Convex function - Wikipedia
In mathematics, a real-valued function is called convex if the line segment between any two distinct points on the graph of the function lies above or on the graph between the two points.
Convex and Concave Functions - GeeksforGeeks
2024年9月22日 · In mathematics, convex and concave functions are functions with different curvature of graphs. A convex function curves upwards, meaning that any line segment …
Convex curve - Wikipedia
In geometry, a convex curve is a plane curve that has a supporting line through each of its points. There are many other equivalent definitions of these curves, going back to Archimedes. …
Convex Functions: Definition, Properties with Solved Examples
2023年4月18日 · A convex function is a mathematical function that satisfies a particular property known as convexity. A function is convex if for any two points on its graph, the line segment …
Concave Upward and Downward - Math is Fun
Concave upward is when the slope increases: Concave downward is when the slope decreases: What about when the slope stays the same (straight line)? It could be both! See footnote. Here …
4.6: CONVEX FUNCTIONS AND DERIVATIVES - Mathematics …
Let \(I\) be an interval and let \(f, g: I \rightarrow \mathbb{R}\) be convex functions. Prove that \(cf\), \(f + g\), and \(\max \{f, g\}\) are convex functions on \(I\), where \(c \geq 0\) is a constant. …
Convex Functions | Brilliant Math & Science Wiki
Convex functions are real valued functions which visually can be understood as functions which satisfy the fact that the line segment joining any two points on the graph of the function lie …
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