Exponential convexity for Jensen’s inequality for norms [PDF]
Journal of Inequalities and Applications, 2016 In this paper, we investigate n-exponential convexity and log-convexity using the positive functional defined as the difference of the left-hand side and right-hand side of the inequality from (Pečarić and Janić in Facta Univ., Ser. Math. Inform. 3:39-42,
Julije Jakšetić +2 more
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Divergences Induced by the Cumulant and Partition Functions of Exponential Families and Their Deformations Induced by Comparative Convexity [PDF]
Entropy, 2023 Exponential families are statistical models which are the workhorses in statistics, information theory, and machine learning, among others. An exponential family can either be normalized subtractively by its cumulant or free energy function, or ...
Frank Nielsen
exaly +6 more sources
Generalized Levinson's inequality and exponential convexity [PDF]
Opuscula Mathematica, 2015 We give a probabilistic version of Levinson's inequality under Mercer's assumption of equal variances for the family of 3-convex functions at a point.
Josip Pečarić +2 more
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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 +2 more
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Jessen type functionals and exponential convexity
Journal of Mathematics and Computer Science, 2017 Summary: In this paper, we introduce the extension of Jessen functional and investigate logarithmic and exponential convexity. We also give mean value theorems of Cauchy and Lagrange type. Several families of functions are also presented related to our main results.
Naeem, Rishi, Anwar, Matloob
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Exponential Convexity Induced by Steffensen’s Inequality and Positive Measures
Results in Mathematics, 2018 Using measure theoretic generalization of Steffensen’s inequality we produce linear functionals and then, through their action on families of already known exponentially convex functions, we construct new examples of exponential convexity.
Julije Jakšetić +2 more
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Automatica, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shu Liang, Le Yi Wang, George Yin Yin
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Perbandingan Sensitivitas Harga Obligasi Berdasarkan Durasi Macaulay dan Durasi Eksponensial dengan Pengaruh Konveksitas (Studi Empiris pada Data Obligasi Korporasi Indonesia yang Terbit Tahun 2015) [PDF]
Media Statistika, 2017 Macaulay duration has often been used as a measure of the bond prices sensitivity to changes in interest rates. For a small change in interest rates, the duration provides a good approximation of the actual change in price.
Di Asih I Maruddani, Abdul Hoyyi
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Weighted Jessen's functionals and exponential convexity
Journal of Mathematics and Computer Science, 2019 In this paper, we give a refinement of the well known Jessen’s inequality via weight functions. We discuss m-exponential convexity of the functions associated with these weighted Jessen’s functionals.
Rishi Naeem, Matloob Anwar
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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
openaire +4 more sources