External estimation of a segment function by a polynomial strip

被引：0

作者：

I. Yu. Vygodchikova

S. I. Dudov

E. V. Sorin

机构：

[1] Saratov State University,

来源：

Computational Mathematics and Mathematical Physics | 2009年 / 49卷

关键词：

estimation of a segment function; polynomial strip; subdifferential; alternance; snake problem;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The problem is considered of constructing a least-width strip with a polynomial axis that contains the graph of a given continuous segment function. Convex analysis methods are used to obtain a criterion for solving the problem in a form comparable to the Chebyshev alternance. Sufficient conditions for the uniqueness of a solution are given, including those taking into account the differential properties of the segment function to be estimated.

引用

页码：1119 / 1127

页数：8

共 50 条

[41] THE USE OF POLYNOMIAL SPLINES AND THEIR TENSOR-PRODUCTS IN MULTIVARIATE FUNCTION ESTIMATION - DISCUSSION
BUJA, A
ANNALS OF STATISTICS, 1994, 22 (01): : 171 - 177
[42] Estimation of the mean function with panel count data using monotone polynomial splines
Lu, Minggen
Zhang, Ying
BIOMETRIKA, 2007, 94 (03) : 705 - 718
[43] Polynomial estimation of eigenvalues
Hydorn, DL
Muirhead, RJ
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 1999, 28 (3-4) : 581 - 596
[44] ESTIMATION OF A REGRESSION POLYNOMIAL
ORLOV, AI
INDUSTRIAL LABORATORY, 1994, 60 (05): : 303 - 306
[45] ESTIMATION OF INFLUENCE FUNCTION OF EXTERNAL FACTORS ON ERROR OF AN ELECTRICAL MEASURING INSTRUMENT
ABULADZE, IV
BELYAEVSKII, AI
MEASUREMENT TECHNIQUES, 1973, 16 (06) : 804 - 808
[46] External properties of polynomial threshold functions
O'Donnell, Ryan
Servedio, Rocco A.
JOURNAL OF COMPUTER AND SYSTEM SCIENCES, 2008, 74 (03) : 298 - 312
[47] Closing the Gap for Pseudo-Polynomial Strip Packing
Jansen, Klaus
Rau, Malin
27TH ANNUAL EUROPEAN SYMPOSIUM ON ALGORITHMS (ESA 2019), 2019, 144
[48] On estimation of the probability mass function and the cumulative distribution function of a natural discrete one parameter polynomial exponential distribution
Mukherjee, Indrani
Maiti, Sudhansu S.
Shanker, Rama
INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, 2021, 60 (03): : 49 - 61
[49] ESTIMATION OF A REMAINDER OF LEGENDRE POLYNOMIAL GENERATING FUNCTION DEVELOPMENT (GENERALIZATION AND IMPROVEMENT OF BERNSTEIN INEQUALITY)
ANTONOV, VA
KHOLSHEVNIKOV, KV
VESTNIK LENINGRADSKOGO UNIVERSITETA SERIYA MATEMATIKA MEKHANIKA ASTRONOMIYA, 1980, (03): : 5 - 7
[50] Generalized high-order phase function for parameter estimation of polynomial phase signal
Wang, Pu
Djurovic, Igor
Yang, Jianyu
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2008, 56 (07) : 3023 - 3028

← 1 2 3 4 5 →