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Integral Jensen–Mercer and Related Inequalities for Signed Measures with Refinements
MathematicsIn this paper, we give necessary and sufficient conditions for the integral Jensen–Mercer inequality and closely related inequalities to be satisfied for finite signed measures.
László Horváth
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On a Jensen-Mercer operator inequality [PDF]
Banach Journal of Mathematical Analysis, 2011 We give a general form of the Jensen-Mercer operator inequality for convex functions and its refinement for operator convex functions, continuous fields of operators and unital fields of positive linear mappings. As consequences, we obtain a global upper bound for the Jensen's operator functional, and some properties of the quasi-arithmetic operator ...
Ivelic, A., Matkovic, A., Pecaric, J. E.
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Comments on Jensen’s Inequalities
Malaya Journal of Matematik, 2014 The paper gives generalizations of some Jensen type inequalities for convex functions of one variable. The work is based on the methods which use convex combinations in deriving inequalities. The main inequality is applied to the quasi-arithmetic means.
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American Journal of Agricultural Economics, EarlyView.Abstract Crop insurance is undoubtedly an extremely valuable element in protecting agricultural businesses, but in many cases standard indemnity‐based products have had very low uptake due to high transaction costs elevating premiums to unaffordable levels.
Amogh Prakasha Kumar +2 more
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On inequalities of Jensen-Ostrowski type [PDF]
, 2015 We provide new inequalities of Jensen-Ostrowski type, by considering bounds for the magnitude of (Formula Presented), with various assumptions on the absolutely continuous function f:[a,b]→C and a μ-measurable function g, and a complex number λ ...
Cerone, P +2 more
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British Educational Research Journal, EarlyView.Abstract Recruiting and retaining school leaders is a challenge in many systems worldwide. Previous research has identified three distinct ways in which succession planning can be conceptualised and approached: a ‘pipeline’ approach seeks to match supply and demand for the posts that need filling; a ‘pool’ strategy involves proactively identifying and ...
Toby Greany +3 more
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New Estimations for Shannon and Zipf–Mandelbrot Entropies
Entropy, 2018 The main purpose of this paper is to find new estimations for the Shannon and Zipf–Mandelbrot entropies. We apply some refinements of the Jensen inequality to obtain different bounds for these entropies.
Muhammad Adil Khan +2 more
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Some Reverses of the Jensen Inequality for Functions of Selfadjoint Operators in Hilbert Spaces [PDF]
, 2008 Some reverses of the Jensen inequality for functions of selfadjoint operators in Hilbert spaces under suitable assumptions for the involved operators are given.
Dragomir, Sever S
core
How sharp is the Jensen inequality?
, 2015 We study how good the Jensen inequality is, that is, the discrepancy between ∫01φ(f(x))dx$\int_{0}^{1} \varphi(f(x)) \,dx$, and φ(∫01f(x)dx)$\varphi ( \int_{0}^{1} f(x) \,dx )$, φ being convex and f(x)$f(x)$ a nonnegative L1$L^{1}$ function.
D. Costarelli, R. Spigler
semanticscholar +1 more source
What works in internal alternative provision? A salutogenic analysis
British Educational Research Journal, EarlyView.Abstract Schools across England are setting up ‘internal alternative provision’ to meet the social, emotional and mental health needs of increasing numbers of pupils at risk of suspension, exclusion and absence. However, there is little guidance about what good practice looks like.
Emma Simpson
wiley +1 more source