Mechanical Models for Hermite Interpolation on the Unit Circle

Mathematics

Alicia Cachafeiro¹  Elías Berriochoa¹  Héctor García Rábade²  JoséManuel García-Amor³ 

[1] Departamento de Matemática Aplicada I, Universidad de Vigo, 36310 Vigo, Spain;Departamento de Matemática Aplicada II, Universidad de Vigo, 32004 Ourense, Spain;Departamento de Matemáticas, Instituto E. S. Valle Inclán, 36001 Pontevedra, Spain;

关键词: Hermite interpolation;    nodal systems;    unit circle;    convergence;   

DOI  :  10.3390/math9091043

来源: DOAJ

【 摘 要 】

In the present paper, we delve into the study of nodal systems on the unit circle that meet certain separation properties. Our aim was to study the Hermite interpolation process on the unit circle by using these nodal arrays. The target was to develop the corresponding interpolation theory in order to make practical use of these nodal systems linked to certain mechanical models that fit these distributions.

【 授权许可】

Unknown