Sentence examples for inequalities regarding from inspiring English sources

Inequalities regarding health and its providers have been documented in the last few decades.

Recently, G.A. Anastassiou [12] established some Hölder's type inequalities regarding Csiszar's f-divergence of two probability measures as follows.

Furthermore, two inequalities regarding the rational upper bound of variance and standard deviation of the sum of two fuzzy variables and their individual variances and standard deviations are proved.

One of the well-known inequalities regarding volumes of convex bodies under (vector or) Minkowski addition, defined by for convex bodies in, is the Brunn-Minkowski inequality which states that, for, (2.1).

Consider the balls B ρ and B b ρ, where b is a fixed constant greater than 1, which are concentric with B ρ 0. Suppose that for arbitrary ρ ≤ b − 1 ρ 0, at least one of the following inequalities regarding u ( x ) is valid: osc Ω ρ u ≤ c 1 ρ ε, osc Ω ρ u ≤ ϑ osc Ω b ρ u. for certain positive constants c 1, ε ≤ 1 and ϑ < 1.

In some studies there were some uncertainties or inequalities regarding previous or concomitant anti-diabetic treatment.

Secondly, an inequality regarding the variance was proposed together with a calculation formula, which can greatly simplify the calculation process.

Using graph-theoretical techniques, we establish an inequality regarding the number of walks and closed walks in a graph.

In this paper, using graph-theoretical techniques, we establish an inequality regarding the number of walks and closed walks starting at a given vertex.

Related results for the original Jensen-Steffensen inequality regarding exponential convexity, which are a special case of Theorem 3.7, were given in[6].

There is an extensive literature devoted to Jensen's operator inequality regarding its variuous generalizations, refinements, and extensions; see, for example, [3 9].