When presented with an inequality graph and a set of possible inequalities, follow these steps to determine the correct match ...

Inequalities that use < or > symbols are plotted with a dashed line to show that the line is not included in the region. Inequalities that use ≤ or ≥ symbols are plotted with a solid line to show that ...

Hardy-type inequalities and the associated operators form a cornerstone of modern analysis, providing robust methods to estimate function norms through integral inequalities. These results are not ...

Abstract In this paper we present new versions of the classical Brunn-Minkowski inequality for different classes of measures and sets. We show that the inequality μ ...

Here's the story of income inequality in America over the past 40 years. Hover over each line to identify household income, and click through to see the percentage growth over the past 40 years. The ...

In this paper, we defined and studied the concept of exponential type multiplicatively convex functions and some of their algebraic properties. We derived Hermite-Hadamard inequalities for this class ...

This graph tells you that the richest 1 percent has captured more than half of income growth during periods of economic expansion in the 21st century. If more people knew that, would they support ...

Show values that satisfy an inequality on a set of axes by drawing the line of the corresponding equation and shading the area specified in a question. Include a dashed line for inequalities where the ...