Scholarlink

<p>In the present paper we will introduce a new class of double sequences called <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="25_2025_2484_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="148" /> </InlineMediaObject> <EquationSource Format="TEX">\(DGM\left( p, \alpha ,\beta ,\gamma ,r\right) ,\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>D</mi> <mi>G</mi> <mi>M</mi> <mfenced close=")" open="("> <mi>p</mi> <mo>,</mo> <mi>α</mi> <mo>,</mo> <mi>β</mi> <mo>,</mo> <mi>γ</mi> <mo>,</mo> <mi>r</mi> </mfenced> <mo>,</mo> </mrow> </math></EquationSource> </InlineEquation> which is the generalization of a class considered by Szal and Duzinkiewicz. Moreover, we obtained in this note a sufficient condition for the uniform convergence of double sine series with coefficients belonging to this class.</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

A Sufficient Condition for Uniform Convergence of Double Sine Series with p-bounded Variation Coefficients

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年7月30日

查看全文
  • Mateusz Kubiak,
  • Bogdan Szal

摘要

In the present paper we will introduce a new class of double sequences called \(DGM\left( p, \alpha ,\beta ,\gamma ,r\right) ,\) D G M p , α , β , γ , r , which is the generalization of a class considered by Szal and Duzinkiewicz. Moreover, we obtained in this note a sufficient condition for the uniform convergence of double sine series with coefficients belonging to this class.