Discrete linear interpolatory operators.
Szabados, J. (2006)
Surveys in Approximation Theory (SAT)[electronic only]
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Szabados, J. (2006)
Surveys in Approximation Theory (SAT)[electronic only]
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A. Sharma, A. K. Varma (1968)
Annales Polonici Mathematici
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R. Taberski (1969)
Colloquium Mathematicae
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R. Taberski (1970)
Colloquium Mathematicae
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Günter Baszeński, Franz-Jürgen Delvos (1989)
Banach Center Publications
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Mario Milman (1993)
Collectanea Mathematica
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We give an extension of the commutator theorems of Jawerth, Rochberg and Weiss [9] for the real method of interpolation. The results are motivated by recent work by Iwaniek and Sbordone [6] on generalized Hodge decompositions. The main estimates of these authors are based on a commutator theorem for a specific operator acting on Lp spaces and through the use of the complex method of interpolation. In this note we give an extension of the Iwaniek-Sbordone theorem to general real interpolation...
Fernando Cobos, Alba Segurado (2014)
Banach Center Publications
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We investigate the behaviour of bilinear operators under limiting real methods. As an application, we show an interpolation formula for spaces of linear operators. Some results on norm estimates for bounded linear operators are also established.
Daniel Li, Hervé Queffélec, Luis Rodríguez-Piazza (2015)
Concrete Operators
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give estimates for the approximation numbers of composition operators on the Hp spaces, 1 ≤ p < ∞
Oliver Nowak (2010)
Open Mathematics
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Korovkin-type approximation theory usually deals with convergence analysis for sequences of positive operators. In this work we present qualitative Korovkin-type convergence results for a class of sequences of non-positive operators, more precisely regular operators with vanishing negative parts under a limiting process. Sequences of that type are called sequences of almost positive linear operators and have not been studied before in the context of Korovkin-type approximation theory....
Taşcu, Ioana, Horvat-Marc, Andrei (2004)
Acta Universitatis Apulensis. Mathematics - Informatics
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Zhuk, A.S., Zhuk, V.V. (2004)
Zapiski Nauchnykh Seminarov POMI
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Simian, Dana, Simian, Corina (2003)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Fernando Cobos Díaz (1989)
Revista Matemática de la Universidad Complutense de Madrid
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The behavior of compactness under real interpolation real is discussed. Classical results due to Krasnoselskii, Lions-Peetre, Persson, and Hayakawa are described, as well as others obtained very recently by Edmunds, Potter, Fernández, and the author.
R. Taberski (1971)
Colloquium Mathematicae
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