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arXiv · 1706.06295

On zeros of polynomials in best $L^p$-approximation and inserting mass points

K. Castillo·M. S. Costa·F. R. Rafaeli
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Abstract

The purpose of this note is to revive in $L^p$ spaces the original A. Markov ideas to study monotonicity of zeros of orthogonal polynomials. This allows us to prove and improve in a simple and unified way our previous result [Electron. Trans. Numer. Anal., 44 (2015), pp. 271-280] concerning the discrete version of A. Markov's theorem on monotonicity of zeros.

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K. Castillo, M. S. Costa, F. R. Rafaeli. 2017-06-20. On zeros of polynomials in best $L^p$-approximation and inserting mass points. https://arxiv.org/abs/1706.06295

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