Displaying similar documents to “Bernstein-Durrmeyer type operators preserving linear functions”

L p -convergence of Bernstein-Kantorovich-type operators

Michele Campiti, Giorgio Metafune (1996)

Annales Polonici Mathematici

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We study a Kantorovich-type modification of the operators introduced in [1] and we characterize their convergence in the L p -norm. We also furnish a quantitative estimate of the convergence.

Aggregation, Non-Contradiction and Excluded-Middle.

Ana Pradera, Enric Trillas (2006)

Mathware and Soft Computing

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This paper investigates the satisfaction of the Non-Contradiction (NC) and Excluded-Middle (EM) laws within the domain of aggregation operators. It provides characterizations both for those aggregation operators that satisfy NC/EM with respect to (w.r.t.) some given strong negation, as well as for those satisfying them w.r.t. any strong negation. The results obtained are applied to some of the most important known classes of aggregation operators.

Additive combinations of special operators

Pei Wu (1994)

Banach Center Publications

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This is a survey paper on additive combinations of certain special-type operators on a Hilbert space. We consider (finite) linear combinations, sums, convex combinations and/or averages of operators from the classes of diagonal operators, unitary operators, isometries, projections, symmetries, idempotents, square-zero operators, nilpotent operators, quasinilpotent operators, involutions, commutators, self-commutators, norm-attaining operators, numerical-radius-attaining operators, irreducible...

On some properties of the Picard operators

Lucyna Rempulska, Karolina Tomczak (2009)

Archivum Mathematicum

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We consider the Picard operators 𝒫 n and 𝒫 n ; r in exponential weighted spaces. We give some elementary and approximation properties of these operators.