2018
Том 70
№ 11

### All Issues

Articles: 31
Brief Communications (Ukrainian)

### Remark on the Lebesgue constant in the Rogosinski Kernel

Ukr. Mat. Zh. - 1997. - 49, № 7. - pp. 1002–1004

For every n, we compute the Lebesgue constant of Rogosinski kernel with any preassigned accuracy.

Brief Communications (Ukrainian)

### To the memory of Valentin Anatol'evich Zmorovich

Ukr. Mat. Zh. - 1994. - 46, № 8. - pp. 1110–1111

Article (Ukrainian)

### Convergence of an algorithm for constructing snakes

Ukr. Mat. Zh. - 1994. - 46, № 7. - pp. 825–832

Article (Ukrainian)

### Approximation method of solution of boundary problems

Ukr. Mat. Zh. - 1987. - 39, № 3. - pp. 378–379

Article (Ukrainian)

### Evgeny Yakovlevich Remez (on his ninetieth birthday)

Ukr. Mat. Zh. - 1986. - 38, № 4. - pp. 128–131

Article (Ukrainian)

### The A-method and rational approximation

Ukr. Mat. Zh. - 1985. - 37, № 2. - pp. 250–252

Article (Ukrainian)

Ukr. Mat. Zh. - 1984. - 36, № 5. - pp. 567 – 571

Article (Ukrainian)

### Generalized problem of moments and the pade approximation

Ukr. Mat. Zh. - 1983. - 35, № 3. - pp. 297 — 302

Article (Ukrainian)

### Asymptotic behavior of Lebesgue constants in trigonometric interpolation

Ukr. Mat. Zh. - 1981. - 33, № 6. - pp. 736-744

Article (Ukrainian)

### Estimation of error of polynomial approximation of solutions of ordinary differential equations

Ukr. Mat. Zh. - 1979. - 31, № 1. - pp. 83–89

Article (Ukrainian)

### Approximation to functions of a complex variable on arcs

Ukr. Mat. Zh. - 1977. - 29, № 2. - pp. 254–259

Article (Ukrainian)

### On A. N. Kolmogorov's inequalities relating the upper bounds of derivatives of real functions defined on the whole axis

Ukr. Mat. Zh. - 1975. - 27, № 3. - pp. 291–299

Article (Ukrainian)

### A contribution to kolmogorov problem of relationships among upper bounds of derivatives of real functions given on entire axis

Ukr. Mat. Zh. - 1974. - 26, № 3. - pp. 300–317

Article (Ukrainian)

### On the efficient construction of polynomials which realize near-to-best approximation of the functions ex, sin x, etc.

Ukr. Mat. Zh. - 1973. - 25, № 4. - pp. 435—453

Article (Ukrainian)

### Method of expanding unity in regions with piecewise smooth boundaries as sums of algebraic polynomials of two variables having certain properties of a kernel

Ukr. Mat. Zh. - 1973. - 25, № 2. - pp. 179—192

Article (Ukrainian)

### On limiting values of an integral of Cauchy type for functions of zygmund classes

Ukr. Mat. Zh. - 1972. - 24, № 5. - pp. 601–617

Article (Ukrainian)

### Asymptotic equations for the supremums of approximations of functions of hölder's classes by rogosinski polynomials

Ukr. Mat. Zh. - 1972. - 24, № 4. - pp. 476–487

Article (Ukrainian)

### On the application of generalized Faber polynomials to the approximation of Cauchy-type integrals and functions of classes Ar in domains with a smooth and a piecewise-smooth boundary

Ukr. Mat. Zh. - 1972. - 24, № 1. - pp. 3–19

Article (Ukrainian)

### One method of constructing Tikhonov-type normals in the solution of systems of linear equations

Ukr. Mat. Zh. - 1971. - 23, № 2. - pp. 235–239

Article (Ukrainian)

### On the application of linear methods to the approximation by polynomials of functions which are solutions of Fredholm integral equations of the second kind II

Ukr. Mat. Zh. - 1970. - 22, № 5. - pp. 579—590

Article (Ukrainian)

### On the application of linear methods to the approximation by polynomials of functions which are solutions of Fredholm integral equations of the second kind. I

Ukr. Mat. Zh. - 1970. - 22, № 4. - pp. 461–480

Article (Ukrainian)

### Exact upper bound for approximations on classes of differential periodic functions using Rogosinski polynomials

Ukr. Mat. Zh. - 1970. - 22, № 4. - pp. 481–493

Article (Russian)

### Investigations in the theory of the approximation of analytic functions carried out at the Mathematics Institute, Academy of Sciences of the Ukrainian SSR

Ukr. Mat. Zh. - 1969. - 21, № 2. - pp. 173–192

Article (Ukrainian)

### On a constructive characteristic of functions of Hölder classes on closed sets with a piece-wise smooth boundary admitting zero angles

Ukr. Mat. Zh. - 1968. - 20, № 5. - pp. 603–619

Article (Ukrainian)

### Estimate of residue for some cubature formulas

Ukr. Mat. Zh. - 1968. - 20, № 2. - pp. 147–155

Article (Ukrainian)

### Analytic and harmonic transformations and the approximation of harmonic functions

Ukr. Mat. Zh. - 1967. - 19, № 5. - pp. 33–57

Brief Communications (Russian)

### A simple example of a continuous periodic function Unexpandable into a Fourier series

Ukr. Mat. Zh. - 1965. - 17, № 4. - pp. 103-104

Article (Russian)

### On the approximation of analytical functions in regions with a smooth boundary

Ukr. Mat. Zh. - 1965. - 17, № 1. - pp. 26-38

Article (Russian)

### Converse theorems of the theory of approximation of functions in complex regions

Ukr. Mat. Zh. - 1963. - 15, № 4. - pp. 365-375

An inequality is established for the modulus of the derivative of the algebraic polynomial $P_n(z)$ of degree $n$ to the effect that if, on an analytic arc $C$ on a piecewise-smooth boundary $C$ of a simply connected region $G$, $P_n(z)$ satisfies the condition $$|P_n(z)| \leq [\varrho_{l+1/n} (z)]^s \omega|\varrho_{l+1/n}(z)|, \quad(1)$$ where $\omega(t)$ is some modulus of continuity, $\varrho_{l+1/n}(z)$ is the distance from $z \in C$ to the $n$th line of level $C_n$ (i.e. to the line $\Phi(z) = R\left(1 + \cfrac1n\right)$, where $\Phi(z)$ is the mapping function of the outside $C$ on the outside of a unit circle, and $R$ is the conforming radius, $G$ and $s \leq 0$ then $$|P^1_n(z)| \leq A[\varrho_{l+1/n}(z)]^{s-1}\omega [\varrho_{l+1/n}(z)], A = const \quad(2)$$ After thjs an estimate is given of the continuity modulus of the rth derivative ($z$ is a whole number $\leq 0$) of the function $f(z)$ on $C$ under the condition that with each natural $n$ a polynomial $P,(z)$ can be found for it, such that $$|f(z) — P^1-n(z)| \leq [\varrho_{l+1/n}(z)]^r\omega [\varrho_{l+1/n}(z)]\quad(3)$$

Brief Communications (Russian)

### Approximation of nonperiodic functions of polynomials on a system of segments

Ukr. Mat. Zh. - 1963. - 15, № 1. - pp. 88-94

Brief Communications (Russian)

### On a property of almost periodic polynomials

Ukr. Mat. Zh. - 1961. - 13, № 4. - pp. 96-98