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Multidimensional generalization of the Korous inequality |
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| Authors: | B. Ftorek P. Oršanský H. Šamajová |
| Affiliation: | 1. Department of Applied Mathematics, Faculty of Mechanical Engineering, University of ?ilina, ?ilina, Slovakiabranislav.ftorek@fstroj.uniza.sk;3. Department of Applied Mathematics, Faculty of Mechanical Engineering, University of ?ilina, ?ilina, Slovakia |
| Abstract: | This paper deals with some qualitative properties of orthogonal polynomials in several variables. The boundedness and relations between two sets of orthonormal polynomials associated with an arbitrary weight function and its extension are investigated. It presents an analogy to Korous' result for general orthogonal polynomials in one variable. |
| Keywords: | Korous theorem orthogonal polynomials in several variables weight function boundedness |