We deal with three well-known inequalities in normed spaces concerning the triangle inequality. The first is about $(p,q)$-angular distance which is a generalization of the notion of angular distance and $p$-angular distance discussed in the literature. The second relates to the Cauchy-Schowarz inequality. Finally, we introduce a norm in an inner product space through a given linear operator $T$ and then we state a refinement of triangle inequality via the original norm of the space.
Nabavi Sales, S. M. S. (2025). Some inequalities related to triangle inequality. Journal of Frame and Matrix Theory, 2(1), 1–8. https://doi.org/10.22034/jfmt.2024.461135.1014
MLA
Nabavi Sales, S. M. S. "Some inequalities related to triangle inequality", Journal of Frame and Matrix Theory, 2, 1, 2025, 1–8. doi: 10.22034/jfmt.2024.461135.1014
HARVARD
Nabavi Sales, S. M. S. (2025). 'Some inequalities related to triangle inequality', Journal of Frame and Matrix Theory, 2(1), pp. 1–8. doi: 10.22034/jfmt.2024.461135.1014
CHICAGO
Nabavi Sales, S. M. S., "Some inequalities related to triangle inequality." Journal of Frame and Matrix Theory, 2 1 (2025): 1–8, doi: 10.22034/jfmt.2024.461135.1014
VANCOUVER
Nabavi Sales S. M. S. Some inequalities related to triangle inequality. JFMT. 2025;2(1):1–8. doi: 10.22034/jfmt.2024.461135.1014
