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// Trudy Instituta Matematiki i Mekhaniki UrO RAN
// Archive
1992, Volume 2
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Contents
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Trudy Instituta Matematiki i Mekhaniki UrO RAN
On small interactions in finite groups
V. A. Belonogov
3
Tightly embedded subgroups with abelian fusion
N. D. Zyulyarkina, A. A. Makhnev
19
On some Szegő inequality for algebraic polynomials
V. V. Arestov
27
Weak-type inequalities for trigonometric polynomials
A. G. Babenko
34
Weak continuity of the metric projection on the weak compact sets
V. S. Balaganskii
42
Approximation by splines with nonfixed knots on a half-axis depending on the location of the knots
Yu. S. Vasil'ev
57
The best approximation of convolution-type operator on the class of doubly differentiable functions
T. V. Elina
70
Chebyshev systems of functions and embeddings of projective spaces
V. A. Koshcheev
79
Estimates of the metric
$\varepsilon$
-projection stability by means of the convexity modules of the space
A. V. Marinov
85
Dependence of the estimates of approximation by interpolating polynomials of 5-th degree upon geometric properties of triangle
Yu. N. Subbotin
110
The upper bound of the best rational approximation of entire functions on the positive semi-axis
P. A. Shulimanov
120
An algorithm of constructing the solvability set for linear differential games of high dimension
N. D. Botkin, E. A. Ryzantseva
128
Solution of the generalized Zermelo problem
V. A. Vakhrushev, A. V. Makhova
135
Construction of the value function in the linear differential game with the fixed terminal time
M. A. Zarkh, A. G. Ivanov
140
Generalization of the solution of the Hamilton–Jacobi equation on a smooth manifold
A. T. Krivonosov
156
A linear-quadratic game with incomplete information
S. V. Sleptsov, V. E. Tret'yakov
166
The optimal control of systems with incomplete and incorrect information
V. E. Tret'yakov, I. V. Tselischeva, G. I. Shishkin
176
Application of numerical methods of the theory of differential games to problems of take-off and abort landing of an aircraft
V. L. Turova
188
On equation and inequality systems with uncertain data
A. A. Vatolin
202
On a scheme of algorithms for finding the distance between polytopes
S. V. Plotnikov
214
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Steklov Math. Inst. of RAS
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