Joint spectral radius and ternary hermite subdivision

نویسندگان

چکیده

Abstract In this paper we construct a family of ternary interpolatory Hermite subdivision schemes order 1 with small support and ${\mathscr{H}}\mathcal {C}^{2}$ H C 2 -smoothness. Indeed, leaving the binary domain, it is possible to derive higher regularity than existing examples. The two-parameter whose -smoothness guaranteed whenever parameters are chosen from certain polygonal region. construction new inspired by geometric insight into scalar three-point scheme Hassan Dodgson. smoothness our proven means joint spectral radius techniques.

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ژورنال

عنوان ژورنال: Advances in Computational Mathematics

سال: 2021

ISSN: ['1019-7168', '1572-9044']

DOI: https://doi.org/10.1007/s10444-021-09854-x