SOME GEOMETRIC CURVES IN THE SENSE OF D-SEGMENT
Keywords:
d -segment, metric segment, d -convexity.Abstract
We have constructed some geometric curves in the sense of d -segment in metric spaces$(R^2,d_1)$ and $(R^2 , d_{\infty})$. The notion of d -convexity as well as
examples of d -convex and weakly convex sets are also considered.
References
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2. Menger K. Untersuchungen uber allgemeine Metric / K.Menger // Math. Ann. – 1928. – Р. 75-163.
3. Blumenthal L. Theory and applications of distance geometry, 2nd ed. / L.Blumenthal // Chelsea Publishing Company – 1970. – Р. 347.
4. Crippen G.M. Distance Geometry and Molecular Conformation / G.M.Crippen, T.F.Havel// John Wiley and Sons. – 1988.
5. Boltjanskij V. Excursion into combinatorial geometry/ V.Boltjanskij, H.Martini and P.Soltan // Springer-Verlag.– 1997.
6. Martini H. The Geometry of Minkowski Spaces – A Survey. Part II / H.Martini and K.J.Swanepoel // Expo. Math. – 2004. – V.22. – P. 93-144.
7. Petty C.M. On the geometry of the Minkowski plane / C.M.Petty // Riv. Math. Univ. Parma 6. – 1955. – Р. 269-292.
8. Groot De J. Some special metrics in general topology / J. De Groot // Colloq. Math. 6. – 1958. – Р. 283-286.
9. Maragos P. Mathematical Morphology and Its Application to Image and Signal Processing / P.Maragos, R.W.Schafer, M.A.Butt // Kluwer Academic Publishers. – 1996.
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Published
2019-02-23
How to Cite
Галущак, С. І. (2019). SOME GEOMETRIC CURVES IN THE SENSE OF D-SEGMENT. PRECARPATHIAN BULLETIN OF THE SHEVCHENKO SCIENTIFIC SOCIETY. Number, (1(33), 157–166. Retrieved from https://pvntsh.nung.edu.ua/index.php/number/article/view/113
Issue
Section
Mathematics and Mechanics
