Research Article

On the Norm in the Plane $\mathbb{R}_{\pi 3}^{2}$

Volume: 16 Number: 1 June 30, 2024
EN

On the Norm in the Plane $\mathbb{R}_{\pi 3}^{2}$

Abstract

In this study, norm in the Plane $\mathbb{R}_{\pi 3}^{2}$ is produced naturally from a different vector norm. Its triangle inequality, Schwarz inequality properties and geometrical interpretation in the Plane $\mathbb{R}_{\pi 3}^{2}$ are given.

Keywords

Thanks

Hakem Önerisi Prof. Dr. Mine Turan DPÜ Matematik Bölümü (mine.turan@dpu.edu.tr Prof. Dr. Atilla Akpınar Uludağ Üni. Matematik Bölümü (aakpinar@uludag.edu.tr) Prof. Dr. Nedim Değirmenci Eskişehir Teknik Ün. Matematik Bölümü (ndegirmenci@eskisehir.edu.tr)

References

  1. Akça, Z., Nazlı, S., On the trigonometric functions in R2π3, Konuralp Journal of Mathematics, 8(2020), 429–437.
  2. Akça, Z., Nazlı, S., On the versions in the plane R2π3 of some Euclidean theorems, New Trends in Mathematical Sciences, 10(2022), 20–27.
  3. Akça, Z., Bayar, A., Ekmekçi, S., The norm in CC plane geometry, The Pi Mu Epsilon Journal, 6(2007), 321–324.
  4. Akça, Z., Kaya, R., On the norm in higher dimensional taxicab spaces, Hadronic J. Suppl, 19(4)(2004), 491–501.
  5. Bayar, A., Ekmekçi, S., The Chinese Checker Sine and Cosine functions, International Journal of Mathematics and Analysis, 1(3)(2006), 249–259.
  6. Bayar, A., Kaya, R., On isometries of R2πn, Hacettepe Journal of Mathematics and Statistics, 40(5)(2011), 673–679.
  7. Ekmekçi, S., Akça, Z., Altıntas¸, A., On trigonometric functions and norm in the generalized taxicab metric, Mathematical Sciences And Applications E-Notes, 3(2)(2015), 27–33.
  8. Ekmekçi, S., Bayar, A., Akça, Z., On the plane geometry with generalized absolute value metric, Math. Probl. Eng., 1(0)(2008), 1–8.

Details

Primary Language

English

Subjects

Algebraic and Differential Geometry

Journal Section

Research Article

Publication Date

June 30, 2024

Submission Date

September 26, 2023

Acceptance Date

March 25, 2024

Published in Issue

Year 2024 Volume: 16 Number: 1

APA
Akça, Z. (2024). On the Norm in the Plane $\mathbb{R}_{\pi 3}^{2}$. Turkish Journal of Mathematics and Computer Science, 16(1), 137-142. https://doi.org/10.47000/tjmcs.1366843
AMA
1.Akça Z. On the Norm in the Plane $\mathbb{R}_{\pi 3}^{2}$. TJMCS. 2024;16(1):137-142. doi:10.47000/tjmcs.1366843
Chicago
Akça, Ziya. 2024. “On the Norm in the Plane $\mathbb{R}_{\pi 3}^{2}$”. Turkish Journal of Mathematics and Computer Science 16 (1): 137-42. https://doi.org/10.47000/tjmcs.1366843.
EndNote
Akça Z (June 1, 2024) On the Norm in the Plane $\mathbb{R}_{\pi 3}^{2}$. Turkish Journal of Mathematics and Computer Science 16 1 137–142.
IEEE
[1]Z. Akça, “On the Norm in the Plane $\mathbb{R}_{\pi 3}^{2}$”, TJMCS, vol. 16, no. 1, pp. 137–142, June 2024, doi: 10.47000/tjmcs.1366843.
ISNAD
Akça, Ziya. “On the Norm in the Plane $\mathbb{R}_{\pi 3}^{2}$”. Turkish Journal of Mathematics and Computer Science 16/1 (June 1, 2024): 137-142. https://doi.org/10.47000/tjmcs.1366843.
JAMA
1.Akça Z. On the Norm in the Plane $\mathbb{R}_{\pi 3}^{2}$. TJMCS. 2024;16:137–142.
MLA
Akça, Ziya. “On the Norm in the Plane $\mathbb{R}_{\pi 3}^{2}$”. Turkish Journal of Mathematics and Computer Science, vol. 16, no. 1, June 2024, pp. 137-42, doi:10.47000/tjmcs.1366843.
Vancouver
1.Ziya Akça. On the Norm in the Plane $\mathbb{R}_{\pi 3}^{2}$. TJMCS. 2024 Jun. 1;16(1):137-42. doi:10.47000/tjmcs.1366843