DYNAMIC GEOMETRY OF KASNER TRIANGLES WITH A FIXED WEIGHT

Journal article

Andrica, D., Bagdasar, O. and Marinescu, D.Ş. 2022. DYNAMIC GEOMETRY OF KASNER TRIANGLES WITH A FIXED WEIGHT. INTERNATIONAL JOURNAL OF GEOMETRY. Vol 11 (Issue 2), pp. 101 - 110.
AuthorsAndrica, D., Bagdasar, O. and Marinescu, D.Ş.
Abstract

In this article we consider the geometrical iterative process
defined by the Kasner triangles with a fixed real weight. The main results
about the convergence of this process are given in Section 2. The proofs are
elementary and use the general theory of the second order linear recurrences.
In the remark after the proof a higher level approach is presented.

Year2022
JournalINTERNATIONAL JOURNAL OF GEOMETRY
Journal citationVol 11 (Issue 2), pp. 101 - 110
PublisherVasile Alecsandri National College
ISSN2247-9880
Web address (URL)https://ijgeometry.com/wp-content/uploads/2022/03/10.-101-110.pdf
Output statusPublished
Publication datesApr 2022
Publication process dates
Accepted15 Dec 2021
Deposited25 May 2023
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On the characterization of periodic generalized Horadam sequences
Bagdasar, Ovidiu and Larcombe, Peter J. 2014. On the characterization of periodic generalized Horadam sequences. Journal of Difference Equations and Applications. https://doi.org/10.1080/10236198.2014.891022
Local maximum points of explicitly quasiconvex functions
Bagdasar, Ovidiu and Popovici, Nicolae 2014. Local maximum points of explicitly quasiconvex functions. Optimization Letters. https://doi.org/10.1007/s11590-014-0781-3
A horadam-based pseudo-random number generator
Bagdasar, O.D., Chen, M. and Bagdasar, O. 2014. A horadam-based pseudo-random number generator. IEEE. https://doi.org/10.1109/uksim.2014.55
On the structure of periodic complex Horadam orbits
Bagdasar, Ovidiu D., Larcombe, Peter J., Anjum, Ashiq and Bagdasar, O. 2016. On the structure of periodic complex Horadam orbits. Carpathian Journal of Mathematics.
Characterizations of Generalized Exponential Trichotomies for Linear Discrete-time Systems
Popa, I.-L., Ceauşu, T., Bagdasar, O. and Agarwal, R.P. 2016. Characterizations of Generalized Exponential Trichotomies for Linear Discrete-time Systems. Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica. 27 (2), pp. 153-166. https://doi.org/10.2478/auom-2019-0025
On some functions involving the lcm and gcd of integer tuples
Bagdasar, Ovidiu 2014. On some functions involving the lcm and gcd of integer tuples. Scientific Publications of the State University of Novi Pazar Series A: Applied Mathematics, Informatics and mechanics. https://doi.org/10.5937/SPSUNP1402091B
ON A RESULT OF BUNDER INVOLVING HORADAM SEQUENCES: A NEW PROOF
Larcombe, Peter J., Bagdasar, O. and Fennessey, Eric J. 2014. ON A RESULT OF BUNDER INVOLVING HORADAM SEQUENCES: A NEW PROOF. Fibonacci Quarterly. pp. 175-177.