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

Rozarija Jakšić; Mario Krnić; Josip Pečarić

Research Article

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

Year 2015, Volume: 44 Issue: 5, 1045 - 1055, 01.10.2015

Rozarija Jakšić Mario Krnić Josip Pečarić

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

Jensen operator inequality, Lah-Ribarič operator inequality, con- vexity, operator convexity, converse

References

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Year 2015, Volume: 44 Issue: 5, 1045 - 1055, 01.10.2015

Rozarija Jakšić Mario Krnić Josip Pečarić

Abstract

References

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There are 1 citations in total.

Details

Primary Language	English
Subjects	Mathematical Sciences
Journal Section	Mathematics
Authors	Rozarija Jakšić This is me Mario Krnić This is me Josip Pečarić
Publication Date	October 1, 2015
Published in Issue	Year 2015 Volume: 44 Issue: 5

Cite

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.
AMA	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. October 2015;44(5):1045-1055.
Chicago	Jakšić, Rozarija, Mario Krnić, and Josip Pečarić. “On Some New Converses of the Jensen and the Lah-Ribarič Operator Inequality”. Hacettepe Journal of Mathematics and Statistics 44, no. 5 (October 2015): 1045-55.
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	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, 2015.
ISNAD	Jakšić, Rozarija et al. “On Some New Converses of the Jensen and the Lah-Ribarič Operator Inequality”. Hacettepe Journal of Mathematics and Statistics 44/5 (October 2015), 1045-1055.
JAMA	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, 2015, pp. 1045-5.
Vancouver	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):1045-5.