Jensen’s inequality for operators without operator convexity

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Mićić, Jadranka, et al. “Jensen’s Inequality for Operators Without Operator Convexity”. Linear Algebra and Its Applications, vol. 434, no. 5, 2011, pp. 1228-37, https://doi.org/10.1016/j.laa.2010.11.004.
Mićić, J., Pavić, Z., & Pečarić, J. (2011). Jensen’s inequality for operators without operator convexity. Linear Algebra and Its Applications, 434(5), 1228-1237. https://doi.org/10.1016/j.laa.2010.11.004
Mićić, Jadranka, Zlatko Pavić, and Josip Pečarić. “Jensen’s Inequality for Operators Without Operator Convexity”. Linear Algebra and Its Applications 434, no. 5 (2011): 1228-37. https://doi.org/10.1016/j.laa.2010.11.004.
Mićić J, Pavić Z, Pečarić J. Jensen’s inequality for operators without operator convexity. Linear Algebra and its Applications. 2011;434(5):1228-37.
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A Schwarz inequality for convex operator functions Proceedings of the American Mathematical Society
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 1957
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Citations
Title Journal Journal Categories Citations Publication Date
On Subadditivity and Superadditivity of Functions on Positive Operators Mediterranean Journal of Mathematics
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2021
Separated spectra and operator inequalities

 Hacettepe Journal of Mathematics and Statistics 1 2021
A sufficient condition for that an operator map is of the form of functional calculus Positivity
  • Science: Mathematics
 2018
Some complementary inequalities to Jensen’s operator inequality Journal of Inequalities and Applications
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  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
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Citations Analysis
Category Category Repetition
Science: Mathematics9
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods5
Technology: Electrical engineering. Electronics. Nuclear engineering: Production of electric energy or power. Powerplants. Central stations1
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics1
Technology: Electrical engineering. Electronics. Nuclear engineering: Electric apparatus and materials. Electric circuits. Electric networks1
The category Science: Mathematics 9 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Extension of Jensen's Inequality for Operators without Operator Convexity and was published in 2011. The most recent citation comes from a 2021 study titled On Subadditivity and Superadditivity of Functions on Positive Operators. This article reached its peak citation in 2013, with 3 citations. It has been cited in 9 different journals, 33% of which are open access. Among related journals, the Journal of Inequalities and Applications cited this research the most, with 2 citations. The chart below illustrates the annual citation trends for this article.
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