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    <full_title>International Journal of Neutrosophic Science</full_title>
    <abbrev_title>IJNS</abbrev_title>
    <issn media_type="print">2692-6148</issn>
    <issn media_type="electronic">2690-6805</issn>
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     <year>2025</year>
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    <journal_volume>
     <volume>26</volume>
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    <issue>4</issue>
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    <titles>
     <title>The Degree of Best Approximation of Functions via Some Linear Operators</title>
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     <person_name sequence="first" contributor_role="author">
      <given_name>Humam A.</given_name>
      <surname>Abdulrazzaq</surname>
      <affiliations>
       <institution>
        <institution_name>Department of Mathematics, Faculty of Education for Pure Sciences, University of Anbar, Ramadi, Anbar, Iraq</institution_name>
       </institution>
      </affiliations>
     </person_name>
     <person_name sequence="additional" contributor_role="author">
      <given_name>Raad Falih</given_name>
      <surname>Hasan</surname>
      <affiliations>
       <institution>
        <institution_name>Ministry of Education, General Directorate of Education, Baghdad, Third Rusafa, Iraq</institution_name>
       </institution>
      </affiliations>
     </person_name>
     <person_name sequence="additional" contributor_role="author">
      <given_name>Abed S.</given_name>
      <surname>A.</surname>
      <affiliations>
       <institution>
        <institution_name>College of Administration and Economics, Diyala University, Iraq</institution_name>
       </institution>
      </affiliations>
     </person_name>
     <person_name sequence="additional" contributor_role="author">
      <given_name>Faisal</given_name>
      <surname>Al-Sharqi</surname>
      <affiliations>
       <institution>
        <institution_name>Department of Mathematics, Faculty of Education for Pure Sciences, University of Anbar, Ramadi, Anbar, Iraq</institution_name>
       </institution>
      </affiliations>
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    <jats:abstract>
     <jats:p>The concentration of linear operators is unpretentious to prove in measurable space</jats:p>
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     <jats:p>EN-US;mso-bidi-language:AR-SA'&gt;[0,1] but there is few works in weighted space, here we will include characteristics of approximate of unrestrained functions in measured space by lined operators via direct and converse approximation theorems. In addition, the relationship between modulus of softness and K- functional where, we proven are together tools equivalence.</jats:p>
    </jats:abstract>
    <publication_date media_type="online">
     <year>2025</year>
    </publication_date>
    <pages>
     <first_page>167</first_page>
     <last_page>173</last_page>
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    <publisher_item>
     <item_number item_number_type="article-number">3906</item_number>
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     <doi>10.54216/IJNS.260416</doi>
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