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On Alzer's inequality

2017/03/05 by Mohammad W. Alomari, Alomari, Mohammad W.
Mathematics · #26D15 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Equations Stability Results #Mathematical Inequalities and Applications #Point processes and geometric inequalities #math.CA #msc:26D15

paper · pdf · doi:10.48550/arxiv.1703.01538

8 pages

openalex publication_date 2017/03/05 · arxiv created 2017/04/08 · arxiv updated 2017/04/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Extensions and generalizations of Alzer's inequality; which is of Wirtinger type are proved. As applications, sharp trapezoid type inequality and sharp bound for the geometric mean are deduced.

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