A completely monotonic function involving the divided difference of the psi function and an equivalent inequality involving sums

• Autores: Feng Qi
• Localización: Anziam journal: The Australian & New Zealand industrial and applied mahtematics journal, ISSN 1446-1811, Vol. 48, Nº 4, 2007, págs. 523-532
• Idioma: inglés
• DOI: 10.1017/s1446181100003199
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• Resumen

  • In this paper, a function involving the divided difference of the psi function is proved to be completely monotonic, a class of inequalities involving sums is found, and an equivalent relation between complete monotonicity and one of the class of inequalities is established.