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Note on special arithmetic and geometric means

Horst Alzer (1994)

Commentationes Mathematicae Universitatis Carolinae

We prove: If A ( n ) and G ( n ) denote the arithmetic and geometric means of the first n positive integers, then the sequence n n A ( n ) / G ( n ) - ( n - 1 ) A ( n - 1 ) / G ( n - 1 ) ( n 2 ) is strictly increasing and converges...

Note on the concentration-compactness principle for generalized Moser-Trudinger inequalities

Robert Černý (2012)

Open Mathematics

Let Ω ⊂ ℝn, n ≥ 2, be a bounded domain and let α < n − 1. Motivated by Theorem I.6 and Remark I.18 of [Lions P.-L., The concentration-compactness principle in the calculus of variations. The limit case. I, Rev. Mat. Iberoamericana, 1985, 1(1), 145–201] and by the results of [Černý R., Cianchi A., Hencl S., Concentration-Compactness Principle for Moser-Trudinger inequalities: new results and proofs, Ann. Mat. Pura Appl. (in press), DOI: 10.1007/s10231-011-0220-3], we give a sharp estimate of the...

Notes on an inequality.

Hoang, N.S. (2008)

JIPAM. Journal of Inequalities in Pure &amp; Applied Mathematics [electronic only]

Notes on an integral inequality.

Quoc Anh Ngo, Du Duc Thang, Tran Tat Dat, Dang Anh Tuan (2006)

JIPAM. Journal of Inequalities in Pure &amp; Applied Mathematics [electronic only]

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