Generalized Jacobi–Weierstrass operators and Jacobi expansions

Generalized Jacobi–Weierstrass operators and Jacobi expansions

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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Veröffentlicht in:Journal of inequalities and applications 2018, Vol.2018 (1), p.153-14, Article 153
Hauptverfasser: Adell, José A., Bustamante, Jorge, Merino, Juan J., Quesada, José M.
Format: Artikel
Sprache:eng
Schlagworte:
Abel–Cartwright means
Analysis
Applications of Mathematics
Fractional powers
Functionals
Jacobi–Weierstrass operators
Mathematics
Mathematics and Statistics
Nikolskii–Stechkin type inequality
Operators
Realization of K-functionals
Semi-groups of operators
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Zusammenfassung: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.
ISSN:1025-5834
1029-242X
1029-242X
DOI:10.1186/s13660-018-1747-2