Hafidi, A. and Ammi, M.R.S. and Agarwal, P. (2018) A family of integral inequalities on the interval -1,1. Trends in Mathematics. pp. 323-331.

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We study the heat semigroup (Formula Presented) generated by the Gegenbauer operator(Formula Presented), on the interval (Formula Presented) the normalization constant and n is a strictly positive real number. By means of a simple method involving essentially a commutation property between the semigroup and derivation, we describe a large family of optimal integral inequalities with logarithmic Sobolev and Poincaré inequalities as particular cases. © 2018, Springer Nature Singapore Pte Ltd.

Item Type: Article
Subjects: Mathematics
Divisions: SCIENTIFIC PRODUCTION > Mathematics
Depositing User: Administrateur Eprints Administrateur Eprints
Last Modified: 31 Jan 2020 15:48
URI: http://eprints.umi.ac.ma/id/eprint/3927

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