\(L_p\) metrics for compact convex sets
From MaRDI portal
Publication:1077718
DOI10.1016/0021-9045(85)90051-6zbMath0595.52005OpenAlexW1973195161MaRDI QIDQ1077718
Publication date: 1985
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-9045(85)90051-6
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Approximations and expansions (41A99) Random convex sets and integral geometry (aspects of convex geometry) (52A22)
Related Items
Strong consistency and rates of convergence for a random estimator of a fuzzy set, A class of bounds for convex bodies in Hilbert space, Hyperbolic geometry of shapes of convex bodies, A new family of metrics for compact, convex (fuzzy) sets based on a generalized concept of mid and spread, Directed projection functions of convex bodies, A spatial-type interval-valued median for random intervals, Local regression smoothers with set-valued outcome data, Piecewise linear approximations of set-valued maps, A constrained interval-valued linear regression model: a new heteroscedasticity estimation method, Hypothesis testing-based comparative analysis between rating scales for intrinsically imprecise data, Integrals of random fuzzy sets, Lipschitz selectors may not yield competitive algorithms for convex body chasing, An intrinsic volume metric for the class of convex bodies in ℝn, Inner products for Convex Bodies, Random fuzzy differential equations under generalized Lipschitz condition, A hypothesis testing-based discussion on the sensitivity of means of fuzzy data with respect to data shape, Central limit theorems for semi-discrete Wasserstein distances, Iterations of Minkowski valuations, The Cauchy problem for fuzzy differential equations, A note on fuzzy starshaped fuzzy sets, Metric spaces of fuzzy sets, Bertoluzza et al.'s metric as a basis for analyzing fuzzy data, A set arithmetic-based linear regression model for modelling interval-valued responses through real-valued variables, Congruence classes of fuzzy sets form a Banach space, Iterated function systems on multifunctions and inverse problems, Stability in the Aleksandrov‐Fenchel‐Jessen Theorem, On the Sobolev distance of convex bodies, On convex bodies close to ellipsoids, Orlicz metrics for convex bodies, Interval arithmetic-based simple linear regression between interval data: Discussion and sensitivity analysis on the choice of the metric, Large deviations for heavy-tailed random elements in convex cones, Stability Results for First Order Projection Bodies, Rejoinder on ``A distance-based statistical analysis of fuzzy number-valued data, Set-valued and interval-valued stationary time series, An Alternative Approach to the Median of a Random Interval Using an L 2 Metric, On circumscribed cylinders of convex sets, On the Robustness of Absolute Deviations with Fuzzy Data, Young's inequality for convolution and its applications in convex- and set-valued analysis, On the Aleksandrov--Fenchel inequality and the stability of the sphere, A stability estimate for the Aleksandrov-Fenchel inequality, with an application to mean curvature, On steepest descent curves for quasi convex families in Rn, Arithmetic and Distance-Based Approach to the Statistical Analysis of Imprecisely Valued Data, Comparing the Medians of a Random Interval Defined by Means of Two Different L 1 Metrics, Optimal design for multivariate multiple linear regression with set-identified response, Stability of inequalities in the dual Brunn-Minkowski theory, Analyzing the influence of the rating scale for items in a questionnaire on Cronbach coefficient alpha, Stability estimates for star bodies in terms of their intersection bodies, Inequalities for dual isoperimetric deficits, Some complete metrics on spaces of fuzzy subsets, The approximation theorem of convolution operator in \(\Delta^p\) set-valued function space, Stability results for sections of convex bodies
Cites Work
- Polygonal approximation of plane convex compacta
- Polygonal approximation of plane convex bodies
- On the deterministic and stochastic approximation of regions
- Stochastic Geometry: An Introduction and Reading-List
- Polar Means of Convex Bodies and a Dual to the Brunn-Minkowski Theorem
- Metrics for sets of convex bodies
- Ein Approximationssatz für konvexe Körper
- Unnamed Item
- Unnamed Item
- Unnamed Item