Fang Niu-f
Abstract
In this paper, we investigate some special periodic functions and obtain an integral inequality for those periodic functions by Fourier series. The integral inequality obtained is equivalent to the well-known Minkowski inequality for mixed area of two planar convex sets.
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In this paper, we investigate some special periodic functions and obtain an integral inequality for those periodic functions by Fourier series. The integral inequality obtained is equivalent to the well-known Minkowski inequality for mixed area of two planar convex sets.
Key concepts: Mathematics, Minkowski inequality, Fourier series, Inequality, Hölder's inequality, Convex function, Mathematical analysis, Kantorovich inequality