Search Results - "Romanyuk, S. A."
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Taxonomic diversity of sputum microbiome in lung cancer patients and its relationship with chromosomal aberrations in blood lymphocytes
Published in Scientific reports (15-06-2020)“…Here we report a pilot-sized study to compare the taxonomic composition of sputum microbiome in 17 newly-diagnosed lung cancer (LC) patients and 17 controls…”
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Entropy Numbers and Widths for the Nikol’skii–Besov Classes of Functions of Many Variables in the Space L
Published in Analysis mathematica (Budapest) (01-03-2019)“…We establish order estimates for the entropy numbers of the Nikol’skii–Besov classes B p , θ r of periodic functions of many variables in the metric of the…”
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Approximation of the Classes of Periodic Functions of One and Many Variables from the Nikol’skii–Besov and Sobolev Spaces
Published in Ukrainian mathematical journal (01-11-2022)“…We establish the exact-order estimates for the best orthogonal trigonometric approximations of the Nikol’skii–Besov classes B 1 , θ r ( T d ) , 1 ≤ θ ≤ ∞ , of…”
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Kolmogorov Widths of the Nikol’skii–Besov Classes of Periodic Functions of Many Variables in the Space of Quasicontinuous Functions
Published in Ukrainian mathematical journal (01-07-2022)“…We obtain order estimates for the M -dimensional Kolmogorov widths of the Nikol’skii–Besov classes of periodic functions of many variables with predominant…”
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Estimates of Approximating Characteristics and the Properties of the Operators of Best Approximation for the Classes of Periodic Functions in the Space B1,1
Published in Ukrainian mathematical journal (2022)“…We obtain the exact-order estimates for the orthoprojection widths and similar approximating characteristics of the Sobolev classes W p , α r and…”
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Estimation of Some Approximating Characteristics of the Classes of Periodic Functions of One and Many Variables
Published in Ukrainian mathematical journal (2020)“…We establish the exact-order estimates for some approximating characteristics of the classes W p , α r and B p , θ r of periodic functions of one and many…”
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Kolmogorov Widths and Bilinear Approximations of the Classes of Periodic Functions of One and Many Variables
Published in Ukrainian mathematical journal (01-07-2018)“…We obtain the exact order estimates for the Kolmogorov widths of the classes W p g of periodic functions of one variable generated by the integral operators…”
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Trigonometric and Linear Widths for the Classes of Periodic Multivariate Functions
Published in Ukrainian mathematical journal (01-10-2017)“…We establish the exact-order estimates for the trigonometric widths of Nikol’skii–Besov B ∞ , θ r and Sobolev W ∞ , α r classes of periodic multivariate…”
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Approximating Characteristics of the Classes of Periodic Multivariate Functions in the Space B∞,1
Published in Ukrainian mathematical journal (01-07-2019)“…We obtain the exact-order estimates of the Kolmogorov widths and entropy numbers for the classes W p , α r and B p , θ r in the norm of the space B ∞, 1 …”
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Optimization of RNA storage in a biobank, as well as methods for manual and automated isolation of RNA from whole blood and leukocyte fraction
Published in Kardiovaskuli͡a︡rnai͡a︡ terapii͡a︡ i profilaktika (09-01-2022)“…Aim. To optimize the technique for the isolation and storage of ribonucleic acid (RNA) from whole blood and leukocyte fraction. Materials and methods …”
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Study of the Crack Resistance of Microarc Oxidation Coatings after Laser Doping with Zirconium Oxide
Published in Technical physics (01-11-2019)“…In this paper we present the results of a study of crack resistance of a microarc oxidation coating (MAO) after laser doping with zirconium oxide. Crack…”
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Entropy Numbers and Widths for the Classes Bp,θr of Periodic Functions of Many Variables
Published in Ukrainian mathematical journal (01-03-2017)“…We establish the exact-order estimates for the entropy numbers of the Nikol’skii–Besov classes of periodic functions of two variables in the space L ∞ and use…”
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Entropy Numbers and Widths for the Classes B p , θ r $$ {B}_{p,\theta}^r $$ of Periodic Functions of Many Variables
Published in Ukrainian mathematical journal (01-03-2017)Get full text
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Entropy Numbers and Widths for the Classes B p , θ r of Periodic Functions of Many Variables
Published in Ukrainian mathematical journal (01-01-2017)“…We establish the exact-order estimates for the entropy numbers of the Nikol’skii–Besov classes of periodic functions of two variables in the space L∞ and use…”
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Entropy numbers and widths for the classes [B.sup.r.sub.p,[theta]] of periodic functions of many variables
Published in Ukrainian mathematical journal (01-03-2017)“…We establish the exact-order estimates for the entropy numbers of the Nikol'skii-Besov classes of periodic functions of two variables in the space…”
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Estimation of the Entropy Numbers and Kolmogorov Widths for the Nikol’skii–Besov Classes of Periodic Functions of Many Variables
Published in Ukrainian mathematical journal (01-04-2016)“…We establish order estimates for the entropy numbers of the Nikol’skii–Besov classes B p , θ r of periodic functions of many variables in the space L q with…”
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On the Problem of Linear Widths of the Classes B p,θ r of Periodic Functions of Many Variables
Published in Ukrainian mathematical journal (01-12-2014)Get full text
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Best trigonometric and bilinear approximations of classes of functions of several variables
Published in Mathematical Notes (01-09-2013)“…Order-sharp estimates of the best orthogonal trigonometric approximations of the Nikol’skii-Besov classes B p,θ r of periodic functions of several variables in…”
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On the Problem of Linear Widths of the Classes Bp,θr of Periodic Functions of Many Variables
Published in Ukrainian mathematical journal (2014)“…We establish order estimates for the linear widths of the classes B p , θ r of periodic functions of many variables in the space L q for some relationships…”
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