Bessel's Inequality

Hiroshi Yamazaki

Shinshu University, Nagano

Yasunari Shidama

Shinshu University, Nagano

Yatsuka Nakamura

Shinshu University, Nagano

Summary.

In this article we defined the operation of a set and proved Bessel's inequality. In the first section, we defined the sum of all results of an operation, in which the results are given by taking each element of a set. In the second section, we defined Orthogonal Family and Orthonormal Family. In the last section, we proved some properties of operation of set and Bessel's inequality.

MML Identifier: BHSP_5

Contents (PDF format)

1. Sum of the Result of Operation with Each Element of a Set
2. Orthogonal Family and Orthonormal Family
3. Bessel's Inequality

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