Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Sharp Smith's bounds for the gamma function.

Xi-Qiao Li1, Zhi-Ming Liu1, Zhen-Hang Yang2

  • 11School of Mechanical, Electronic and Control Engineering, Beijing Jiaotong University, Beijing, China.

Journal of Inequalities and Applications
|March 24, 2018
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Role of tumor momentum in neurocognitive deficits among pediatric brainstem glioma prior to treatment: a pilot study.

Journal of neuro-oncology·2026
Same author

Epidemiology of brain and central nervous system cancers in children and adolescents.

Child's nervous system : ChNS : official journal of the International Society for Pediatric Neurosurgery·2026
Same author

Publisher Correction: Immunohistochemical detection of 5-hydroxymethylcytosine as a prognostic biomarker in non-WNT/Non-SHH medulloblastomas.

Scientific reports·2025
Same author

Immunohistochemical detection of 5-hydroxymethylcytosine as a prognostic biomarker in non-WNT/Non-SHH medulloblastomas.

Scientific reports·2025
Same author

Eco-friendly and efficient flame retardant rigid polyurethane foam reinforced with lignin and silica aerogel.

International journal of biological macromolecules·2025
Same author

[Effect of gingival biotype on total crown repair and gingival crevicular fluid inflammatory factors].

Shanghai kou qiang yi xue = Shanghai journal of stomatology·2024
Same journal

The infimum values of two probability functions for the Gamma distribution.

Journal of inequalities and applications·2024
Same journal

The existence of nonnegative solutions for a nonlinear fractional <i>q</i>-differential problem via a different numerical approach.

Journal of inequalities and applications·2021
Same journal

Correction to: On the spectral norms of <i>r</i>-circulant matrices with the bi-periodic Fibonacci and Lucas numbers.

Journal of inequalities and applications·2019
Same journal

Erratum to: General Bahr-Esseen inequalities and their applications.

Journal of inequalities and applications·2019
Same journal

Hermite-Hadamard type inequalities for <i>F</i>-convex function involving fractional integrals.

Journal of inequalities and applications·2019
Same journal

Global maximal inequality to a class of oscillatory integrals.

Journal of inequalities and applications·2019
See all related articles

Smith

Area of Science:

  • Mathematics
  • Approximation Theory

Background:

  • The gamma function is a fundamental concept in mathematics.
  • Various approximation formulas exist for the gamma function.

Purpose of the Study:

  • To analyze the properties of a specific gamma function approximation formula proposed by Smith.
  • To mathematically prove the nature of Smith's approximation.

Main Methods:

  • The study involves mathematical analysis of a function related to the gamma function.
  • Proving the function is strictly increasing and concave over a specified domain.

Main Results:

  • The function [Formula: see text] is demonstrated to be strictly increasing on [Formula: see text].
  • The function [Formula: see text] is also proven to be concave on [Formula: see text].
Keywords:
Approximation formulaGamma functionInequality

Related Experiment Videos

Conclusions:

  • Smith's approximation formula for the gamma function is confirmed as an upper bound.
  • The mathematical properties of this specific approximation are now rigorously established.