Preliminary Estimating Method of Opponent’s Preferences Using Simple Weighted Functions for Multi-lateral Closed Multi-issue Negotiations

2016 ◽  
pp. 181-192 ◽  
Author(s):  
Shinji Kakimoto ◽  
Katsuhide Fujita
Keyword(s):  
Weighted Functions

scholarly journals On the Values of the Weighted -Zeta and -Functions

2011 ◽  
Vol 2011 ◽  
pp. 1-7
Author(s):  
T. Kim ◽  
S. H. Lee ◽  
Hyeon-Ho Han ◽  
C. S. Ryoo
Keyword(s):  
Zeta Functions ◽  
Bernoulli Numbers ◽  
Bernoulli Numbers And Polynomials ◽  
Weighted Functions

Recently, the modified -Bernoulli numbers and polynomials are introduced in (D. V. Dolgy et al., in press). These numbers are valuable to study the weighted -zeta and -functions. In this paper, we study the weighted -zeta functions and weighted -functions from the modified -Bernoulli numbers and polynomials with weight .

On a strengthened multidimensional Hilbert-type inequality

2014 ◽  
Vol 64 (5) ◽  
Author(s):  
Mario Krnić
Keyword(s):  
Hölder’S Inequality ◽  
Type Inequality ◽  
Hölder's Inequality ◽  
Weighted Functions ◽  
Hilbert Type

AbstractThe main objective of this paper is a study of the general refinement and converse of the multidimensional Hilbert-type inequality in the so-called quotient form. Such extensions are deduced with the help of the sophisticated use of the well-known Hölder’s inequality. The obtained results are then applied to homogeneous kernels with the negative degree of homogeneity. Also, we establish the conditions under which the constant factors involved in the established inequalities are the best possible. Finally, we consider some particular settings with homogeneous kernels and weighted functions. In such a way we obtain both refinements and converses of some actual results, known from the literature.

Zeta functions for certain non-hyperbolic systems and topological Markov approximations

1998 ◽  
Vol 18 (6) ◽  
pp. 1589-1612 ◽  
Author(s):  
MICHIKO YURI
Keyword(s):  
Gibbs Measure ◽  
Symbolic Dynamics ◽  
Hyperbolic Systems ◽  
Thermodynamic Formalism ◽  
Zeta Functions ◽  
Product Formula ◽  
Markov Approximation ◽  
Weighted Functions ◽  
Countable State

We study dynamical (Artin–Mazur–Ruelle) zeta functions for piecewise invertible multi-dimensional maps. In particular, we direct our attention to non-hyperbolic systems admitting countable generating definite partitions which are not necessarily Markov but satisfy the finite range structure (FRS) condition. We define a version of Gibbs measure (weak Gibbs measure) and by using it we establish an analogy with thermodynamic formalism for specific cases, i.e. a characterization of the radius of convergence in terms of pressure. The FRS condition leads us to nice countable state symbolic dynamics and allows us to realize it as towers over Markov systems. The Markov approximation method then gives a product formula of zeta functions for certain weighted functions.

Non-Local Stress and Stain Analysis at Crack Tip Based on Different Types of Weighted Functions

2010 ◽  
Vol 146-147 ◽  
pp. 198-201
Author(s):  
Zhong Chang Wang
Keyword(s):  
Stress Singularity ◽  
Crack Tip ◽  
Local Stress ◽  
Local Strain ◽  
Local Theory ◽  
Weighted Functions ◽  
Different Types ◽  
Non Local ◽  
Distribution Of Stress ◽  
Stain Analysis

The characteristics of different types of the weighted functions are discussed, and the dependency of the influence domain on the intrinsic length scale is examined. Distribution of stress field of I-II mixed mode crack is analyzed by non-local theory with different types of weighted functions. The effects of the stress intensity factor KI and KII on the all components of strains at the crack tip are analyzed by the non-local theories based on different types of weighted functions. The non-local strain will be considerably reduced. The size of non-local strain field with the bell-shaped weighted functions is larger than that obtained by either Green’s or Gaussian weighted functions. The non-local theory is instructive to avoid the trouble resulting from stress singularity at crack tip.

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