unify and refine the existing results in the literature.

An Application of Fuzzy Clustering to Customer Portfolio Analysis in Automotive Industry

2016 ◽  
Vol 5 (2) ◽  
pp. 13-25
Author(s):  
Abdulkadir Hiziroglu ◽  
Umit Dursun Senbas
Keyword(s):  
Fuzzy Clustering ◽  
Automotive Industry ◽  
Quantitative Assessment ◽  
Portfolio Analysis ◽  
Matrix Form ◽  
Automotive Supplier ◽  
Qualitative And Quantitative ◽  
Marketing Managers ◽  
The Matrix

Having achieved an optimized customer portfolio has been of significant importance for companies. The literature provides several portfolio models and vast majority of them are in matrix form where several descriptors are used as dimensions of the matrix. These dimensions are characterized in ambiguity and require specific methods to tackle with it. The aim of this paper is to utilize fuzzy clustering in customer portfolio analysis to reduce this uncertainty and to make a comparison with a traditional customer portfolio model. A dataset of 130 customers of an automotive supplier in Turkey is used to perform the analyses and the results are compared with a conventional customer portfolio matrix. By making use of substantiality and balance of portfolio parameters, a qualitative and quantitative assessment of categorization generated by both approaches are evaluated. The use of fuzzy clustering gives more substantial clusters and a more balanced customer portfolio compared to the traditional matrix form of portfolio. Marketing managers can understand their overall customer portfolio better and reduce the effect of descriptive indicators via benefiting the fuzzy clustering results.

Quantum Mechanics in Simple Matrix Form

1986 ◽  
Vol 54 (12) ◽  
pp. 1154-1155 ◽  
Author(s):  
Thomas F. Jordan ◽  
Kannan Jagannathan
Keyword(s):  
Quantum Mechanics ◽  
Matrix Form ◽  
Simple Matrix

Manipulation of main lobe number and azimuth angle of terahertz-transmitted beams by matrix-form-coding metasurface

2019 ◽  
Vol 125 (9) ◽  
Author(s):  
Bo Fang ◽  
Xun Bie ◽  
Zhigang Yan ◽  
Haiyong Gan ◽  
Chenxia Li ◽  
...  
Keyword(s):  
Azimuth Angle ◽  
Matrix Form ◽  
Main Lobe
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