Scholarlink

<p>The aim of this paper is to characterize a fractal operator associated with multivariable fractal interpolation functions and study the several properties of this fractal operator. Further, with the help of this operator, we characterize a latest category of functions and study their approximation aspects. The basic characteristics of this multivariable fractal operator’s are given in several ways in this note. The extension of this fractal operator to the <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="40065_2025_533_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="20" /> </InlineMediaObject> <EquationSource Format="TEX">\(L^p\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>L</mi> <mi>p</mi> </msup> </math></EquationSource> </InlineEquation>-spaces for <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="40065_2025_533_Article_IEq2.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="42" /> </InlineMediaObject> <EquationSource Format="TEX">\( p \ge 1\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>p</mi> <mo>≥</mo> <mn>1</mn> </mrow> </math></EquationSource> </InlineEquation> are also examined. Multivariable continuous fractal functions approximation characteristics are also examined.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Further analysis of multivariable fractal functions

  • 期刊论文

  • 发表日期：

    2025年7月11日

查看全文
  • Amit Bawalia,
  • Vineeta Basotia,
  • Ajay Prajapati

摘要

The aim of this paper is to characterize a fractal operator associated with multivariable fractal interpolation functions and study the several properties of this fractal operator. Further, with the help of this operator, we characterize a latest category of functions and study their approximation aspects. The basic characteristics of this multivariable fractal operator’s are given in several ways in this note. The extension of this fractal operator to the \(L^p\) L p -spaces for \( p \ge 1\) p ≥ 1 are also examined. Multivariable continuous fractal functions approximation characteristics are also examined.