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Abstract <p>Following Arestov’s <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11957_2025_7232_Article_IEq3.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="13" /> </InlineMediaObject> <EquationSource Format="TEX">\(\Lambda\)</EquationSource> <!--ContMath2570011Rather-m3--> </InlineEquation>-method and the Schur–Szegő composition of polynomials,We present certain new <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11957_2025_7232_Article_IEq4.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="20" /> </InlineMediaObject> <EquationSource Format="TEX">\(L_{p}\)</EquationSource> <!--ContMath2570011Rather-m4--> </InlineEquation> inequalities for <InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11957_2025_7232_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="18" /> </InlineMediaObject> <EquationSource Format="TEX">\(N\)</EquationSource> <!--ContMath2570011Rather-m5--> </InlineEquation>-operators which include some known polynomial inequalities as special cases and new bounds in polynomial spaces.</p>

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On \(N\)-Operators and Arestov’s Inequalities within Schur–Szegő Compositions

  • 期刊论文

  • 发表日期：

    2025年8月26日

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  • N. A. Rather,
  • W. Naseer,
  • S. Gulzar

摘要

Abstract

Following Arestov’s \(\Lambda\) -method and the Schur–Szegő composition of polynomials,We present certain new \(L_{p}\) inequalities for \(N\) -operators which include some known polynomial inequalities as special cases and new bounds in polynomial spaces.