On Gautschi’s conjecture on subrange Jacobi polynomials-Reference-Cited by-同舟云学术

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On Gautschi’s conjecture on subrange Jacobi polynomials

Published:2022-01-14 Issue:1 Volume:1 Page:1-6
ISSN:
Container-title:Innovative Journal of Mathematics
language:
Short-container-title:IJM

Author:

Milovanovi Gradimir

Abstract

In this short note, we give a partial positive answer to Gautschi’s conjecture about the monotonicity of positive zeros of subrange Jacobi polynomials, stated recently in his paper [Numer. Algorithms 79 (2018), no. 3, 759–768].

Publisher

Sigmawings Publishing Company

Reference10 articles.

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2. 2. G. Da Fies, M. Vianello, Trigonometric Gaussian quadrature on subintervals of the period, Electron. Trans.Numer. Anal.39 (2012), 102-112. MR2995775

3. 3. G. Da Fies, M. Vianello, Algebraic cubature on planar lenses and bubbles, Dolomites Res. Notes Approx.5 (2012), 7-12.5.

4. 4. W. Gautschi, Orthogonal polynomials: computation and approximation. Numerical Mathematics and Scien-tific Computation, Oxford University Press, New York, 2004. MR2061539.

5. 5. W. Gautschi, Sub-range Jacobi polynomials, Numer. Algoritms61(2012), no. 4, 649-657. MR2995225.

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