Results 21 to 30 of about 5,993 (157)
Some New Generalized Fractional Newton’s Type Inequalities for Convex Functions
Journal of Function Spaces, 2022 In this paper, we establish some new Newton’s type inequalities for differentiable convex functions using the generalized Riemann-Liouville fractional integrals. The main edge of the newly established inequalities is that these can be turned into several
Jarunee Soontharanon +5 more
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Exponential inequalities for VLMC empirical trees [PDF]
ESAIM: Probability and Statistics, 2008 Summary: \textit{J. Rissanen} [IEEE Trans. Inf. Theory 29, 656--664 (1983; Zbl 0521.94010)] introduced the class of variable length Markov chains and the algorithm Context which estimates the probabilistic tree generating the chain. Even if the subject was recently considered in several papers, the central question of the rate of convergence of the ...
Galves, Antonio +2 more
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Bernstein-Jackson-type inequalities with exact constants in Orlicz spaces
Karpatsʹkì Matematičnì Publìkacìï, 2022 We establish the Bernstein and Jackson type inequalities with exact constants for estimations of best approximations by exponential type functions in Orlicz spaces $L_M(\mathbb{R}^n)$.
M.I. Dmytryshyn, L.I. Dmytryshyn
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ON THE EXPONENTIAL INEQUALITY FOR NEGATIVE DEPENDENT SEQUENCE [PDF]
Communications of the Korean Mathematical Society, 2007 Summary: We show an exponential inequality for negatively associated and strictly stationary random variables replacing an uniform boundedness assumption by the existence of Laplace transforms. To obtain this result we use a truncation technique together with a block decomposition of the sums.
Kim, Tae-Sung, Kim, Hyun-Chull
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Exponential type convexity and some related inequalities
Journal of Inequalities and Applications, 2020 In this manuscript, we give and study the concept of exponential type convex functions and some of their algebraic properties. We prove two Hermite–Hadamard (H-H) type integral inequalities for the newly introduced class of functions. We also obtain some
Mahir Kadakal, İmdat İşcan
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Some trace inequalities for exponential and logarithmic functions [PDF]
Bulletin of Mathematical Sciences, 2019 Consider a function F(X,Y ) of pairs of positive matrices with values in the positive matrices such that whenever X and Y commute F(X,Y ) = XpYq. Our first main result gives conditions on F such that Tr[X log(F(Z,Y ))] ≤Tr[X(p log X + q log Y )] for all ...
Eric A. Carlen, Elliott H. Lieb
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Conditional acceptability of random variables
Journal of Inequalities and Applications, 2016 Acceptable random variables introduced by Giuliano Antonini et al. (J. Math. Anal. Appl. 338:1188-1203, 2008) form a class of dependent random variables that contains negatively dependent random variables as a particular case.
Tasos C Christofides +2 more
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On large deviations for compound mixed Poisson process
Lietuvos Matematikos Rinkinys, 2013 This paper is designated for normal approximation to the distribution function of the compound mixed Poisson process taking into consideration large deviations both in the Cramér and power Linnik zones.
Aurelija Kasparavičiūtė +1 more
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Exponential inequalities for the supremum of some counting processes and their square martingales
Comptes Rendus. Mathématique, 2021 We establish exponential inequalities for the supremum of martingales and square martingales obtained from counting processes, as well as for the oscillation modulus of these processes. Our inequalities, that play a decisive role in the control of errors
Le Guével, Ronan
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Extremals for a Moser–Jodeit exponential inequality [PDF]
Pacific Journal of Mathematics, 2002 Let \(W^ n(D)\) be the Sobolev space of functions \(u\) supported in the closure of a bounded domain \(D\) in \(\mathbb R^ n\) whose gradient belongs to \(L^ n(D)\). The classical result of \textit{N. S. Trudinger} [J. Math. Mech. 17, 473--484 (1967; Zbl 0163.36402)] states that for \(u\) in the unit ball of \(W^ n(D)\), there are positive constants \(\
Hudson, Steve, Leckband, Mark
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