Abstract

The authors retrospect Young's integral inequality and its geometric interpretation, recall a reversed version of Young's integral inequality, present a geometric interpretation of the reversed version of Young's integral inequality, and conclude a new reversed version of Young's integral inequality. The authors retrospect Young's integral inequality and its geometric interpretation, recall a reversed version of Young's integral inequality, present a geometric interpretation of the reversed version of Young's integral inequality, and conclude a new reversed version of Young's integral inequality. .

Highlights

  • The authors retrospect Young's integral inequality and its geometric interpretation, recall a reversed version of Young's integral inequality, present a geometric interpretation of the reversed version of Young's integral inequality, and conclude a new reversed version of Young's integral inequality

  • We discuss the geometric interpretation of the inequality 2.1

  • We provide a geometric proof of the inequality 2.1

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Summary

Introduction

The authors retrospect Young's integral inequality and its geometric interpretation, recall a reversed version of Young's integral inequality, present a geometric interpretation of the reversed version of Young's integral inequality, and conclude a new reversed version of Young's integral inequality. We retrospect Young's integral inequality and its geometric interpretation. Let h(x) be a real-valued, continuous, and strictly increasing function on [0, c] with c > 0. Email addresses: qifeng618@gmail.com, qifeng618@hotmail.com, qifeng618@qq.com (Feng Qi), wanaying1@aliyun.com (Aying Wan)

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