Maximum Function

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Maximum Function

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For all real numbers x we say f has an absolute maximum over at x 0 The absolute maximum is f 0 1 It occurs at x 0 as shown in Figure 4 1 2 b A function may have both an absolute maximum and an absolute minimum just one extremum or neither What are Maxima and Minima of a Function? Maxima and minima are the peaks and valleys in the curve of a function. There can be any number of maxima and minima for a function. In calculus, we can find the maximum and minimum value of any function without even looking at the graph of the function.

Maximum FunctionMaximal functions appear in many forms in harmonic analysis (an area of mathematics). One of the most important of these is the Hardy–Littlewood maximal function . They play an important role in understanding, for example, the differentiability properties of functions, singular integrals and partial differential equations. The maximum or minimum over the entire function is called an Absolute or Global maximum or minimum Assuming this function continues downwards to left or right The Global Maximum is about 3 7 There is no Global Minimum as the function extends infinitely downwards Calculus

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