On the characterization of Jensen m-convex polynomials
Moroccan Journal of Pure and Applied Analysis, 2017 The main objective of this research is to characterize all the real polynomial functions of degree less than the fourth which are Jensen m-convex on the set of non-negative real numbers. In the first section, it is established for that class of functions
Lara Teodoro +3 more
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Improved Poincar\'e inequalities [PDF]
, 2011 Although the Hardy inequality corresponding to one quadratic singularity, with optimal constant, does not admit any extremal function, it is well known that such a potential can be improved, in the sense that a positive term can be added to the quadratic
Dolbeault, Jean, Volzone, Bruno
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Conditionally approximately convex functions
Demonstratio Mathematica, 2016 Let X be a real normed space, V be a subset of X and α: [0, ∞) → [0, ∞] be a nondecreasing function. We say that a function f : V → [−∞, ∞] is conditionally α-convex if for each convex combination ∑i=0ntivi$\sum\nolimits_{i = 0}^n {t_i v_i }$ of ...
Najdecki Adam, Tabor Józef
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Hermite-Hadamard type inequalities for Wright-convex functions of several variables
, 2014 We present Hermite--Hadamard type inequalities for Wright-convex, strongly convex and strongly Wright-convex functions of several variables defined on ...
Wasowicz, Sz., Śliwińska, D.
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On an Open Problem by Feng Qi Regarding an Integral Inequality [PDF]
, 2002 In the article, a functional inequality in abstract spaces is established, which gives a new affirmative answer to an open problem posed by Feng Qi in Several integral inequalities which appeared in J. Inequal. Pure Appl. Math. 1 (2000), no. 2, Art. 19.
Mazouzi, S, Qi, Feng
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A martingale bound for the entropy associated with a trimmed filtration on $\mathbb {R}^d$
, 2015 Using martingale methods, we provide bounds for the entropy of a probability measure on $\mathbb {R}^d$ with the right-hand side given in a certain integral form.
Kulik, Alexei, Tymoshkevych, Taras
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Characterizations of higher-order convexity properties with respect to Chebyshev systems
, 2015 In this paper various notions of convexity of real functions with respect to Chebyshev systems defined over arbitrary subsets of the real line are introduced.
Páles, Zsolt +1 more
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An analysis of exponential kernel fractional difference operator for delta positivity
Nonlinear EngineeringPositivity analysis for a fractional difference operator including an exponential formula in its kernel has been examined. A composition of two fractional difference operators of order (ν,μ)\left(\nu ,\mu ) in the sense of Liouville–Caputo type operators
Mohammed Pshtiwan Othman
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Existence of maximizers for Hardy-Littlewood-Sobolev inequalities on the Heisenberg group [PDF]
, 2013 In this paper, we investigate the sharp Hardy-Littlewood-Sobolev inequalities on the Heisenberg group. On one hand, we apply the concentration compactness principle to prove the existence of the maximizers. While the approach here gives a different proof
Han, Xiaolong
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Nonlinear diffusions: extremal properties of Barenblatt profiles, best matching and delays
, 2015 In this paper, we consider functionals based on moments and non-linear entropies which have a linear growth in time in case of source-type so-lutions to the fast diffusion or porous medium equations, that are also known as Barenblatt solutions.
Dolbeault, Jean, Toscani, Giuseppe
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