<p>We explore some convergence notions for set-convergence coming from modern summability methods. Specifically, we will see the connections between Wijsman <i>f</i>-statistical convergence and Wijsman <i>f</i>-strong Cesàro convergence, when <i>f</i> is a modulus function that induces a density in <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41478_2025_941_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="13" /> </InlineMediaObject> <EquationSource Format="TEX">\(\mathbb {N}\)</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="double-struck">N</mi> </math></EquationSource> </InlineEquation>. </p>

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On set-convergence statistically modulated

  • María del Pilar Romero de la Rosa

摘要

We explore some convergence notions for set-convergence coming from modern summability methods. Specifically, we will see the connections between Wijsman f-statistical convergence and Wijsman f-strong Cesàro convergence, when f is a modulus function that induces a density in \(\mathbb {N}\) N .