Results 11 to 20 of about 4,644 (155)
On the symmetrized s-divergence
Open Mathematics, 2020 In this study, we work with the relative divergence of type s,s∈ℝs,s\in {\mathbb{R}}, which includes the Kullback-Leibler divergence and the Hellinger and χ 2 distances as particular cases.
Simić Slavko +2 more
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Some inequalities for cr-log-h-convex functions
Journal of Inequalities and Applications, 2022 The main purpose of this paper is to study certain inequalities for cr-log-h-convex functions with an interval value. To this end, we first give a definition of cr-log-h-convexity of interval-valued functions under the cr-order and study some properties ...
Wei Liu +3 more
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Mathematics, 2023 In this paper, with the use of newly defined class up and down log–convex fuzzy-number valued mappings, we offer a few new and original mappings defined by applying some mild restrictions over the definition of up and down log–convex fuzzy-number valued ...
Tareq Saeed +4 more
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On a ratio monotonicity conjecture of a new kind of numbers
Journal of Inequalities and Applications, 2018 It is known that the concept of ratio monotonicity is closely related to log-convexity and log-concavity. In this paper, by exploring the log-behavior properties of a new combinatorial sequence defined by Z.-W.
Brian Yi Sun
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Cauchy Means of the Popoviciu Type
Journal of Inequalities and Applications, 2009 We discuss log-convexity for the differences of the Popoviciu inequalities and introduce some mean value theorems and related results. Also we give the Cauchy means of the Popoviciu type and we show that these means are monotonic.
Matloob Anwar +2 more
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Exponential convexity for Jensen’s inequality for norms
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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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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Proof of a conjecture of Z-W Sun on ratio monotonicity
Journal of Inequalities and Applications, 2016 In this paper, we study the log-behavior of a new sequence { S n } n = 0 ∞ $\{S_{n}\} _{n=0}^{\infty}$ , which was defined by Z-W Sun. We find that the sequence is log-convex by using the interlacing method.
Brian Yi Sun +2 more
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The log-convexity of the poly-Cauchy numbers
, 2016 In 2013, Komatsu introduced the poly-Cauchy numbers, which generalize Cauchy numbers. Several generalizations of poly-Cauchy numbers have been considered since then. One particular type of generalizations is that of multiparameter-poly-Cauchy numbers. In
Komatsu, Takao, Zhao, Feng-Zhen
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The logarithmic concavity of modified Bessel functions of the first kind and its related functions
Advances in Difference Equations, 2019 This research demonstrates the log-convexity and log-concavity of the modified Bessel function of the first kind and the related functions. The method of coefficient is used to verify such properties.
Thanit Nanthanasub +2 more
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