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Approximation of Mappings with Values Which Are Upper Semicontinuous Functions |
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| Authors: | Pedro Tern Miguel Lpez-Díaz |
| Institution: | Departamento de Estadística e Investigación Operativa y Didáctica de la Matemática, Universidad de Oviedo, Spain |
| Abstract: | In this paper we study some aspects of the approximation of mappings taking values in a special class of upper semicontinuous functions. Some Korovkin type theorems for positive linear operators are obtained, and consequences of these theorems for a special class of operators defined through partial sum stochastic processes are analyzed. |
| Keywords: | function valued map fuzzy random variable linear operator partial sum stochastic process positive operator random set upper semicontinuous function |
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