# Certain form of Hilbert-type inequality using non-homogeneous kernel of hyperbolic functions

## Main Article Content

## Abstract

In this article, we establish Hilbert-type integral inequalities with the help of a non-homogeneous kernel of hyperbolic function with best constant factor. We also study the obtained inequalities's equivalent form. Additionaly, several specific Hilbert's type inequalities with constant factors in the term of the rational fraction expansion of higher order derivatives of cotangent and cosine functions are presented.

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This work is licensed under a Creative Commons Attribution-NonCommercial 3.0 Unported License.

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## References

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