Scholarlink

<p>In the present article we obtain the wavelet associated approximation properties of <i>q</i>-Szász type operators by use of sequences of continuous functions on <InlineEquation ID="IEq1"> <EquationSource Format="MATHML"><math> <mo stretchy="false">[</mo> <mn>0</mn> <mo>,</mo> <mi mathvariant="normal">∞</mi> <mo stretchy="false">)</mo> </math></EquationSource> <EquationSource Format="TEX">$[0, \infty)$</EquationSource> </InlineEquation>. We construct the sequences of <i>q</i>-Szász type operators and introduce the Kantrovich variant of <i>q</i>-Szász type operators by wavelets, then obtain the <InlineEquation ID="IEq2"> <EquationSource Format="MATHML"><math> <msub> <mi>L</mi> <mi>p</mi> </msub> </math></EquationSource> <EquationSource Format="TEX">$L_{p}$</EquationSource> </InlineEquation>-approximation for <InlineEquation ID="IEq3"> <EquationSource Format="MATHML"><math> <mn>1</mn> <mo>≤</mo> <mi>p</mi> <mo>&lt;</mo> <mi mathvariant="normal">∞</mi> </math></EquationSource> <EquationSource Format="TEX">$1\leq p &lt; \infty $</EquationSource> </InlineEquation>. We obtain some characterization of second-order Lipschitz function spaces. We use the Ditzian-Totik <i>K</i>-functional and obtain some inequalities in <InlineEquation ID="IEq4"> <EquationSource Format="MATHML"><math> <msub> <mi>L</mi> <mi>p</mi> </msub> </math></EquationSource> <EquationSource Format="TEX">$L_{p}$</EquationSource> </InlineEquation> spaces.</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

Wavelets associated approximation enhanced by Szász-type operators initiated by q-properties

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2026年1月2日

查看全文
  • Md. Nasiruzzaman

摘要

In the present article we obtain the wavelet associated approximation properties of q-Szász type operators by use of sequences of continuous functions on [ 0 , ∞ ) $[0, \infty)$ . We construct the sequences of q-Szász type operators and introduce the Kantrovich variant of q-Szász type operators by wavelets, then obtain the L p $L_{p}$ -approximation for 1 ≤ p < ∞ $1\leq p < \infty $ . We obtain some characterization of second-order Lipschitz function spaces. We use the Ditzian-Totik K-functional and obtain some inequalities in L p $L_{p}$ spaces.