Inequalities involving the gamma and digamma functions

2018/12/13 by Necdet Batır, Batir, Necdet
Mathematics · #26D07 #Analytic and geometric function theory #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Inequalities and Applications #Mathematical functions and polynomials #Primary: 33B05 #Secondary: 26A48

paper · pdf · doi:10.48550/arxiv.1812.05343

openalex publication_date 2018/12/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We improve the upper bounds of the following inequalities proved in [H. Alzer and N. Batir, Monotonicity properties of the gamma function, Appl. Math. Letters, 20(2007), 778-781]. \beginequation* exp(-(1)/(2)ψ(x+(1)/(3)))

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