<?xml version="1.0" encoding="ISO-8859-1"?><article 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">
<front>
<journal-meta>
<journal-id>0120-419X</journal-id>
<journal-title><![CDATA[Revista Integración]]></journal-title>
<abbrev-journal-title><![CDATA[Integración - UIS]]></abbrev-journal-title>
<issn>0120-419X</issn>
<publisher>
<publisher-name><![CDATA[Universidad Industrial de Santander]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0120-419X2021000200129</article-id>
<article-id pub-id-type="doi">10.18273/revint.v39n2-2021001</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Una nueva prueba para una conjetura de Özban]]></article-title>
<article-title xml:lang="en"><![CDATA[A new proof for a Özban conjecture]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[CORONEL]]></surname>
<given-names><![CDATA[ANÍBAL]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[LOZADA]]></surname>
<given-names><![CDATA[ESPERANZA]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad del Bío-Bío Departamento de Ciencias Básicas ]]></institution>
<addr-line><![CDATA[Chillán ]]></addr-line>
<country>Chile</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Universidad del Bío-Bío Departamento de Ciencias Básicas ]]></institution>
<addr-line><![CDATA[Chillán ]]></addr-line>
<country>Chile</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>12</month>
<year>2021</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>12</month>
<year>2021</year>
</pub-date>
<volume>39</volume>
<numero>2</numero>
<fpage>129</fpage>
<lpage>135</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S0120-419X2021000200129&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S0120-419X2021000200129&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S0120-419X2021000200129&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen. En este artículo presentamos una prueba corta y elemental de la siguiente desigualdad algebraico-trigonométrica de tipo Laub-Ilani: cos(xy) + cos(yx) &#8805; cos(xx) + cos(yy) para x,y &#8712; [0, &#960;/2] que fue conjeturada por Özban ['New algebraic-trigonometric inequalities of Laub-Ilani type', Bull. Aust. Math. Soc. 96 (2017), 87-97] y recientemente probada por Matejícka ['Proof of one open inequality of Laub-Ilani type', Journal of Mathematical Inequalities, 14 (2020), 83-98]. La prueba se basa en las propiedades de las funciones potenciales-exponenciales y trigonométricas. MSC2010: 26D05, 26D07, 26D20.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract. In this paper, we present an elementary short proof of the following algebraic-trigonometric inequality of Laub-Ilani type: cos(xy )+cos(yx) &#8805; cos(xx) + cos(yy) for x,y &#8712; [0,&#960;/2] which was conjectured by Ozban ['New algebraic-trigonometric inequalities of Laub-Ilani type', Bull. Aust. Math. Soc. 96 (2017), 87-97] and recently proved by Mateji&#269;ka ['Proof of one open inequality of Laub-Ilani type', Journal of Mathematical Inequalities, 14 (2020), 83-98]. The proof is based on the properties of the power-exponential and trigonometric functions.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[Desigualdad de Laub-Ilani]]></kwd>
<kwd lng="es"><![CDATA[desigualdad trigonométrica]]></kwd>
<kwd lng="es"><![CDATA[desigualdad algebraica-trigonométrica]]></kwd>
<kwd lng="es"><![CDATA[desigualdad potencial-exponencial]]></kwd>
<kwd lng="en"><![CDATA[Laub-Ilani inequality]]></kwd>
<kwd lng="en"><![CDATA[trigonometric inequality]]></kwd>
<kwd lng="en"><![CDATA[algebraic-trigonometric inequality]]></kwd>
<kwd lng="en"><![CDATA[power-exponential inequality]]></kwd>
</kwd-group>
</article-meta>
</front><back>
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