# Search Results

## You are looking at 1 - 6 of 6 items for

• Author or Editor: A. Belov
• Refine by Access: All Content
Clear All Modify Search

# О некоторых локальны х свойствах суммы тригонометрическог о лакунарного ряда

Analysis Mathematica
Author: A. Belov

## Abstract

В статье изучается по ведение суммы лакуна рного тригонометрическог о ряда при приближени и к некоторой фиксиров анной произвольной т очке. Первая половина рабо ты посвящена изложен ию метода исследования локаль ных свойств суммы лакунарного ря да, разработанного ав тором. Вторая половина рабо ты посвящена приложе ниям этого метода. Здесь в частно сти, получаются необходи мые и достаточные усл овия для интегрируемости сум мы лакунарного ряда с весом при широк их условиях на вес. При ведем соответствующий рез ультат. Пустьϕр(x) — сумма ряда
\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$a + \sum\limits_{n = 1}^\infty {a_n \cos (\lambda _n x + \psi _n )}$$ \end{document}
, гдеа, а n,λ n,ψ n — действительные числа,εa n /2 <∞,a n≧0,λ n>0 приn≧1 и
\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$\mathop {\inf }\limits_{n \geqq 1} \lambda _{n + 1} /\lambda _n > 1$$ \end{document}
. При этих условиях функцияϕ(х) определена почти всю ду. Пустьр>0 иω(х) — положительная неуб ывающая функция, определенная при все хх>0, которая при некот оромC>0 удовлетворяет услов ию:ω(2x)≦ ≦Cω(х) при всехх>0. Тогда имеет место Теорема. Для того, чтоб ы интеграл
\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$\int\limits_{ + 0} {|\varphi (x)|^p \frac{{dx}}{{\omega (x)}}}$$ \end{document}
сходился, необходимо и достато чно, чтобы сходились все р яды
\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$\begin{gathered} \sum\limits_{n = 1}^\infty {D_n (\sum\limits_{k = n}^\infty {a_k^2 } )^{p/2} ,} \sum\limits_{n = 2}^\infty {D_n |a_n + \sum\limits_{k = 1}^{n - 1} {a_k \cos } \psi _k |^p ,} \hfill \\ \sum\limits_{n = 2}^\infty {D_n (pj)|\sum\limits_{k = 1}^{n - 1} {a_k \lambda _k^j \cos (\psi _k + \pi j/2)} |^p ,} j = 1,2,..., \hfill \\ \end{gathered}$$ \end{document}
, где
\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$D_n = \int\limits_{I_n } {\frac{{dx}}{{\omega (x)}},} D_n (pj) = \int\limits_{I_n } {\frac{{x^{pj} dx}}{{\omega (x)}},} a I_n = [\pi \lambda _n^{ - 1} ,\pi \lambda _{n - 1}^{ - 1} ]$$ \end{document}
Restricted access

# Thermal study of irradiated polyacetylene films

Journal of Thermal Analysis and Calorimetry
Authors: D. G. Belov, Yu. A. Ol'khov, G. P. Belov, T. I. Solovyeva, and G. I. Kozub

Polyacetylene films irradiated byγ-rays up to 100 MRad were studied by means of TMA, DTG and DSC methods.

Restricted access

# Study of the isomeric ratios in photonuclear reactions of natural holmium and lutetium induced by bremsstrahlungs with endpoint energies in the giant dipole resonance region

Journal of Radioanalytical and Nuclear Chemistry
Authors: Tran Thiep, Truong An, Phan Cuong, Nguyen Vinh, and A. Belov

## Abstract

We have determined the isomeric ratios in 165Ho(γ, n)164m,gHo and 175Lu(γ, n)174m,gLu photonuclear reactions of natural holmium and lutetium induced by bremsstrahlungs with end-point energies in the giant dipole resonance (GDR) region. The investigated samples were irradiated at electron accelerator Microtron MT-25 of the Flerov Laboratory of Nuclear Reaction, Joint Institute for Nuclear Research, Dubna, Russia. The gamma spectra of the samples irradiated were measured with spectroscopic system consisting of 8192 channel analyzer and high-energy resolution (180 keV at gamma ray 1332 keV of 60Co) HP(Ge) semiconductor detector Canberra. The GENIE2000 (Canberra) computer program was used for data processing. The results were discussed and compared with those of other authors.

Restricted access

# Study of the isomeric ratios in photonuclear reactions of natural Selenium induced by bremsstrahlungs with end-point energies in the giant dipole resonance region

Journal of Radioanalytical and Nuclear Chemistry
Authors: Tran Thiep, Truong An, Nguyen Khai, Phan Cuong, Nguyen Vinh, A. Belov, and O. Maslov

## Abstract

We have determined the isomeric ratios in 74Se(γ, n)73m,gSe and 82Se(γ, n)81m,gSe photonuclear reactions of natural Selenium induced by bremsstrahlungs with end-point energies in the giant dipole resonance region. The investigated samples were irradiated at electron accelerator Microtron MT-25 of the Flerov Laboratory of Nuclear Reaction, Joint Institute for Nuclear Research, Dubna, Russia. The gamma spectra of the samples irradiated were measured with spectroscopic system consisting of 8,192 channel analyzer and high-energy resolution (180 keV at gamma ray 1,332 keV of 60Co) HP(Ge) semiconductor detector Canberra. The GENIE2000 (Canberra) computer program was used for data processing. The results were discussed and compared with those of other authors.

Restricted access

# The isomeric ratios in photonuclear reactions of natural tellurium induced by bremsstrahlungs with endpoint energies in the giant dipole resonance region

Journal of Radioanalytical and Nuclear Chemistry
Authors: Tran Thiep, Truong An, Phan Cuong, Nguyen Khai, Nguyen Vinh, A. Belov, and O. Maslov

## Abstract

We have determined the isomeric ratios in 120Te(γ, n)119m,gTe, 122Te(γ, n)121m,gTe, 128Te(γ, n)127m,gTe and 130Te(γ, n)129m,gTe photonuclear reactions of natural tellurium induced by bremsstrahlungs with end-point energies in the giant dipole resonance (GDR) region. The investigated samples were irradiated at electron accelerator Microtron MT-25 of the Flerov Laboratory of Nuclear Reaction, Joint Institute for Nuclear Research, Dubna, Russia. The gamma spectra of the samples irradiated were measured with spectroscopic system consisting of 8192 channel analyzer and high-energy resolution (180 keV at gamma ray 1,332 keV of 60Co) HP(Ge) semiconductor detector Canberra. The GENIE2000 (Canberra) computer program was used for data processing. The results were discussed and compared with those of other authors.

Restricted access

# Gamma activation analysis of marine sediments at Havana Bay, Cuba

Journal of Radioanalytical and Nuclear Chemistry
Authors: A. Gelen, N. López, O. D. Maslov, A. G. Belov, M. V. Gustova, O. Díaz, J. Beltrán, J. Soto, M. V. Manso Guevara, M. Pérez, and M. J. Simón

## Summary

Twenty six elements was studied preliminary in the superficial sediments of Havana Bay using gamma activation analysis by the electron accelerator microtron MT-25 at the Flerov Laboratory of Nuclear Reactions, JINR. Samples from five zones of Havana Bay including the three coves were analyzed. The obtained results show a close relation between the concentration levels of the studied elements and the pollution sources. Some elements (As, Ba, Ni, Pb, Cu, Zn, Fe, Cr, Mn) have high concentration levels compared to the values for other environmental marine sediments reported in the literature.

Restricted access