Copositive approximation by rational functions with prescribed numerator degree

DOI10.1007/S11766-009-2076-5zbMath1212.41042OpenAlexW2145235217MaRDI QIDQ603183

Dansheng Yu, Song Ping Zhou

Publication date: 5 November 2010

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-009-2076-5

zbMATH Keywords

rational functionsapproximation ratecopositive approximation

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Approximation by other special function classes (41A30)

Cites Work

• Approximation by rational functions with prescribed numerator degree in \(L^p\) spaces for \(1<p<\infty\)
• On approximation by rational functions with prescribed numerator degree in \(L^p\) spaces
• On approximation in the \(L^ p\)-norm by reciprocals of polynomials
• On positive and copositive polynomial and spline approximation in \(L_ p[-1,1,\quad 0<p<\infty\)]
• Degree of Approximation of Real Functions by Reciprocals of Real and Complex Polynomials
• L_P Approximation by Reciprocals of Trigonometric and Algebraic Polynomials
• Degree of Approximation by Rational Functions with Prescribed Numerator Degree

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