Research Article

On some new converses of the Jensen and the Lah-Ribarič operator inequality

Volume: 44 Number: 5 October 1, 2015
EN

On some new converses of the Jensen and the Lah-Ribarič operator inequality

Abstract

In this paper we study some new converses of the Jensen and the LahRibarič operator inequality regarding convex functions. First we give two series of converses in a general setting. The general results are then applied to quasi-arithmetic operator means with a particular emphasis to power operator means. The obtained results are also compared with some related results, known from the literature.

Keywords

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Rozarija Jakšić This is me

Mario Krnić This is me

Publication Date

October 1, 2015

Submission Date

September 24, 2013

Acceptance Date

April 21, 2014

Published in Issue

Year 2015 Volume: 44 Number: 5

APA
Jakšić, R., Krnić, M., & Pečarić, J. (2015). On some new converses of the Jensen and the Lah-Ribarič operator inequality. Hacettepe Journal of Mathematics and Statistics, 44(5), 1045-1055. https://izlik.org/JA25AJ35KM
AMA
1.Jakšić R, Krnić M, Pečarić J. On some new converses of the Jensen and the Lah-Ribarič operator inequality. Hacettepe Journal of Mathematics and Statistics. 2015;44(5):1045-1055. https://izlik.org/JA25AJ35KM
Chicago
Jakšić, Rozarija, Mario Krnić, and Josip Pečarić. 2015. “On Some New Converses of the Jensen and the Lah-Ribarič Operator Inequality”. Hacettepe Journal of Mathematics and Statistics 44 (5): 1045-55. https://izlik.org/JA25AJ35KM.
EndNote
Jakšić R, Krnić M, Pečarić J (October 1, 2015) On some new converses of the Jensen and the Lah-Ribarič operator inequality. Hacettepe Journal of Mathematics and Statistics 44 5 1045–1055.
IEEE
[1]R. Jakšić, M. Krnić, and J. Pečarić, “On some new converses of the Jensen and the Lah-Ribarič operator inequality”, Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 5, pp. 1045–1055, Oct. 2015, [Online]. Available: https://izlik.org/JA25AJ35KM
ISNAD
Jakšić, Rozarija - Krnić, Mario - Pečarić, Josip. “On Some New Converses of the Jensen and the Lah-Ribarič Operator Inequality”. Hacettepe Journal of Mathematics and Statistics 44/5 (October 1, 2015): 1045-1055. https://izlik.org/JA25AJ35KM.
JAMA
1.Jakšić R, Krnić M, Pečarić J. On some new converses of the Jensen and the Lah-Ribarič operator inequality. Hacettepe Journal of Mathematics and Statistics. 2015;44:1045–1055.
MLA
Jakšić, Rozarija, et al. “On Some New Converses of the Jensen and the Lah-Ribarič Operator Inequality”. Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 5, Oct. 2015, pp. 1045-5, https://izlik.org/JA25AJ35KM.
Vancouver
1.Rozarija Jakšić, Mario Krnić, Josip Pečarić. On some new converses of the Jensen and the Lah-Ribarič operator inequality. Hacettepe Journal of Mathematics and Statistics [Internet]. 2015 Oct. 1;44(5):1045-5. Available from: https://izlik.org/JA25AJ35KM