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Order Relations, Convexities, and Jensen's Integral Inequalities in Interval and Fuzzy Spaces
(Springer, 2018-01-01)
This study presents new interval and fuzzy versions of the Jensen's integral inequality, which extend the classical Jensen's integral inequality for real-valued functions, using Aumann and Kaleva integrals. The inequalities ...
Jensen-type inequalities for m-convex functions
(2022)
Inequalities play an important role in pure and applied mathematics. In particular, Jensen’s inequality, one of the most famous inequalities, plays the main role in the study of the existence and uniqueness of initial and ...
Jensen's inequality for spectral order and submajorization
(Academic Press Inc Elsevier Science, 2007-07)
Let A be a C*-algebra and φ{symbol} : A → L (H) be a positive unital map. Then, for a convex function f : I → R defined on some open interval and a self-adjoint element a ∈ A whose spectrum lies in I, we obtain a Jensen's-type ...
Higher order turán inequalities for the Riemann ξ-function
(Amer Mathematical Soc, 2011-03-01)
The simplest necessary conditions for an entire function ψ(x) =∞ ∑ k=0 γk xk/k! to be in the Laguerre-Pólya class are the Turán inequalities γ2 k- γk+1γk-1 ≥ 0. These are in fact necessary and sufficient conditions for the ...
Higher order turán inequalities for the Riemann ξ-function
(Amer Mathematical Soc, 2014)
Jensen inequalities for tunneling probabilities in complex systems
(AMER PHYSICAL SOC, 2009)
The Jensen theorem is used to derive inequalities for semiclassical tunneling probabilities for systems involving several degrees of freedom. These Jensen inequalities are used to discuss several aspects of sub-barrier ...
Order Relations, Convexities, and Jensen's Integral Inequalities in Interval and Fuzzy Spaces
(2018)
This study presents new interval and fuzzy versions of the Jensen's integral inequality, which extend the classical Jensen's integral inequality for real-valued functions, using Aumann and Kaleva integrals. The inequalities ...
A Refinement and a divided difference reverse of Jensen's inequality with applications
(Universidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Matemáticas - Sociedad Colombiana de Matemáticas, 2016-01-01)
A renement and a new sharp reverse of Jensen's inequality for convex functions in terms of divided diferences is obtained. Applications for means, the Hölder inequality and for f-divergence measures in information theory ...