scholarly journals The Young Measure Representation for Weak Cluster Points of Sequences in M-spaces of Measurable Functions

2008 ◽  
Vol 56 (2) ◽  
pp. 109-120 ◽  
Author(s):  
Hôǹg Thái Nguyêñ ◽  
Dariusz Pączka
Keyword(s):  
Young Measure ◽  
Measurable Functions ◽  
Measure Representation ◽  
Cluster Points

PaReSoGo: Dataset on party representation of social groups for 25 countries, 2002–2016

2021 ◽  
pp. 135406882110238
Author(s):  
Olga Zelinska ◽  
Joshua K Dubrow
Keyword(s):  
Social Groups ◽  
European Social Survey ◽  
Political Elite ◽  
The Political ◽  
Dissimilarity Index ◽  
Social Scientists ◽  
Social Survey ◽  
Measure Representation ◽  
Gender And Age ◽  
The Masses

Whereas social scientists have devised various ways to measure representation gaps between the political elite and the masses across nations and time, few datasets can be used to measure this gap for particular social groups. Minding the gap between what parties social groups vote for and what parties actually attain seats in parliament can reveal the position of social groups in the political power structure. We help to fill this gap with a new publicly available dataset, Party Representation of Social Groups (PaReSoGo), consisting of 25 countries and 150 country-years, and a method for its construction. We used the European Social Survey 2002–2016 and ParlGov data for this time span to create a Dissimilarity Index. To demonstrate the utility and flexibility in the combination of cross-national surveys and administrative data, we chose social groups of gender, age, and education, as well as intersectional groups based on gender and age, and attitudinal groups. We conclude this research note with empirical illustrations of PaReSoGo’s use.

Lacunary ideal convergence in measure for sequences of fuzzy valued functions

2021 ◽  
Vol 40 (3) ◽  
pp. 5517-5526
Author(s):  
Ömer Kişi
Keyword(s):  
Measure Space ◽  
Finite Measure ◽  
Ideal Convergence ◽  
Convergence In Measure ◽  
Ideal Form ◽  
Measurable Functions ◽  
Finite Measure Space ◽  
Convergence Of Sequences

We investigate the concepts of pointwise and uniform I θ -convergence and type of convergence lying between mentioned convergence methods, that is, equi-ideally lacunary convergence of sequences of fuzzy valued functions and acquire several results. We give the lacunary ideal form of Egorov’s theorem for sequences of fuzzy valued measurable functions defined on a finite measure space ( X , M , μ ) . We also introduce the concept of I θ -convergence in measure for sequences of fuzzy valued functions and proved some significant results.

On a Singular Two-Point Boundary Value Problem for the Nonlinear mth-Order Differential Equation with Deviating Arguments

1997 ◽  
Vol 4 (6) ◽  
pp. 557-566
Author(s):  
B. Půža
Keyword(s):  
Differential Equation ◽  
Boundary Value Problem ◽  
Vector Function ◽  
Unique Solvability ◽  
Order Differential Equation ◽  
Boundary Value ◽  
Sufficient Conditions ◽  
Point Boundary ◽  
Deviating Arguments ◽  
Measurable Functions

Abstract Sufficient conditions of solvability and unique solvability of the boundary value problem u (m)(t) = f(t, u(τ 11(t)), . . . , u(τ 1k (t)), . . . , u (m–1)(τ m1(t)), . . . . . . , u (m–1)(τ mk (t))), u(t) = 0, for t ∉ [a, b], u (i–1)(a) = 0 (i = 1, . . . , m – 1), u (m–1)(b) = 0, are established, where τ ij : [a, b] → R (i = 1, . . . , m; j = 1, . . . , k) are measurable functions and the vector function f : ]a, b[×Rkmn → Rn is measurable in the first and continuous in the last kmn arguments; moreover, this function may have nonintegrable singularities with respect to the first argument.

Compact embeddings of some weighted Sobolev spaces on ℝN

1995 ◽  
Vol 117 (2) ◽  
pp. 333-338 ◽  
Author(s):  
Raffaele Chiappinelli
Keyword(s):  
Sobolev Spaces ◽  
Weighted Sobolev Spaces ◽  
Compact Embeddings ◽  
Measurable Functions ◽  
Image Position

Let ρ,ρ0,ρ1 be positive, measurable functions on ℝN. For 1 ≤ t < ∞, consider the weighted Lebesgue and Sobolev spaces

Vector-valued measurable functions

2019 ◽  
Vol 252 ◽  
pp. 1-8
Author(s):  
G.A. Bagheri-Bardi
Keyword(s):  
Measurable Functions ◽  
Vector Valued
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