2018
Том 70
№ 1

# Buldygin V. V.

Articles: 20
Article (Russian)

### Karamata theorem for regularly log-periodic functions

Ukr. Mat. Zh. - 2012. - 64, № 11. - pp. 1443-1463

We generalize the Karamata theorem on the asymptotic behavior of integrals with variable limits to the class of regularly log-periodic functions.

Article (English)

### On the convergence of positive increasing functions to infinity

Ukr. Mat. Zh. - 2010. - 62, № 10. - pp. 1299–1308

We study the conditions of convergence to infinity for some classes of functions extending the well-known class of regularly varying (RV) functions, such as, e.g., $O$-regularly varying (ORV) functions or positive increasing (PI) functions.

Obituaries (Ukrainian)

### Anatolii Yakovych Dorogovtsev

Ukr. Mat. Zh. - 2004. - 56, № 8. - pp. 1151-1152

Anniversaries (Ukrainian)

### Mykhailo Iosypovych Yadrenko (On His 70th Birthday)

Ukr. Mat. Zh. - 2002. - 54, № 4. - pp. 435-438

Article (English)

### Properties of a Subclass of Avakumović Functions and Their Generalized Inverses

Ukr. Mat. Zh. - 2002. - 54, № 2. - pp. 149-169

We study properties of a subclass of ORV functions introduced by Avakumović and provide their applications for the strong law of large numbers for renewal processes.

Article (Ukrainian)

### On the Levy-Baxter theorems for shot-noise fields. II

Ukr. Mat. Zh. - 1999. - 51, № 1. - pp. 12–31

We establish sufficient conditions under which shot-noise fields with a response function of a certain form possess the Levy-Baxter property on an increasing parametric set.

Brief Communications (Ukrainian)

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

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

Article (Ukrainian)

### Estimates of the supremum distribution for a certain class of random processes

Ukr. Mat. Zh. - 1993. - 45, № 5. - pp. 596–608

Exponential estimates of the “tails” of supremum distributions are obtained for a certain class of pre-Gaussian random processes. The results obtained are applied to the quadratic forms of Gaussian processes and to processes representable as stochastic integrals of processes with independent increments.

Article (Ukrainian)

### Comparison theorems and asymptotic behavior of correlation estimators in spaces of continuous functions. II

Ukr. Mat. Zh. - 1991. - 43, № 5. - pp. 579-583

Article (Ukrainian)

### Comparison theorems and asymptotic behavior of correlation estimates in spaces of continuous functions. I.

Ukr. Mat. Zh. - 1991. - 43, № 4. - pp. 482-489

Article (Ukrainian)

### Asymptotic properties of correlation bounds in functional spaces. I.

Ukr. Mat. Zh. - 1991. - 43, № 2. - pp. 179–187

Article (Ukrainian)

### A generalized summation of a random series

Ukr. Mat. Zh. - 1989. - 41, № 12. - pp. 1618–1623

Article (Ukrainian)

### Convergence of Fourier series of stationary Gaussian processes

Ukr. Mat. Zh. - 1987. - 39, № 3. - pp. 278–282

Article (Ukrainian)

### Cylindrical and Borel σ-algebras

Ukr. Mat. Zh. - 1986. - 38, № 1. - pp. 12–17

Article (Ukrainian)

### Oscillation of the realizations of bounded almost-sure Gaussian sequences

Ukr. Mat. Zh. - 1985. - 37, № 1. - pp. 110 – 111

Article (Ukrainian)

### Borel measures in nonseparable metric spaces

Ukr. Mat. Zh. - 1983. - 35, № 5. - pp. 552—556

Article (Ukrainian)

### Convergence of the decomposition of a Gaussian field

Ukr. Mat. Zh. - 1982. - 34, № 2. - pp. 137-143

Article (Ukrainian)

### Sub-Gaussian random variables

Ukr. Mat. Zh. - 1980. - 32, № 6. - pp. 723–730

Article (Ukrainian)

### Sub-Gaussian processes and convergence of random series in functional spaces

Ukr. Mat. Zh. - 1977. - 29, № 4. - pp. 443–454

Article (Ukrainian)

### On the structure of a ?-algebra of borel sets and the convergence of certain stochastic series in Banach spaces

Ukr. Mat. Zh. - 1975. - 27, № 4. - pp. 435–442