On the Durrmeyer-type modification of some discrete approximation operators.
Pych-Taberska, Paulina (1994)
Georgian Mathematical Journal
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Pych-Taberska, Paulina (1994)
Georgian Mathematical Journal
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George A. Anastassiou, Heinz H. Gonska (1995)
Annales Polonici Mathematici
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In recent papers the authors studied global smoothness preservation by certain univariate and multivariate linear operators over compact domains. Here the domain is ℝ. A very general positive linear integral type operator is introduced through a convolution-like iteration of another general positive linear operator with a scaling type function. For it sufficient conditions are given for shift invariance, preservation of global smoothness, convergence to the unit with rates, shape preserving...
Matthev O. Ojo (2002)
Kragujevac Journal of Mathematics
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Babenko, Vladislav F., Churilova, Mariya S. (2007)
Banach Journal of Mathematical Analysis [electronic only]
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S. Zhou (1993)
Colloquium Mathematicae
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Boncuţ, Mioara (2004)
General Mathematics
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Alsulami, Sadu M., Alsulami, Hamed M., Khan, Liaqat Ali (2009)
Acta Universitatis Apulensis. Mathematics - Informatics
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Takao Inoué, Adam Naumowicz, Noboru Endou, Yasunari Shidama (2011)
Formalized Mathematics
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In this article, we aim to prove the characterization of differentiation by means of partial differentiation for vector-valued functions on n-dimensional real normed linear spaces (refer to [15] and [16]).
Konyagin, Sergei V. (2007)
Banach Journal of Mathematical Analysis [electronic only]
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Platonov, S.S. (2001)
Sibirskij Matematicheskij Zhurnal
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Jan Kowalski (1994)
Banach Center Publications
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Nils Dencker (2003)
Journées équations aux dérivées partielles
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We prove the Nirenberg-Treves conjecture : that for principal type pseudo-differential operators local solvability is equivalent to condition (). This condition rules out certain sign changes of the imaginary part of the principal symbol along the bicharacteristics of the real part. We obtain local solvability by proving a localizable estimate for the adjoint operator with a loss of two derivatives (compared with the elliptic case). The proof involves a new metric in the Weyl (or Beals-Fefferman)...