An integral representation, complete monotonicity, and inequalities of Cauchy numbers of the second kind

DOI10.1016/j.jnt.2014.05.009zbMath1300.05024arXiv1402.2358OpenAlexW2090553706WikidataQ114157528 ScholiaQ114157528MaRDI QIDQ404348

Feng Qi

Publication date: 4 September 2014

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.2358

zbMATH Keywords

integral representationinequalityminimalitymajorizationcompletely monotonic functionlogarithmic convexityCauchy number of the second kindcompletely monotonic sequence

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Special sequences and polynomials (11B83) Elementary classical functions (33B99) Convexity of real functions in one variable, generalizations (26A51) Monotonic functions, generalizations (26A48) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33) Inequalities in real analysis (26D99)

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Cites Work

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• An integral representation, complete monotonicity, and inequalities of Cauchy numbers of the second kind
• Remarks on some inequalities of A. M. Fink
• Kolmogorov-Landau inequalities for monotone functions
• Completely monotonic and related functions
• Inequalities for real powers of completely monotonic functions
• AN INTEGRAL REPRESENTATION, SOME INEQUALITIES, AND COMPLETE MONOTONICITY OF THE BERNOULLI NUMBERS OF THE SECOND KIND

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