Results 61 to 70 of about 177,016 (186)

New Refinements of the Erdös–Mordell Inequality and Barrow’s Inequality

Mathematics, 2019
In this paper, two new refinements of the Erdös−Mordell inequality and three new refinements of Barrow’s inequality are established. Some related interesting conjectures are put forward.
Jian Liu
doaj   +1 more source

The Metric Nearness Problem [PDF]

, 2008
Metric nearness refers to the problem of optimally restoring metric properties to distance measurements that happen to be nonmetric due to measurement errors or otherwise.
Brickell, Justin, Dhillon, Inderjit S., Sra, Suvrit, Tropp, Joel A.   +3 more
core  

Common Fixed Points for JH-Operators and Occasionally Weakly g-Biased Pairs under Relaxed Condition on Probabilistic Metric Space

Journal of Function Spaces and Applications, 2013
We obtain some fixed point theorems for JH-operators and occasionally weakly g-biased maps on a set X together with the function F:X×X→Δ without using the triangle inequality and without using the symmetric condition.
Arvind Bhatt, Harish Chandra
doaj   +1 more source

Some Bonnesen-Style Triangle Inequalities

Missouri Journal of Mathematical Sciences, 2002
Bonnesen-style inequalities are isoperimetric inequalities which provide a lower bound with some geometric meaning of the isoperimetric deficit \(L^2-4 \pi A \) of planar sets with rectifiable boundary. The first inequalities of this type were obtained by Bonnesen during the 1920's.
openaire   +3 more sources

Accelerating the k-Means++ Algorithm by Using Geometric Information

IEEE Access
Clustering is a fundamental task in data analysis with applications across a wide range of fields, such as computer vision, pattern recognition, and data mining.
Guillem Rodriguez Corominas, Maria J. Blesa, Christian Blum   +2 more
doaj   +1 more source

Refinements of the Erdös-Mordell inequality, Barrow’s inequality, and Oppenheim’s inequality

Journal of Inequalities and Applications, 2016
In this paper, we present some new refinements of the Erdös-Mordell inequality, Barrow’s inequality, and Oppenheim’s inequality. Based on verification by computer, several related interesting conjectures are put forward.
Jian Liu
doaj   +1 more source

A Stronger Triangle Inequality

The College Mathematics Journal, 1997
(1997). A Stronger Triangle Inequality. The College Mathematics Journal: Vol. 28, No. 3, pp. 182-186.
Herbert R. Bailey, Robert Bannister
openaire   +2 more sources

Convergence in Fuzzy Semi-Metric Spaces

Mathematics, 2018
The convergence using the fuzzy semi-metric and dual fuzzy semi-metric is studied in this paper. The infimum type of dual fuzzy semi-metric and the supremum type of dual fuzzy semi-metric are proposed in this paper. Based on these two types of dual fuzzy
Hsien-Chung Wu
doaj   +1 more source

Additive Reverses of the Generalised Triangle Inequality in Normed Spaces

, 2004
Some additive reverses of the generalised triangle inequality in normed linear spaces are given.
Dragomir, Sever Silvestru
core   +1 more source

Reverses of the Triangle Inequality in Inner Product Spaces

, 2004
Some new reverses for the generalised triangle inequality in inner product spaces and applications are given.
Dragomir, Sever Silvestru
core