On Herglotz theorem in partially ordered vector spaces

Abstract

Herglotz theorem is generalized for a monotone σ-complete partially ordered vector space.

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Authors and Affiliations

1. Mathematical Institute, Slovak Academy of Sciences, Štefánikova 49, SK-814 73 Bratislava, Slovakia E-mail: duchon@savba.sk, , , , , , SK

   M. Duchoň

2. Department of Mathematics, Faculty of Natural Sciences, Matej Bel University, Tajovského 40, SK-974 01 Banská Bystrica, Slovakia E-mail: malicky@fpv.umb.sk, , , , , , SK

   P. Maličký

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1. M. Duchoň
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Duchoň, M., Maličký, P. On Herglotz theorem in partially ordered vector spaces. Soft Computing 4, 5–8 (2000). https://doi.org/10.1007/s005000050074

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• Issue Date: April 2000

• DOI: https://doi.org/10.1007/s005000050074

• Key words Partially ordered vector space, Fourier coefficients, positive defined sequence