Inequalities for hypergeometric functions [PDF]
Mathematics of Computation, 1976 The upper and lower bounds for the determinant of a dominant diagonal matrix have been used recently to obtain bounds on the classical orthogonal polynomials. Similar methods are used here on the hypergeometric functions of Gauss and of Kummer.
openaire +1 more source
Approximation of general Pexider functional inequalities in fuzzy Banach spaces
Journal of Nonlinear Science and its Applications, 2018 In this paper, we investigate a fuzzy version of a generalized Hyers-Ulam-Rassias type stability for the following Pexider functional inequalities f(x+ y) + f(x− y) + g(z) + h(l) 6 kp ( 2x+ z+ l k ) , f(x+ y) + f(x− y) + g(z) + kh(l) 6 kp ( x+ z k + l ) ,
Gang Lu +3 more
semanticscholar +1 more source
Bernstein type's concentration inequalities for symmetric Markov processes [PDF]
, 2010 Using the method of transportation-information inequality introduced in \cite{GLWY}, we establish Bernstein type's concentration inequalities for empirical means $\frac 1t \int_0^t g(X_s)ds$ where $g$ is a unbounded observable of the symmetric Markov ...
Gao, Fuqing, Guillin, Arnaud, Wu, Liming
core +5 more sources
Functional version for Furuta parametric relative operator entropy
Journal of Inequalities and Applications, 2018 Functional version for the so-called Furuta parametric relative operator entropy is here investigated. Some related functional inequalities are also discussed.
Mustapha Raïssouli, Shigeru Furuichi
doaj +1 more source
Diffusion semigroup on manifolds with time-dependent metrics
, 2016 Let $L_t:=\Delta_t +Z_t $, $t\in [0,T_c)$ on a differential manifold equipped with time-depending complete Riemannian metric $(g_t)_{t\in [0,T_c)}$, where $\Delta_t$ is the Laplacian induced by $g_t$ and $(Z_t)_{t\in [0,T_c)}$ is a family of $C^{1,1 ...
Cheng, Li-Juan
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, 2018 The aim of this paper is to establish Hermite-Hadamard, Hermite-Hadamard-Fej\'er, Dragomir-Agarwal and Pachpatte type inequalities for new fractional integral operators with exponential kernel.
Ahmad, Bashir +3 more
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New sharp Gagliardo-Nirenberg-Sobolev inequalities and an improved Borell-Brascamp-Lieb inequality [PDF]
, 2017 We propose a new Borell-Brascamp-Lieb inequality which leads to novel sharp Euclidean inequalities such as Gagliardo-Nirenberg-Sobolev inequalities in R^n and in the half-space R^n\_+.
Bolley, François +4 more
core +2 more sources
Sharp geometric and functional inequalities in metric measure spaces with lower Ricci curvature bounds [PDF]
, 2015 For metric measure spaces verifying the reduced curvature-dimension condition $CD^*(K,N)$ we prove a series of sharp functional inequalities under the additional assumption of essentially non-branching.
Fabio Cavalletti, Andrea Mondino
semanticscholar +1 more source
Transportation-information inequalities for Markov processes (II) : relations with other functional inequalities [PDF]
, 2009 We continue our investigation on the transportation-information inequalities $W_pI$ for a symmetric markov process, introduced and studied in \cite{GLWY}.
Guillin, Arnaud +3 more
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Functional inequalities for Gaussian convolutions of compactly supported measures: explicit bounds and dimension dependence [PDF]
, 2015 The aim of this paper is to establish various functional inequalities for the convolution of a compactly supported measure and a standard Gaussian distribution on Rd. We especially focus on getting good dependence of the constants on the dimension.
Jean-Baptiste Bardet +3 more
semanticscholar +1 more source