On Some Bounds for the Gamma Function

Both theoretical and applied mathematics depend heavily on inequalities, which are rich in symmetries. In numerous studies, estimations of various functions based on the characteristics of their symmetry have been provided through inequalities. In this paper, we study the monotonicity of certain fun...

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Bibliographic Details
Main Authors: Mansour Mahmoud, Saud M. Alsulami, Safiah Almarashi
Format: Article
Language:English
Published: MDPI AG 2023-04-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/15/4/937
Description
Summary:Both theoretical and applied mathematics depend heavily on inequalities, which are rich in symmetries. In numerous studies, estimations of various functions based on the characteristics of their symmetry have been provided through inequalities. In this paper, we study the monotonicity of certain functions that involve Gamma functions. We were able to obtain some of the bounds of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>Γ</mo><mo>(</mo><mi>v</mi><mo>)</mo></mrow></semantics></math></inline-formula> that are more accurate than some recently published inequalities.
ISSN:2073-8994