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α-centroidal mean and its dual

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n this paper, the -centroidal mean and its dual form in 2 variables are defined. Also, we obtained some interesting results related to monotonicities.

Abstract

n this paper, the -centroidal mean and its dual form in 2 variables are defined. Also, we obtained some interesting results related to monotonicities.

참고문헌 (8)

  1. P. S. Bullen, "Handbook of means and their inequalities" (2003), Kluwer Acad. Publ
  2. G. H. Hardy, "Inequalities, 2nd edition" (1959), Cambridge University Press
  3. V. Lokesha, "Oscillatory type mean in Greek means", Int. e-Journal of Engg. Maths Theory and Applications, 9(3), pp.18~26 (2010)
  4. V. Lokesha, "rth Oscillatory mean for several positive arguments", Ultra Scientist, 18(3), pp.519~522 (2006)
  5. K. M. Nagaraja, "A simple proof strengthening and extension of inequalities", Advanced Studies in Contemporary Mathematics, 17(1), pp.97~103 (2008), 장전수학회
  6. B. Naveen Kumar, "A. Bayad And M. Saraj New means and its properties", Proc. of Jangjeon Mathematical Society, 14(3), pp.243~254 (2010)
  7. S. Padmanabhan, "Oscillatory mean for several positive arguments", Journal of intelligent system research, 2(2), pp.137~139 (2008)
  8. G. Toader, "Greek means and Arithmetic mean and Geometric mean" (2005), RGMIA Monograph

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