Results 91 to 100 of about 5,472,506 (230)
Journal of Inequalities and Applications, 2020 In this paper, first we present some interesting identities associated with Green’s functions and Fink’s identity, and further we present some interesting inequalities for r-convex functions.
Sadia Khalid, Josip Pečarić
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Transport inequalities and Concentration of measure*
ESAIM: Proceedings and Surveys, 2015 We give a short introduction to the concentration of measure phenomenon and connect it with different functional inequalities (Poincaré, Talagrand and Log-Sobolev inequalities).
Gozlan Nathael
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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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Merging for inhomogeneous finite Markov chains, part II: Nash and log-Sobolev inequalities
, 2011 We study time-inhomogeneous Markov chains with finite state spaces using Nash and logarithmic-Sobolev inequalities, and the notion of $c$-stability. We develop the basic theory of such functional inequalities in the time-inhomogeneous context and provide
Saloff-Coste, L., Zúñiga, J.
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Weak solutions of functional differential inequalities with first-order partial derivatives
Journal of Inequalities and Applications, 2011 The article deals with functional differential inequalities generated by the Cauchy problem for nonlinear first-order partial functional differential equations. The unknown function is the functional variable in equation and inequalities, and the partial
Kamont Zdzisław
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Cadernos de Saúde Pública, 2018 The objective of this research was to evaluate trends in socioeconomic inequalities in the prevalence of functional dentition among community-dwelling older adults in Brazil.
Fabiola Bof de Andrade +1 more
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Journal of Inequalities and Applications, 2020 Levinson type inequalities are generalized by using Hermite interpolating polynomial for the class of n $\mathfrak{n}$ -convex functions. In seek of application to information theory, some estimates for new functional are obtained based on f divergence ...
Muhammad Adeel +3 more
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Entropies, convexity, and functional inequalities
, 2004 Our aim is to provide a short and self contained synthesis which generalise and unify various related and unrelated works involving what we call Phi-Sobolev functional inequalities.
Chafai, Djalil
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Levinson-type inequalities via new Green functions and Montgomery identity
Open Mathematics, 2020 In this study, Levinson-type inequalities are generalized by using new Green functions and Montgomery identity for the class of k-convex functions (k ≥ 3). Čebyšev-, Grüss- and Ostrowski-type new bounds are found for the functionals involving data points
Adeel Muhammad +3 more
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The Annals of Probability, 1977 For martingales $f \in L_p (2 \leqq p < \infty)$ the inequality $\|Mf\|_p \leqq (p + 1)\|Sf\|_p$ is proved, where $Mf = \sup_n |f_n|$ is the maximal function and $S^2 = \sum_n |f_n - f_{n-1}|^2$ the martingale square function. For integer $p$ the estimate becomes $\|Mf\|_p \leqq p\|Sf\|_p$.
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