Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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CERTAIN FORM OF HILBERT-TYPE INEQUALITY USING NON-HOMOGENEOUS KERNEL OF HYPERBOLIC FUNCTIONS

  • Santosh Kaushik (Department of Mathematics, Bhagini Nivedita College, University of Delhi) ;
  • Satish Kumar (Department of Mathematics, University of Delhi)
  • Received : 2022.10.30
  • Accepted : 2023.03.29
  • Published : 2023.06.30
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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.

Keywords

Acknowledgement

This work was supported by Fellowship UGC-JRF With Student ID-417275.

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