Zolotarev problem in the metric of L1([?1, 1])

1975 ◽  
Vol 17 (1) ◽  
pp. 9-13 ◽  
Author(s):  
�. M. Galeev
Keyword(s):  
Zolotarev Problem

scholarly journals Erratum: Optimal ray sequences of rational functions connected with the zolotarev problem

1996 ◽  
Vol 12 (3) ◽  
pp. 437-438 ◽  
Author(s):  
A. L. Levin ◽  
E. B. Saff
Keyword(s):  
Rational Functions ◽  
Zolotarev Problem ◽  
Ray Sequences

scholarly journals Estimates for derivatives of rational functions and the fourth Zolotarev problem

2008 ◽  
Vol 19 (02) ◽  
pp. 253-260 ◽  
Author(s):  
A. L. Lukashov
Keyword(s):  
Rational Functions ◽  
Zolotarev Problem ◽  
Derivatives Of

scholarly journals Optimal Rational Functions for the Generalized Zolotarev Problem in the Complex Plane

2000 ◽  
Vol 38 (5) ◽  
pp. 1409-1424 ◽  
Author(s):  
B. Le Bailly ◽  
J. P. Thiran
Keyword(s):  
Complex Plane ◽  
Rational Functions ◽  
Zolotarev Problem

On a Zolotarev problem in the method of alternating directions

1977 ◽  
Vol 17 (2) ◽  
pp. 58-76 ◽  
Author(s):  
V.I. Lebedev
Keyword(s):  
Zolotarev Problem

scholarly journals Near-circularity for the rational Zolotarev problem in the complex plane

1992 ◽  
Vol 70 (1) ◽  
pp. 115-130 ◽  
Author(s):  
Gerhard Starke
Keyword(s):  
Complex Plane ◽  
Zolotarev Problem

Optimal ray sequences of rational functions connected with the Zolotarev problem

1994 ◽  
Vol 10 (2) ◽  
pp. 235-273 ◽  
Author(s):  
A. L. Levin ◽  
E. B. Saff
Keyword(s):  
Rational Functions ◽  
Zolotarev Problem ◽  
Ray Sequences

scholarly journals On a Multivariate Analog of the Zolotarev Problem

Mathematics ◽  
2021 ◽  
Vol 9 (15) ◽  
pp. 1728
Author(s):  
Yury Khokhlov ◽  
Victor Korolev
Keyword(s):  
Geometric Distribution ◽  
Stable Distributions ◽  
Random Sums ◽  
Random Vectors ◽  
Random Summation ◽  
Mixing Distributions ◽  
Random Index ◽  
Zolotarev Problem ◽  
Elliptically Contoured ◽  
Multivariate Geometric Distribution

A generalized multivariate problem due to V. M. Zolotarev is considered. Some related results on geometric random sums and (multivariate) geometric stable distributions are extended to a more general case of “anisotropic” random summation where sums of independent random vectors with multivariate random index having a special multivariate geometric distribution are considered. Anisotropic-geometric stable distributions are introduced. It is demonstrated that these distributions are coordinate-wise scale mixtures of elliptically contoured stable distributions with the Marshall–Olkin mixing distributions. The corresponding “anisotropic” analogs of multivariate Laplace, Linnik and Mittag–Leffler distributions are introduced. Some relations between these distributions are presented.

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