In this paper, we establish an integral inequality of the form:

where  and  are two real parameters, and 

This inequality extends an integral inequality established in a book by Hardy et al. [3, Chapter VII, Theorem 254]. In the latter part of this paper, we extend these inequalities for functions of complex variables.

integral inequality, calculus of variations, Hilbert’s invariant integral.

Received: October 7, 2021; Accepted: December 9, 2021; Published: January 22, 2022

How to cite this article: Moumita Bhattacharyya and Shib Sankar Sana, An integral inequality with two parameters, Far East Journal of Applied Mathematics 111(2) (2021), 97-114. DOI: 10.17654/0972096021003

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License 

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