ACADSTAFF UGM
| Title | : | ON OPTIMALITY OF THE INDEX OF SUM, PRODUCT, MAXIMUM, AND MINIMUM OF FINITE BAIRE INDEX FUNCTIONS |
| Author | : |
Atok Zulijanto, S.Si.,M.Si.,Ph.D. (1) |
| Date | : | 0 2017 |
| Keyword | : | Baire index Baire index |
| Abstract | : | Chaatit, Mascioni, and Rosenthal dened nite Baire index for a bounded real-valued function f on a separable metric space, denoted by i(f), and proved that for any bounded functions f and g of nite Baire index, i(h) i(f) + i(g), where h is any of the functions f + g, fg, f _ g, f ^ g. In this paper, we prove that the result is optimal in the following sense : for each n; k < !, there exist functions f; g such that i(f) = n, i(g) = k, and i(h) = i(f) + i(g). |
| Group of Knowledge | : | Matematika |
| Original Language | : | English |
| Level | : | Internasional |
| Status | : |
Published
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