Write short notes on dirichlets conditions – InterviewSolution

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1.	Write short notes on dirichlets conditions
Answer» Dirichlet CONDITIONS are sufficient conditions for a real-valued, periodic function f to be equal to the sum of its Fourier series at each point where f is continuous. Moreover, the behavior of the Fourier series at points of discontinuity is determined as well (it is the midpoint of the values of the discontinuity). These conditions are named after PETER Gustav Lejeune Dirichlet. The conditions are[1]: f must be absolutely integrable over a period. f must be of bounded VARIATION in any given bounded INTERVAL. f must have a finite number of discontinuities in any given bounded interval

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