Complete monotonicity results for some functions involving the gamma and polygamma functions

Sevli H., Batir N.

MATHEMATICAL AND COMPUTER MODELLING, cilt.53, ss.1771-1775, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 53
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1016/j.mcm.2010.12.055
  • Dergi Adı: MATHEMATICAL AND COMPUTER MODELLING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1771-1775
  • Van Yüzüncü Yıl Üniversitesi Adresli: Hayır

Özet

In this paper we prove new complete monotonicity properties of some functions involving the gamma function. As consequences of them we establish various new upper and lower bounds for the gamma function and the harmonic numbers. (C) 2011 Elsevier Ltd. All rights reserved.