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. doi: 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
S. M. S. Nabavi Sales, "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
