Visualization of spheres in the generalized Hahn space

Author:

Velickovic Vesna1ORCID,Dolicanin Edin2

Affiliation:

1. Department of Computer Science, Faculty of Sciences and Mathematics, University of Niš, Niš, Serbia

2. Department of Technical Science, State University of Novi Pazar, Serbia

Abstract

We introduce the generalized Hahn space hd(p), which is not normable, and show that it is a totally paranormed space. We develop the parametric representation of parts of spheres in three?dimensional space endowed with the relative paranorm of hd(p) and solve the visibility and contour problems for these spheres. Also we apply our own software in line graphics to visualize the shapes of parts of these spheres. Finally we demonstrate the effects of the change of the parameters d and p on the shape of the spheres.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference18 articles.

1. R. Das. On the fine spectrum of the lower triangular matrix B(r; s) over the Hahn sequence space. Kyungpook Math. J., 57:441-455, 2017.

2. D. Dolićanin-Djekić and E. Gilić. Characterisations of bounded linear and compact operators on the generalised Hahn space. Filomat, 36(2), 2022.

3. M. Failing and E. Malkowsky. Ein effizientes Nullstellenverfahren zur computergraphischen Darstellung spezieller Kurven und Fla¨chen. Mitt. Math. Sem. Giessen, 229:11-28, 1996.

4. G. Goes. Sequences of bounded variation and sequences of Fourier coefficients II. J. Math. Anal. Appl., 39:477-494, 1972.

5. H. Hahn. ber Folgen linearer Operationen. Monatsh. Math. Phys., 32:3-88, 1922.

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