Some inequalities involving the polygamma functions

DOI10.1186/s13660-019-1999-5zbMath1499.26143OpenAlexW2932532272WikidataQ128220270 ScholiaQ128220270MaRDI QIDQ2067770

Yanyan Li

Publication date: 19 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-019-1999-5

zbMATH Keywords

inequalitiespsi functionpolygamma functionssuperadditive functionsstar-shaped functions

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Inequalities for sums, series and integrals (26D15) Other analytical inequalities (26D20)

Related Items (1)

A class of completely monotonic functions involving the polygamma functions

Cites Work

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• Monotonicity of a mean related to polygamma functions with an application
• Complete monotonicity of some functions involving polygamma functions
• On some properties of digamma and polygamma functions
• Properties and applications of a function involving exponential functions
• Necessary and sufficient conditions for functions involving the tri- and tetra-gamma functions to be completely monotonic
• A power mean inequality for the gamma function
• Monotonicity rules for the ratio of two Laplace transforms with applications
• A comparison theorem for two divided differences and applications to special functions
• Some properties of the divided difference of psi and polygamma functions
• The special functions and their approximations. Vol. I, II
• Some function classes related to the class of convex functions
• Monotonicity of some functions involving the gamma and psi functions
• Some uniqueness results for the non-trivially complete monotonicity of a class of functions involving the polygamma and related functions
• Refinements, extensions and generalizations of the second Kershaw's double inequality
• Some completely monotonic functions of positive order
• Very accurate estimates of the polygamma functions
• Some properties of the psi and polygamma functions
• Superadditive Functions and a Statistical Application
• Inequalities for the Polygamma Functions
• Sharp inequalities for the digamma and polygamma functions
• Differential and integral f-means and applications to digamma function
• A class of completely mixed monotonic functions involving the gamma function with applications
• Inequalities for Zero-Balanced Hypergeometric Functions
• Refinements of lower bounds for polygamma functions
• Sharp Inequalities for Polygamma Functions
• SOME COMPLETELY MONOTONIC FUNCTIONS INVOLVING THE GAMMA AND POLYGAMMA FUNCTIONS
• On some inequalities for the gamma and psi functions
• Subadditive functions
• Mean-value inequalities for the polygamma functions

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