Results 11 to 20 of about 49,660 (224)
Exponential convexity for majorization [PDF]
Journal of Inequalities and Applications, 2012 In this article, we give more generalized results than in Anwar et al. (2010) and Latif and Pečarić (2010) in new direction by using second-order divided difference. We investigate the exponential convexity and logarithmic convexity for majorization type results by using class of continuous functions in linear functionals.
Asif R. Khan +2 more
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Exponential convexity and total positivity
Sibirskie Elektronnye Matematicheskie Izvestiya, 2020 Let \(I\) be one of the intervals \((0,\infty)\) and \((-\infty,\infty)\) and let \(f:I\rightarrow\mathbb{R}\) be a function associated to a continuous weight \(p:(a,b)\rightarrow\mathbb{R}_{+}\) via the formula \(f(x)=\int_{a}^{b}e^{xt}p(t)\mathrm{d}t.\) The main result of the paper under review is Theorem 2, that asserts that the kernel \(K(x,y)=f(x ...
Kotelina, Nadezhda Olegovna +1 more
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Risks, 2023 Log-concavity and log-convexity play a key role in various scientific fields, especially in those where the distinction between exponential and non-exponential distributions is necessary for inferential purposes.
Alex Karagrigoriou +3 more
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Positivity of Integrals for Higher Order $\nabla-$Convex and Completely Monotonic Functions [PDF]
Sahand Communications in Mathematical Analysis, 2022 We extend the definitions of $\nabla-$convex and completely monotonic functions for two variables. Some general identities of Popoviciu type integrals $\int P(y)f(y) dy$ and $\int \int P(y,z) f(y,z) dy dz$ are deduced.
Faraz Mehmood, Asif Khan, Muhammad Adnan
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Some Hadamard-Type Integral Inequalities Involving Modified Harmonic Exponential Type Convexity
Axioms, 2023 The term convexity and theory of inequalities is an enormous and intriguing domain of research in the realm of mathematical comprehension. Due to its applications in multiple areas of science, the theory of convexity and inequalities have recently ...
Asif Ali Shaikh +4 more
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Punjab University Journal of Mathematics, 2021 : In this paper, we produce a novel framework of a subclass of convex functions that is exponentially convex functions. Moreover, it is observed that the new concept helps to build new inequalities of Petrovic’s ´ type by employing exponentially convex functions.
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Exponentially Convex Functions on Hypercomplex Systems [PDF]
International Journal of Mathematics and Mathematical Sciences, 2011 A hypercomplex system (h.c.s.) L1(Q, m) is, roughly speaking, a space which is defined by a structure measure (c(A, B, r), (A, B ∈ ℬ(Q))), such space has been studied by Berezanskii and Krein. Our main result is to define the exponentially convex functions (e.c.f.) on (h.c.s.), and we will study their properties.
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GENERALIZED POTENTIAL INEQUALITY AND EXPONENTIAL CONVEXITY
Математички билтен/BULLETIN MATHÉMATIQUE DE LA SOCIÉTÉ DES MATHÉMATICIENS DE LA RÉPUBLIQUE MACÉDOINE, 2013 In this paper we generalize the potential inequality which was introduced in [6] and extended to the class of naturally defined convex functions in [1]. The generalization is achieved by replacing the 1st order Taylor expansion of a convex function in the proof of the potential inequality with the n-th order Taylor expansion of an (n + 1)-convex ...
Elezović, Neven +2 more
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Uniform convergence to equilibrium for granular media [PDF]
, 2012 We study the long time asymptotics of a nonlinear, nonlocal equation used in the modelling of granular media. We prove a uniform exponential convergence to equilibrium for degenerately convex and non convex interaction or confinement potentials ...
Arnaud Guillin +14 more
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Some Generalizations of the Jensen-Type Inequalities with Applications
Axioms, 2022 Motivated by some results about reverses of the Jensen inequality for positive measure, in this paper we give generalizations of those results for real Stieltjes measure dλ which is not necessarily positive using several Green functions.
Mirna Rodić
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