Some Bilinear Hardy–Steklov Type Integral Inequalities

Abstract

The aim of this study is to give some new bilinear Hardy–Steklov type integral inequalities with functions of two variables by using the operator $\mathcal{S}\mathcal{T}$defined by (1.4).

Keywords:

• Fubini theorem
• Hardy-type inequality
• Hölder’s inequality
• Steklov operator

2010 Mathematics Subject Classification:

• 26D10
• 26D15

Acknowledgment

We acknowledge with thanks the referees for their important remarks and comments which allow us to correct and improve this paper. The author would like to thank DG-RSDT of Algeria for the support of this research.