Topics in Contemporary Mathematical Analysis and Applications

8 Refinements of Young’s Integral Inequality via Fundamental Inequalities and Mean Value Theorems for Derivatives¹

Feng Qi

Henan Polytechnic UniversityInner Mongolia University for NationalitiesTianjin Polytechnic University

Wen-Hui Li

Zhengzhou University of Science and Technology

Guo-Sheng Wu

Sichuan Technology and Business University

Bai-Ni Guo

Henan Polytechnic University

CONTENTS

8.1     Young’s Integral Inequality and Several Refinements

8.1.1     Young’s Integral Inequality

8.1.2     Refinements of Young’s Integral Inequality via Lagrange’s Mean Value Theorem

8.1.3     Refinements of Young’s Integral Inequality via Hermite-Hadamard’s and Čebyšev’s Integral Inequalities

8.1.4     Refinements of Young’s Integral Inequality via Jensen’s ...