Inequalities for moduli of smoothness on two-point homogeneous spaces

Autor(es)

Carrijo, A. O. ; Jordao, T. ; Santos, C.

• Tipo de documento: Artigo Científico
• Fonte: POSITIVITY; v. 26, n. 3, p. 16-pg., 2022-07-01.

Resumo

We show an asymptotic relation between the fractional Peetre type K-functional and the modulus of smoothness on a compact two-point homogeneous space. This extends both: the well known results on the spherical setting and results for the modulus of smoothness with positive integer degree of smoothness. This is a natural continuation of the research including a previous characterization, obtained by first author in 2019 (Carrijo in Positivity 24:761-777, 2020). An application of the asymptotic relation obtained is employed to prove a reciprocal result for the standard decrease property of the degree of the fractional modulus of smoothness. (AU)

• Processo FAPESP: 19/02202-6 - Imersões entre espaços de funções de suavidade generalizada
• Beneficiário: Thaís Jordão
• Modalidade de apoio: Auxílio à Pesquisa - Regular