The Stenger conjectures and the A-stability of collocation Runge-Kutta methods

نویسندگان

چکیده

Abstract Stenger conjectures are claims about the location of eigenvalues matrices whose elements certain integrals involving basic Lagrange interpolating polynomials supported on zeros orthogonal polynomials. In this paper, we show validity extended conjecture for families classical We also restricted Strenger a family Jacobi and generalized Laguerre A connection with -stability collocation Runge-Kutta methods is investigated.

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ژورنال

عنوان ژورنال: Journal of Inequalities and Applications

سال: 2023

ISSN: ['1025-5834', '1029-242X']

DOI: https://doi.org/10.1186/s13660-023-03019-8