Scholarlink

We introduce moduli of smoothness which are equivalent to the error of approximation by the algebraic versions of trigonometric Jackson integrals in integral metric with weight of the form \(\left( {1 - {\text{x}}} \right)^{{ - \frac{1}{2} - \gamma_{1} }} { }\left( {1 + {\text{x}}} \right)^{{ - \frac{1}{2} - \gamma_{2} }}\) for \(\gamma_{1}\) , \(\gamma_{2} \in \left[ {0,\frac{1}{2}} \right).\) The results extend those in [12] from the case \(\gamma_{1} = \gamma_{2} = 0\) .

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 Characterization of the K-Functional for the Algebraic Version of the Trigonometric Jackson Integrals Gs, n in Generalized Weighted Integral Metric

  • 会议论文

  • 发表日期：

    2025年

查看全文
  • Teodora Zapryanova

摘要

We introduce moduli of smoothness which are equivalent to the error of approximation by the algebraic versions of trigonometric Jackson integrals in integral metric with weight of the form \(\left( {1 - {\text{x}}} \right)^{{ - \frac{1}{2} - \gamma_{1} }} { }\left( {1 + {\text{x}}} \right)^{{ - \frac{1}{2} - \gamma_{2} }}\) for \(\gamma_{1}\) , \(\gamma_{2} \in \left[ {0,\frac{1}{2}} \right).\) The results extend those in [12] from the case \(\gamma_{1} = \gamma_{2} = 0\) .