Refinements of Jensen-Mercer's inequality for index set functions with applications

Authors

  • Anita Matković Mathematics and Education,University of Split, Teslina, Croatia
  • Josip Pečarić University of Zagreb, Croatia

Keywords:

Jensen-Mercer's inequality, index set function, means of Mercer's type

Abstract

Some refinements of Jensen-Mercer's inequality are presented. They are used to refine few inequalities among various means of Mercer's type, and they are further generalized for linear functionals.

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References

Cheung, W. S., Matković, A. and Pečarić, J., A variant of Jessen's Inequality and generalized means, JIPAM, 7(1), Article 10, 2006.

Bullen, P. S., Mitrinović, D. S. and Vasić, P. M., Means and Their Inequalities, Reidel, Dordrecht, 1988, https://doi.org/10.1007/978-94-017-2226-1

Mercer, A. McD., A variant of Jensen's inequality, JIPAM, 4(4), Article 73, 2003.

Pečarić, J. E., Proschan, F. and Tong, Y. L., Convex Functions, Partial Orderings, and Statistical Applications, Academic Press, Inc., 1992, https://doi.org/10.1016/s0076-5392(08)x6162-4

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Published

2006-02-01

How to Cite

Matković, A., & Pečarić, J. (2006). Refinements of Jensen-Mercer’s inequality for index set functions with applications. Rev. Anal. Numér. Théor. Approx., 35(1), 71–82. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/2006-vol35-no1-art10

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