A Solution to Qi's Eighth Open Problem on Complete Monotonicity

DOI10.15393/J3.ART.2021.10570zbMath1502.26010OpenAlexW3212358277MaRDI QIDQ5086595

A. Venkata Lakshmi

Publication date: 6 July 2022

Published in: Issues of Analysis (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/pa334

zbMATH Keywords

inequalitiespolygamma functionStieltjes functionlogarithmically completely monotonic functions

Mathematics Subject Classification ID

Monotonic functions, generalizations (26A48) Trigonometric polynomials, inequalities, extremal problems (42A05) Exponential and trigonometric functions (33B10)

Cites Work

• On complete monotonicity for several classes of functions related to ratios of gamma functions
• Exponential, gamma and polygamma functions: simple proofs of classical and new inequalities
• A harmonic mean inequality for the digamma function and related results
• A short proof of the formula of Faà di Bruno
• The higher derivatives of the inverse tangent function and rapidly convergent BBP-type formulas
• The Curious History of Faa di Bruno's Formula
• INEQUALITIES INVOLVING GAMMA AND PSI FUNCTIONS
• Completely monotonicity of class functions involving the polygamma and related functions
• On some inequalities for the gamma and psi functions
• Bernstein functions. Theory and applications

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