On the Iterates of Jackson Type Operator $${G_{s,n}}$$ G s , n

On the Iterates of Jackson Type Operator $${G_{s,n}}$$ G s , n

In this paper, we study the limit of the iterates of a large class of linear bounded operators preserving constants. We obtain in addition the limit of the iterates of algebraic version of the trigonometric Jackson integrals. The proofs are based on spectral theory of linear operators.

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Veröffentlicht in:Mediterranean journal of mathematics 2016-12, Vol.13 (6), p.5053-5061
Hauptverfasser: Zapryanova, T., Souroujon, D.
Format: Artikel
Sprache:eng
Schlagworte:
Linear operators
Mathematics
Spectral theory
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Zusammenfassung:In this paper, we study the limit of the iterates of a large class of linear bounded operators preserving constants. We obtain in addition the limit of the iterates of algebraic version of the trigonometric Jackson integrals. The proofs are based on spectral theory of linear operators.
ISSN:1660-5446
1660-5454
DOI:10.1007/s00009-016-0791-8