<mods:mods version="3.3" xsi:schemaLocation="http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-3.xsd" xmlns:mods="http://www.loc.gov/mods/v3" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"><mods:titleInfo><mods:title>Формула Ньютона-Лейбница и квазианалитические классы функций на кривых</mods:title></mods:titleInfo><mods:name type="personal"><mods:namePart type="given">О. Ф.</mods:namePart><mods:namePart type="family">Герус</mods:namePart><mods:role><mods:roleTerm type="text">author</mods:roleTerm></mods:role></mods:name><mods:name type="personal"><mods:namePart type="given">С. А.</mods:namePart><mods:namePart type="family">Плакса</mods:namePart><mods:role><mods:roleTerm type="text">author</mods:roleTerm></mods:role></mods:name><mods:abstract>We give a proof of the Newton-Leibniz formula on certain classes of rectifiable Jordan curves. An analyticity criterion and sufficient conditions for a quasianalyticity of classes of functions given on a locally "chordarc"&#13;
curve (i.e. a curve, for which the ratio of the length of arc with a fixed endpoint to the length of chord subtending the arc is bounded by a number depending on the mentioned endpoint) is established.&#13;
числом, що залежить від вказаного кінця).</mods:abstract><mods:classification authority="lcc">Mathematical Analysis</mods:classification><mods:originInfo><mods:dateIssued encoding="iso8061">2006</mods:dateIssued></mods:originInfo><mods:genre>Article</mods:genre></mods:mods>