Research Article

THE STOLARSKY TYPE FUNCTIONS AND THEIR MONOTONICITIES

Volume: 38 Number: 2 February 1, 2009
  • V. Lokesha
  • Z.-g. Wang
  • Z.-h. Zhang
  • S. Padmanabhan
EN TR

THE STOLARSKY TYPE FUNCTIONS AND THEIR MONOTONICITIES

Abstract

In this paper, we give the definition of a Stolarsky type function, and obtain its monotonicity. By using these results, we establish a series of means and their monotonicities in n variables.

Keywords

References

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  2. Kuang, J. -C. Applied Inequalities (Hunan Education Press, 2nd. Ed., 1993), 39–49. (in Chinese).
  3. Leach, E. B. and Sholander, M. C. Extended mean values, Amer. Math. Monthly 85, 84–90, 1978.
  4. Leach, E. B. and Sholander, M. C. Extended mean values, J. Math. Anal. Appl. 92, 207–223, 1983.
  5. Lokesha, V. and Zhang, Z. -H. The weighted Heron dual mean in n variables, Adv. Stud. Contemp. Math. (Kyungshang) 13 (2), 165–170, 2006.
  6. Pe˘cari´c, J. and ˘Simi´c, V. Stolarsky-Tobey mean in n variables, Math. Inequal. Appl. 2 (3), 328–341, 1999. [7] Qi, F. Generalized weighted mean values with two parameters, Proc. Royal Soc. London, Series, Math. Physical Engineering Sci. 454, 2723–2732, 1998.
  7. Qi, F. On a two-parameter family of nonhomogeneous mean values, Tamkang J. Math. 29, 155–163, 1998. [9] Stolarsky, K. B. Generalizations of the logarithmic mean, Math. Mag. 48, 87–92, 1975.
  8. Xiao, Z. -G. and Zhang, Z. -H. The Henleman mean of n positive numbers, J. Yueyang Normal Univ. 14 (2), 1–5, 2001 (in Chinese).

Details

Primary Language

English

Subjects

Statistics

Journal Section

Research Article

Authors

V. Lokesha This is me

Z.-g. Wang This is me

Z.-h. Zhang This is me

S. Padmanabhan This is me

Publication Date

February 1, 2009

Submission Date

May 12, 2014

Acceptance Date

-

Published in Issue

Year 2009 Volume: 38 Number: 2

APA
Lokesha, V., Wang, Z.- g., Zhang, Z.- h., & Padmanabhan, S. (2009). THE STOLARSKY TYPE FUNCTIONS AND THEIR MONOTONICITIES. Hacettepe Journal of Mathematics and Statistics, 38(2), 119-128. https://izlik.org/JA22EK79TC
AMA
1.Lokesha V, Wang Z g., Zhang Z h., Padmanabhan S. THE STOLARSKY TYPE FUNCTIONS AND THEIR MONOTONICITIES. Hacettepe Journal of Mathematics and Statistics. 2009;38(2):119-128. https://izlik.org/JA22EK79TC
Chicago
Lokesha, V., Z.-g. Wang, Z.-h. Zhang, and S. Padmanabhan. 2009. “THE STOLARSKY TYPE FUNCTIONS AND THEIR MONOTONICITIES”. Hacettepe Journal of Mathematics and Statistics 38 (2): 119-28. https://izlik.org/JA22EK79TC.
EndNote
Lokesha V, Wang Z- g., Zhang Z- h., Padmanabhan S (February 1, 2009) THE STOLARSKY TYPE FUNCTIONS AND THEIR MONOTONICITIES. Hacettepe Journal of Mathematics and Statistics 38 2 119–128.
IEEE
[1]V. Lokesha, Z.- g. Wang, Z.- h. Zhang, and S. Padmanabhan, “THE STOLARSKY TYPE FUNCTIONS AND THEIR MONOTONICITIES”, Hacettepe Journal of Mathematics and Statistics, vol. 38, no. 2, pp. 119–128, Feb. 2009, [Online]. Available: https://izlik.org/JA22EK79TC
ISNAD
Lokesha, V. - Wang, Z.-g. - Zhang, Z.-h. - Padmanabhan, S. “THE STOLARSKY TYPE FUNCTIONS AND THEIR MONOTONICITIES”. Hacettepe Journal of Mathematics and Statistics 38/2 (February 1, 2009): 119-128. https://izlik.org/JA22EK79TC.
JAMA
1.Lokesha V, Wang Z- g., Zhang Z- h., Padmanabhan S. THE STOLARSKY TYPE FUNCTIONS AND THEIR MONOTONICITIES. Hacettepe Journal of Mathematics and Statistics. 2009;38:119–128.
MLA
Lokesha, V., et al. “THE STOLARSKY TYPE FUNCTIONS AND THEIR MONOTONICITIES”. Hacettepe Journal of Mathematics and Statistics, vol. 38, no. 2, Feb. 2009, pp. 119-28, https://izlik.org/JA22EK79TC.
Vancouver
1.V. Lokesha, Z.-g. Wang, Z.-h. Zhang, S. Padmanabhan. THE STOLARSKY TYPE FUNCTIONS AND THEIR MONOTONICITIES. Hacettepe Journal of Mathematics and Statistics [Internet]. 2009 Feb. 1;38(2):119-28. Available from: https://izlik.org/JA22EK79TC