Generalized Jacobi–Weierstrass operators and Jacobi expansions

被引：0
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作者：
José A. Adell
Jorge Bustamante
Juan J. Merino
José M. Quesada
机构：
[1] Universidad de Zaragoza,Departamento de Métodos Estadísticos, Facultad de Ciencias
[2] Benemérita Universidad Autónoma de Puebla,Facultad de Ciencias Físico
[3] Universidad de Jaén,Matemáticas
来源：
Journal of Inequalities and Applications | / 2018卷
关键词：
Jacobi–Weierstrass operators; Abel–Cartwright means; Realization of ; -functionals; Semi-groups of operators; Fractional powers; Nikolskii–Stechkin type inequality; 41A35; 47D06;
D O I：
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学科分类号：
摘要：
We present a realization for some K-functionals associated with Jacobi expansions in terms of generalized Jacobi–Weierstrass operators. Fractional powers of the operators as well as results concerning simultaneous approximation and Nikolskii–Stechkin type inequalities are also considered.
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