Geometric interpretations and reversed versions of Young’s integral inequality – Advances in the theory of nonlinear analysis and its applications

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Original research article

Geometric interpretations and reversed versions of Young's integral inequality

Author(s):

Feng Qi^a,b,c, Aying Wan^d

^aCollege of Mathematics and Physics, Inner Mongolia University for Nationalities, Tongliao 028043, Inner Mongolia, China
^bSchool of Mathematical Sciences, Tianjin Polytechnic University, Tianjin 300387, China
^cInstitute of Mathematics, Henan Polytechnic University, Jiaozuo 454010, Henan, China
^dCollege of Mathematics and Statistics, Hulunbuir University, Hailaer 021008, Inner Mongolia, China

Advances in the Theory of Nonlinear Analysis and its Applications 5(1), 1-6.

Received: October 27, 2020

Accepted: December 25, 2020

Published: December 27, 2020

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.

Keywords: Young’s integral inequality; geometric proof; geometric interpretation; generalization; refinement; reversed version.

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APA Style

Qi, F., & Wan, A. (2021). Geometric interpretations and reversed versions of Young’s integral inequality. Advances in the Theory of Nonlinear Analysis and its Application, 5(1), 1-6.