<?xml version="1.0" encoding="UTF-8"?>
<article article-type="Research Article">
  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher">journal-of-interdisciplinary-mathematics</journal-id>
      <journal-title-group>
        <journal-title>Journal of Interdisciplinary Mathematics</journal-title>
      </journal-title-group>
      <issn publication-format="electronic">2169-012X</issn>
      <issn publication-format="print">0972-0502</issn>
      <publisher>
        <publisher-name>Taru Publications</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.47974/JIM-1876</article-id>
      <title-group>
        <article-title>Inverse approximation theorem using Bernstein’s Durrmeyer operator in terms of 2nd modulus of smoothness</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes">
          <name>
            <surname>Ibrahim</surname>
            <given-names>Amenah Hassan</given-names>
          </name>
          <aff>Department of Mathematics, College of Science, Mustansiriyah University, Baghdad, Iraq</aff>
        </contrib>
      </contrib-group>
      <volume>27</volume>
      <issue>4</issue>
      <fpage>815</fpage>
      <lpage>819</lpage>
      <pub-date date-type="pub">
        <day>30</day>
        <month>06</month>
        <year>2024</year>
      </pub-date>
      <abstract>
        <p>Many inverse theorems have been proven using  the ordinary  modulus  of  smoothness but no one proved the invers theorems for approximation by Bernstein’s Durrmeyer operator  in terms 2nd modulus of smoothness.</p>
      </abstract>
      <kwd-group>
        <kwd>Approximation theory</kwd>
        <kwd>Bernstein’s durrmeyer operator</kwd>
        <kwd>Inverse theorems</kwd>
        <kwd>Modulus of Smoothness</kwd>
        <kwd>Usual weights</kwd>
      </kwd-group>
      <custom-meta-group>
        <custom-meta>
          <meta-name>access</meta-name>
          <meta-value>open</meta-value>
        </custom-meta>
        <custom-meta>
          <meta-name>retracted</meta-name>
          <meta-value>no</meta-value>
        </custom-meta>
      </custom-meta-group>
    </article-meta>
  </front>
</article>
