Some new inequalities for the gamma function
Xiaodong Cao
TL;DR
This paper introduces new inequalities for the gamma function using advanced correction methods and a generalized Mortici's lemma, expanding the mathematical understanding of gamma function bounds.
Contribution
It develops novel inequalities for the gamma function leveraging the multiple-correction method and a generalized Mortici's lemma, offering new theoretical insights.
Findings
New inequalities for the gamma function established
Enhanced bounds improve previous estimates
Methodology can be applied to related special functions
Abstract
In this paper, we present some new inequalities for the gamma function. The main tools are the multiple-correction method developed in our previous works, and a generalized Mortici's lemma.
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Taxonomy
TopicsMathematical Inequalities and Applications · Mathematical functions and polynomials · Functional Equations Stability Results