On functions and inverses, both positive, decreasing and convex: And Stieltjes functions

DOI10.1080/25742558.2018.1477543zbMath1438.26020OpenAlexW2805391822MaRDI QIDQ5193265

Nathnarong Khajohnsaksumeth, G. Keady, Benchawan Wiwatanapataphee

Publication date: 10 September 2019

Published in: Cogent Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/25742558.2018.1477543

zbMATH Keywords

convex functionscompletely monotoneStieltjes functiontranscendental equation

Mathematics Subject Classification ID

Convexity of real functions in one variable, generalizations (26A51) Convexity of real functions of several variables, generalizations (26B25) Other analytical inequalities (26D20) Inequalities involving other types of functions (26D07)

Related Items (2)

Rational Gauss quadrature rules for the approximation of matrix functionals involving Stieltjes functions ⋮ All the trinomial roots, their powers and logarithms from the Lambert series, Bell polynomials and Fox-Wright function: illustration for genome multiplicity in survival of irradiated cells

Cites Work

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• Generalized convexity and inequalities
• Stieltjes and other integral representations for functions of LambertW
• Combinatorics of Higher Derivatives of Inverses
• Convexity according to means
• Inequalities for the fundamental Robin eigenvalue for the Laplacian on N-dimensional rectangular parallelepipeds
• Some physical applications of generalized Lambert functions
• Bernstein functions. Theory and applications

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