Lupaş-Durrmeyer operators.
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Deo, Naokant (2004)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Karl Jacubek (1974)
Monatshefte für Mathematik
Jack Brown (1974)
Fundamenta Mathematicae
Olli Martio, Jan Maly (1995)
Journal für die reine und angewandte Mathematik
Guy C. David (2015)
Analysis and Geometry in Metric Spaces
A theorem of Lusin states that every Borel function onRis equal almost everywhere to the derivative of a continuous function. This result was later generalized to Rn in works of Alberti and Moonens-Pfeffer. In this note, we prove direct analogs of these results on a large class of metric measure spaces, those with doubling measures and Poincaré inequalities, which admit a form of differentiation by a famous theorem of Cheeger.
Bohner, Martin, Clark, Stephen, Ridenhour, Jerry (2002)
Journal of Inequalities and Applications [electronic only]
Momani, Shaher, Hadid, Samir (2004)
International Journal of Mathematics and Mathematical Sciences
Pachpatte, B.G. (1997)
Georgian Mathematical Journal
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