Convergence and divergence of higher-order Hermite or Hermite-Fejér interpolation polynomials with exponential-type weights

DOI10.5402/2012/904169zbMath1241.41002OpenAlexW2075161809WikidataQ58693129 ScholiaQ58693129MaRDI QIDQ429091

Ryozi Sakai, Gou Nakamura, Noriaki Suzuki, Hee Sun Jung

Publication date: 26 June 2012

Published in: ISRN Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5402/2012/904169

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Interpolation in approximation theory (41A05)

Related Items (1)

Positive interpolation operators with exponential-type weights

Cites Work

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• Orthonormal polynomials with exponential-type weights
• Derivatives of orthonormal polynomials and coefficients of Hermite-Fejér interpolation polynomials with exponential-type weights
• The Markov-Bernstein inequality and Hermite-Fejér interpolation for exponential-type weights
• Derivatives of integrating functions for orthonormal polynomials with exponential-type weights
• The degree of approximation of differentiable functions by Hermite interpolation polynomials
• Hermite and Hermite-Fejér interpolation and associated product integration rules on the real line: The \(L_ \infty\) theory
• Certain unbounded Hermite-Fejér interpolatory polynomial operators
• Pointwise convergence of Hermite-Fejér interpolation of higher order for Freud weights
• Orthonormal polynomials for generalized Freud-type weights and higher-order Hermite-Fejér interpolation polynomials
• Orthonormal polynomials with generalized Freud-type weights.
• Convergence of the derivatives of Hermite-Fejér interpolation polynomials of higher order based at the zeros of Freud polynomials
• Uniform or mean convergence of Hermite-Fejér interpolation of higher order for Freud weights
• SPECIFIC EXAMPLES OF EXPONENTIAL WEIGHTS
• Orthogonal polynomials for exponential weights

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