Lebesgueintegrálhatóság
The Lebesgue integral is a generalization of the Riemann integral, developed by Henri Lebesgue. It is a more powerful and flexible concept in mathematical analysis, particularly useful for dealing with more complex functions and sets. The core idea behind the Lebesgue integral is to partition the range of the function rather than its domain, as is done in the Riemann integral. This approach allows for the integration of a wider class of functions, including those that are discontinuous everywhere.
The construction of the Lebesgue integral begins with defining simple functions, which take on a finite number
One of the key advantages of the Lebesgue integral is its superior convergence properties. Theorems like the