Application of Function Convexity in Proving Divergence of Series

LIANG Yikong

Volume 35 Issue 1

Mar. 2021

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LIANG Yikong. Application of Function Convexity in Proving Divergence of Series[J]. Journal of Shanghai University of Engineering Science, 2021, 35(1): 94-96.

Citation:

LIANG Yikong. Application of Function Convexity in Proving Divergence of Series[J]. Journal of Shanghai University of Engineering Science, 2021, 35(1): 94-96.

LIANG Yikong. Application of Function Convexity in Proving Divergence of Series[J]. Journal of Shanghai University of Engineering Science, 2021, 35(1): 94-96.

Citation:

LIANG Yikong. Application of Function Convexity in Proving Divergence of Series[J]. Journal of Shanghai University of Engineering Science, 2021, 35(1): 94-96.

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Application of Function Convexity in Proving Divergence of Series

LIANG Yikong

School of Physics, Mathematics and Statistics, Shanghai University of Engineering Science, Shanghai 201620, China

Received Date: 2020-06-17
Publish Date: 2021-03-30

Abstract

Abstract

For the convergence and divergence of series, based on the definition of convergence and divergence of series, combined with the convexity of general term functions, the sufficient conditions for the divergence of series were given when functions were upper convex or lower convex, and an example was given for application.
- series,
- convex function,
- divergence

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References(4)

References

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