Forward Curvatures on Time Scales
We also introduce forward curvature of a curve and give some formulas to calculate forward curvature of a curve on time scales which may be an arbitrary closed subsets of the set of all real numbers. We also introduce the length of a curve parametrized by a time scale parameter in ℝ3.
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/805948 |
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| _version_ | 1832546130145050624 |
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| author | M. S. Seyyidoglu Y. Tunçer D. Uçar M. K. Berktaş V. F. Hatipoğlu |
| author_facet | M. S. Seyyidoglu Y. Tunçer D. Uçar M. K. Berktaş V. F. Hatipoğlu |
| author_sort | M. S. Seyyidoglu |
| collection | DOAJ |
| description | We also introduce forward curvature of a curve and give some formulas to calculate forward curvature of a curve on time scales which may be an arbitrary closed subsets of the set of all real numbers. We also introduce the length of a curve parametrized by a time scale parameter in ℝ3. |
| format | Article |
| id | doaj-art-509fa8d23b004c4ba96497e6e8ac6032 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-509fa8d23b004c4ba96497e6e8ac60322025-02-03T07:23:51ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/805948805948Forward Curvatures on Time ScalesM. S. Seyyidoglu0Y. Tunçer1D. Uçar2M. K. Berktaş3V. F. Hatipoğlu4Department of Mathematics, Faculty of Arts and Sciences, Usak University, 1 Eylul Campus, 64200, Usak, TurkeyDepartment of Mathematics, Faculty of Arts and Sciences, Usak University, 1 Eylul Campus, 64200, Usak, TurkeyDepartment of Mathematics, Faculty of Arts and Sciences, Usak University, 1 Eylul Campus, 64200, Usak, TurkeyDepartment of Mathematics, Faculty of Arts and Sciences, Usak University, 1 Eylul Campus, 64200, Usak, TurkeyDepartment of Mathematics, Faculty of Arts and Sciences, Usak University, 1 Eylul Campus, 64200, Usak, TurkeyWe also introduce forward curvature of a curve and give some formulas to calculate forward curvature of a curve on time scales which may be an arbitrary closed subsets of the set of all real numbers. We also introduce the length of a curve parametrized by a time scale parameter in ℝ3.http://dx.doi.org/10.1155/2011/805948 |
| spellingShingle | M. S. Seyyidoglu Y. Tunçer D. Uçar M. K. Berktaş V. F. Hatipoğlu Forward Curvatures on Time Scales Abstract and Applied Analysis |
| title | Forward Curvatures on Time Scales |
| title_full | Forward Curvatures on Time Scales |
| title_fullStr | Forward Curvatures on Time Scales |
| title_full_unstemmed | Forward Curvatures on Time Scales |
| title_short | Forward Curvatures on Time Scales |
| title_sort | forward curvatures on time scales |
| url | http://dx.doi.org/10.1155/2011/805948 |
| work_keys_str_mv | AT msseyyidoglu forwardcurvaturesontimescales AT ytuncer forwardcurvaturesontimescales AT ducar forwardcurvaturesontimescales AT mkberktas forwardcurvaturesontimescales AT vfhatipoglu forwardcurvaturesontimescales |