Bernstein-Durrmeyer type operators preserving linear functions
Vijay Gupta, Oktay Duman (2010)
Matematički Vesnik
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Vijay Gupta, Oktay Duman (2010)
Matematički Vesnik
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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...
Rajeev Kumar, Romesh Kumar (2005)
Matematički Vesnik
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Abakumov, Yu.G., Zabelina, N.A., Shestakova, O.N. (2000)
Siberian Mathematical Journal
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Vijay Gupta, Naokant Deo (2011)
Matematički Vesnik
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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.
Monika Herzog (2014)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
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In this paper we study approximation properties of partial modified Szasz-Mirakyan operators for functions from exponential weight spaces. We present some direct theorems giving the degree of approximation for these operators. The considered version of Szász-Mirakyan operators is more useful from the computational point of view.
Mecheri, Salah (2009)
International Journal of Open Problems in Computer Science and Mathematics. IJOPCM
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F. Bombal (2007)
Extracta Mathematicae
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Pop, Ovidiu T., Fărcaş, Mircea D., Bărbosu, Dan (2011)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Fernando Cobos, Luz M. Fernández-Cabrera, Antón Martínez (2005)
Studia Mathematica
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The paper establishes necessary and sufficient conditions for compactness of operators acting between general K-spaces, general J-spaces and operators acting from a J-space into a K-space. Applications to interpolation of compact operators are also given.
John B. Conway, Gabriel Prǎjiturǎ (2005)
Studia Mathematica
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For a scalar λ, two operators T and S are said to λ-commute if TS = λST. In this note we explore the pervasiveness of the operators that λ-commute with a compact operator by characterizing the closure and the interior of the set of operators with this property.