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<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.3 20210610//EN" "JATS-journalpublishing1-3.dtd">
<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">cheb</journal-id><journal-title-group><journal-title xml:lang="ru">Чебышевский сборник</journal-title><trans-title-group xml:lang="en"><trans-title>Chebyshevskii Sbornik</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2226-8383</issn><publisher><publisher-name>Tula State Lev Tolstoy  Pedagogical University</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.22405/2226-8383-2018-20-4-188-196</article-id><article-id custom-type="elpub" pub-id-type="custom">cheb-696</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>Статьи</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>Article</subject></subj-group></article-categories><title-group><article-title>Оценка необходимого начального экономического ресурса в задаче Рамсея–Касса–Купманса</article-title><trans-title-group xml:lang="en"><trans-title>Assessment of the necessary initial economic resource in the Ramsey–Kass–Koopmans problem</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Козко</surname><given-names>Артем Иванович</given-names></name><name name-style="western" xml:lang="en"><surname>Kozko</surname><given-names>Artem Ivanovich</given-names></name></name-alternatives><email xlink:type="simple">prozerpi@yahoo.co.uk</email></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Лужина</surname><given-names>Любовь Михайловна</given-names></name><name name-style="western" xml:lang="en"><surname>Luzhina</surname><given-names>Lyubov Mihailovna</given-names></name></name-alternatives><email xlink:type="simple">lluzhina@gmail.com</email></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Попов</surname><given-names>Антон Юрьевич</given-names></name><name name-style="western" xml:lang="en"><surname>Popov</surname><given-names>Anton Yurievich</given-names></name></name-alternatives></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Чирский</surname><given-names>Владимир Григорьевич</given-names></name><name name-style="western" xml:lang="en"><surname>Chirskii</surname><given-names>Vladimir Grirorevich</given-names></name></name-alternatives><email xlink:type="simple">vgchirskii@yandex.ru</email></contrib></contrib-group><pub-date pub-type="collection"><year>2019</year></pub-date><pub-date pub-type="epub"><day>13</day><month>02</month><year>2020</year></pub-date><volume>20</volume><issue>4</issue><fpage>188</fpage><lpage>196</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Козко А.И., Лужина Л.М., Попов А.Ю., Чирский В.Г., 2020</copyright-statement><copyright-year>2020</copyright-year><copyright-holder xml:lang="ru">Козко А.И., Лужина Л.М., Попов А.Ю., Чирский В.Г.</copyright-holder><copyright-holder xml:lang="en">Kozko A.I., Luzhina L.M., Popov A.Y., Chirskii V.G.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://www.chebsbornik.ru/jour/article/view/696">https://www.chebsbornik.ru/jour/article/view/696</self-uri><abstract><p>В статье исследуется полная полезность экономической деятельности на конечном отрезке времени в случае, когда функция полезности допускает с высокой точностью приближение линейной функцией. Приводится оценка наилучшего приближения функции полезности на отрезке с заданным отношением концов линейной функцией.</p></abstract><trans-abstract xml:lang="en"><p>The article investigates the full utility of economic activity in a finite period of time in thecase when the utility function admits with high accuracy the approximation of a linear function.The estimation of the best approximation of the utility function on the segment with a givenratio of the ends of the linear function is given.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>математическая модель</kwd><kwd>задача Рамсея-Касса-Купманса</kwd><kwd>конкурент- ные домохозяйства</kwd><kwd>максимизация полной полезности</kwd><kwd>аналитическая аппроксимация</kwd></kwd-group><kwd-group xml:lang="en"><kwd>mathematical model</kwd><kwd>Ramsey-Kass-Koopmans problem</kwd><kwd>competitive households</kwd><kwd>maximizing total utility</kwd><kwd>analytical approximation</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
