<?xml version="1.0"?>
<records>
  <record>
    <language>eng</language>
    <publisher>Ansari Education and Research Society</publisher>
    <journalTitle>Journal of Ultra Scientist of Physical Sciences</journalTitle>
    <issn/>
    <eissn/>
    <publicationDate>August 2019</publicationDate>
    <volume>31</volume>
    <issue>8</issue>
    <startPage>69</startPage>
    <endPage>78</endPage>
    <doi>http://dx.doi.org/10.22147/jusps-A/310801</doi>
    <publisherRecordId>1516</publisherRecordId>
    <documentType>article</documentType>
    <title language="eng">An Orthogonal Stabilization of Quadratic and Generalized Quadratic Functional Equations</title>
    <authors>
      <author>
        <name>KIRAN YADAV</name>
        <affiliationId>1</affiliationId>
      </author>
      <author>
        <name>A. K. MALIK</name>
        <affiliationId>2</affiliationId>
      </author>
    </authors>
    <affiliationsList>
      <affiliationName affiliationId="1">Department of Mathematics, Singhania University, Pacheri Bari, Jhunjhunu (Rajasthan), (India)</affiliationName>
      <affiliationName affiliationId="2">Department of Mathematics B. K. Birla Institute of Engineering &amp; Technology, Pilani (Rajasthan), (India)</affiliationName>
    </affiliationsList>
    <abstract language="eng">&lt;p&gt;This study is devoted to the stabilization of following quadratic and modified quadratic functional equations in orthogonal space&lt;/p&gt;&#xD;
&#xD;
&lt;p&gt;h (3x&amp;nbsp;&lt;img alt="pm" src="http://latex.codecogs.com/gif.latex?%5Cpm" /&gt;&amp;nbsp;y) = 16h(x) + h(x &lt;img alt="pm" src="http://latex.codecogs.com/gif.latex?%5Cpm" /&gt;&amp;nbsp;y)&amp;nbsp;,&lt;/p&gt;&#xD;
&#xD;
&lt;p&gt;and&lt;/p&gt;&#xD;
&#xD;
&lt;p&gt;h(x + ay) + h(x-ay) = 2a&lt;sup&gt;2&amp;nbsp;&lt;/sup&gt;&amp;nbsp;h(y) + 2h(x).&lt;/p&gt;&#xD;
</abstract>
    <fullTextUrl format="html">https://www.ultrascientist.org/paper/1516/</fullTextUrl>
    <keywords>
      <keyword language="eng"> Orthogonal spaces</keyword>
    </keywords>
    <keywords>
      <keyword language="eng">Quadratic </keyword>
    </keywords>
    <keywords>
      <keyword language="eng"> Modified functional equations</keyword>
    </keywords>
  </record>
</records>
