Monotonicity, convexity, and inequalities for functions involving gamma function

2022/05/25 by Peipei Du, Du, Peipei, Gendi Wang +1
Mathematics · #33E50 (33E20) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Inequalities and Applications

paper · pdf · doi:10.48550/arxiv.2205.12530

openalex publication_date 2022/05/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we study some properties such as the monotonicity, logarithmically complete monotonicity, logarithmic convexity, and geometric convexity, of the combinations of gamma function and power function. The results we obtain generalize some related known results for parameters with specific values.

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