Some new integral formulas with applications

Authors

  • christophe chesneau Department of Mathematics, LMNO, University of Caen-Normandie, 14032, Caen, France

Keywords:

Integral, Pi, Fresnel Integral Formula, Arctangent Function, Logarithmic Function, Laplace Transform

Abstract

In this article, we present new explicit integral formulas derived by a combination of classical identities and advanced techniques. Applications to integral inequalities, including a logarithmic Hardy-Hilbert-type integral inequality, are also discussed. In addition, three open problems are proposed, suggesting new directions for future research.

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Published

2025-05-14

Issue

Vol. 18 No. 3 (2025): Int. J. Open Problems Compt. Math., Vol. 18, No. 3, September 2025

Section

Articles

How to Cite

Some new integral formulas with applications. (2025). International Journal of Open Problems in Computer Science and Mathematics, 18(3), 1-21. https://ijopcm.zuj.edu.jo/index.php/journal/article/view/27

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