Generalized Jacobi–Weierstrass operators and Jacobi expansions

Generalized Jacobi–Weierstrass operators and Jacobi expansions

Abstract 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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Bibliographic Details
Main Authors: José A. Adell, Jorge Bustamante, Juan J. Merino, José M. Quesada
Format: Article
Language:English
Published: SpringerOpen 2018-06-01
Series:Journal of Inequalities and Applications
Subjects:
Jacobi–Weierstrass operators
Abel–Cartwright means
Realization of K-functionals
Semi-groups of operators
Fractional powers
Nikolskii–Stechkin type inequality
Online Access:http://link.springer.com/article/10.1186/s13660-018-1747-2

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http://link.springer.com/article/10.1186/s13660-018-1747-2

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