<?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>0034-7426</journal-id>
<journal-title><![CDATA[Revista Colombiana de Matemáticas]]></journal-title>
<abbrev-journal-title><![CDATA[Rev.colomb.mat.]]></abbrev-journal-title>
<issn>0034-7426</issn>
<publisher>
<publisher-name><![CDATA[Universidad Nacional de Colombia y Sociedad Colombiana de Matemáticas]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0034-74262018000200171</article-id>
<article-id pub-id-type="doi">10.15446/recolma.v52n2.77157</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Sandwich theorem for reciprocally strongly convex functions]]></article-title>
<article-title xml:lang="es"><![CDATA[Teorema del Sandwich para funciones fuerte-recíprocamente convexas]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Bracamonte]]></surname>
<given-names><![CDATA[Mireya]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Giménez]]></surname>
<given-names><![CDATA[José]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Medina]]></surname>
<given-names><![CDATA[Jesús]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Escuela Superior Politécnica del Litoral Facultad de Ciencias Naturales y Matemática Departamento de Matemáticas]]></institution>
<addr-line><![CDATA[Guayaquil ]]></addr-line>
<country>Ecuador</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Universidad de los Andes Facultad de Ingeniería Departamento de Matemáticas]]></institution>
<addr-line><![CDATA[Mérida ]]></addr-line>
<country>Venezuela</country>
</aff>
<aff id="Af3">
<institution><![CDATA[,Universidad Centroccidental Lisandro Alvarado Departamento de Matemáticas ]]></institution>
<addr-line><![CDATA[Barquisimeto ]]></addr-line>
<country>Venezuela</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>12</month>
<year>2018</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>12</month>
<year>2018</year>
</pub-date>
<volume>52</volume>
<numero>2</numero>
<fpage>171</fpage>
<lpage>184</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S0034-74262018000200171&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S0034-74262018000200171&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S0034-74262018000200171&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract We introduce the notion of reciprocally strongly convex functions and we present some examples and properties of them. We also prove that two real functions f and g, de&#64257;ned on a real interval [a, b], satisfy   for all x, y &#8712; [a, b] and t &#8712; [0, 1] i&#64256; there exists a reciprocally strongly convex function h: [a, b] &#8594; R such that f (x) &#8804; h(x) &#8804; g(x) for all x &#8712; [a, b]. Finally, we obtain an approximate convexity result for reciprocally strongly convex functions; namely we prove a stability result of Hyers-Ulam type for this class of functions.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen En este artículo introducimos la noción de funciones recíproca-fuertemente convexas y presentamos algunos ejemplos y propiedades. Además se demuestran que dos funciones f y g, de&#64257;nidas en el intervalo real [a, b] satisfacen la desigualdad   para todo x, y &#8712; [a, b] y t &#8712; [0, 1] si, y sólo si, existe una función recíproca-fuertemente convexa h : [a, b] &#8594; R tal que f (x) &#8804; h(x) &#8804; g (x) para todo x &#8712; [a, b]. Finalmente, se obtiene un resultado de aproximación convexa para esta clase de funciones.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Convex functions]]></kwd>
<kwd lng="en"><![CDATA[Sandwich theorem]]></kwd>
<kwd lng="en"><![CDATA[Hyers-Ulam]]></kwd>
<kwd lng="es"><![CDATA[Funciones convexas]]></kwd>
<kwd lng="es"><![CDATA[Teorema del Sandwich]]></kwd>
<kwd lng="es"><![CDATA[Hyers-Ulam]]></kwd>
</kwd-group>
</article-meta>
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