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Research Article Open access CC BY 3.0

Schur Geometric Convexity for Ratio of Difference of Means

V. Lokesha, B. Naveen Kumar, K. M. Nagaraja, S. Padmanabhan

Journal of Scientific Research and Reports · pp. 1211–1219 · Published 28 Mar 2014

10.9734/JSRR/2014/7152

Abstract

In this paper, we study the Schur geometric convexity (concavity) of the ratio of difference of means. Also established some inter related mean inequalities related to the ratio of difference of means.

Schur convexity schur harmonic convexity ratio of difference of means inequality

References (12)

  1. 1 Handbook of Means and Their Inequalities [DOI]
  2. 2 A Note on Schur-Convex Functions [DOI]
  3. 3 An alternative note on the Schur-convexity of the extended mean values [DOI]
  4. 4 The Schur Geometrical Convexity of the Extended Mean Values [DOI]
  5. 5 Schur-Convex functions related to Hadamard-type inequalities [DOI]
  6. 6 Schur Convexity of Generalized Heronian Means Involving Two Parameters [DOI]
  7. 7 The Schur-convexity of Stolarsky and Gini means [DOI]
  8. 8 A SIMPLE PROOF ON STRENGTHENING AND EXTENSION OF INEQUALITIES
  9. 9 Some new inequalities between important means and applications to Ky Fan - type inequalities [DOI]
  10. 10 Schur convexity of Gnan mean for two variables
  11. 11 Refinement of Inequalities among Means [DOI]
  12. 12 On a Difference of Jensen Inequality and its Applications to Mean Divergence Measures [DOI]

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Schur-convexity for a mean of two variables with three parameters

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