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

How to Cite

chesneau, christophe. (2025). Some new integral formulas with applications. International Journal of Open Problems in Computer Science and Mathematics, 18(3), 1–21. Retrieved from https://ijopcm.icsrs.uk/index.php/journal/article/view/27

Issue

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

Section

Articles

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