Scholarlink

<p>In this paper, we investigate properties of Chebyshev polynomials of the first, second, third and fourth kind, sparking interest in constructing a theory similar to the classical one. Also we consider complex and real <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\((p,q)-\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <mi>p</mi> <mo>,</mo> <mi>q</mi> <mo stretchy="false">)</mo> <mo>-</mo> </mrow> </math></EquationSource> </InlineEquation>extension Chebyshev wavelets on <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(|x|\le 1\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">|</mo> <mi>x</mi> <mo stretchy="false">|</mo> <mo>≤</mo> <mn>1</mn> </mrow> </math></EquationSource> </InlineEquation>. We define complex best uniformly approximation, we obtain some results real <InlineEquation ID="IEq6"> <EquationSource Format="TEX">\((p,q)-\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <mi>p</mi> <mo>,</mo> <mi>q</mi> <mo stretchy="false">)</mo> <mo>-</mo> </mrow> </math></EquationSource> </InlineEquation>extension Chebyshev and complex best uniformly approximations.</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

Real and Complex \((p,q)-\)extension Chebyshev Polynomials and Complex Best Uniformly Approximation

  • 期刊论文

  • 发表日期：

    2026年1月9日

查看全文
  • H. Mazaheri,
  • S. M. Jesmani

摘要

In this paper, we investigate properties of Chebyshev polynomials of the first, second, third and fourth kind, sparking interest in constructing a theory similar to the classical one. Also we consider complex and real \((p,q)-\) ( p , q ) - extension Chebyshev wavelets on \(|x|\le 1\) | x | ≤ 1 . We define complex best uniformly approximation, we obtain some results real \((p,q)-\) ( p , q ) - extension Chebyshev and complex best uniformly approximations.