Geodesic

Trudy Instituta Matematiki i Mekhaniki UrO RAN

Sommaire

Yu.\,N.~Subbotin and N.\,I.~Chernykh's joint research activities
p. 4-7
Yurii Nikolaevich Subbotin. On the occasion of his 75th birthday
p. 8-13
Nikolai Ivanovich Chernykh. On the occasion of his 75th birthday
p. 14-18
Several sketches in a~spline tonality
p. 19-23
On the (bi)infinite case of Shadrin's theorem concerning the $L_\infty$-boundedness of the $L_2$-spline projector
p. 24-29
On ill-posed problems of localization of singularities
p. 30-45
Best approximation of the operator of analytic continuation on the class of functions analytic in a~strip
p. 46-54
Note on estimates for the growth order of sequences of multiple rectangular Fourier sums
p. 55-59
Kolmogorov-type inequalities for the norms of Riesz derivatives of multivariable functions and some applications
p. 60-70
Estimates of the Lebesgue function of Fourier sums over trigonometric polynomials orthogonal with a~weight not belonging to the spaces $L^r$ $(r>1)$
p. 71-82
Influence of smoothness on the error of approximation of derivatives under local interpolation on triangulations
p. 83-97
On convex closed bounded bodies without farthest points such that the closure of their complement is antiproximinal
p. 98-104
On the extremal problem about the minimum of the free term of a~nonnegative trigonometric polynomial
p. 105-121
Several extremal approximation problems for the characteristic function of a~spherical layer
p. 122-135
A version of the Turan problem for positive definite functions of several variables
p. 136-154
Sufficient stability conditions in the traveling salesman problem
p. 155-168
Sharp Lebesgue constants for interpolatory $\mathcal L$-splines of a~formally self-adjoint differential operator
p. 169-177
On the reconstruction of functions by the values of the $n$th differences with step~$1/n$
p. 178-185
Some classes of functions of a~linear closed operator
p. 186-200
On problems of putting a~carrier rocket into specified elliptic orbits
p. 201-216
The best $L_p$ approximation of the Laplace operator by linear bounded operators in the classes of functions of two and three variables
p. 217-224
The form of an extremal function in the Delsarte problem of finding an upper bound for the kissing number in the three-dimensional space
p. 225-232
Independence of error estimates of interpolation by cubic polynomials from the angles of a~triangle
p. 233-241
On symmetrical $4$-extensions of the grid $\Lambda^2$
p. 242-257
Interpolation in a~ball with a~minimum value of the $L_p$-norm of the Laplace operator
p. 258-265
Asymptotics of a~solution to a~linear optimal control problem in the singular case
p. 266-270
Chromatic uniqueness of elements of height~2 in lattices of complete multipartite graphs
p. 271-281
Sharp Markov brothers type inequality in the spaces $L_p$, $L_1$ on a~closed interval
p. 282-290
Form preservation under approximation by local exponential splines of an arbitrary order
p. 291-299
On relative widths of classes of differentiable functions.~III
p. 300-302
Iterative methods for solving linear operator equations in Banach spaces
p. 303-318
Two-scale relations for analogs of basis splines of small degrees
p. 319-323