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<p>In this paper, some bounds of the <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13370_2025_1288_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="29" /> </InlineMediaObject> <EquationSource Format="TEX">\(\text {sinc}\)</EquationSource> <EquationSource Format="MATHML"><math> <mtext>sinc</mtext> </math></EquationSource> </InlineEquation> function from Huy et al. (Afr Mat 35:1–13, 2024) are generalised by introducing real parameters. These generalisations are based on the concept of stratification. Additionally, the best real values of the introduced parameters for which the corresponding inequalities hold are determined.</p>

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The best constants in some new sharp bounds for sinc function

  • 期刊论文

  • 发表日期：

    2025年4月7日

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  • Branko Malešević,
  • Miloš Mićović,
  • Bojana Mihailović,
  • Tatjana Lutovac,
  • Vesna Šešum-Čavić

摘要

In this paper, some bounds of the \(\text {sinc}\) sinc function from Huy et al. (Afr Mat 35:1–13, 2024) are generalised by introducing real parameters. These generalisations are based on the concept of stratification. Additionally, the best real values of the introduced parameters for which the corresponding inequalities hold are determined.