An optimal power mean inequality for the complete elliptic integrals
Applied Mathematics Letters, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Miao-Kun +3 more
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A new sharp double inequality for generalized Heronian, harmonic and power means
Computers & Mathematics with Applications, 2012 For a real number $p$, let $M_p(a, b)$ denote the usual power mean of order $p$ of positive real numbers $a$ and $b$. Further, let $H=M_{; ; ; -1}; ; ; $ and $He_{; ; ; \alpha}; ; ; = \alpha M_0 + (1 - \alpha) M_1$ for $\alpha \in [0, 1]$. We prove that the double mixed-means inequality \[ M_{; ; ; -\frac{; ; ; \alpha}; ; ; {; ; ; 2}; ; ; }; ; ; (a, b)
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On new general inequalities for s-convex functions and their applications
Journal of Inequalities and Applications, 2023 In this work, we established some new general integral inequalities of Hermite–Hadamard type for s-convex functions. To obtain these inequalities, we used the Hölder inequality, power-mean integral inequality, and some generalizations associated with ...
Çetin Yildiz +2 more
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Weak log-majorization and inequalities of power means
The Electronic Journal of Linear Algebra, 2023 As noncommutative versions of the quasi-arithmetic mean, we consider the Lim-Pálfia's power mean, Rényi right mean, and Rényi power means. We prove that the Lim-Pálfia's power mean of order $t \in [-1,0)$ is weakly log-majorized by the log-Euclidean mean and fulfills the Ando-Hiai inequality.
Miran Jeong, Sejong Kim
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Refinement of Discrete Lah–Ribarič Inequality and Applications on Csiszár Divergence
Mathematics, 2022 In this paper we give a new refinement of the Lah–Ribarič inequality and, using the same technique, we give a refinement of the Jensen inequality. Using these results, a refinement of the discrete Hölder inequality and a refinement of some inequalities ...
Đilda Pečarić +2 more
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Some new Ostrowski’s Inequalities for Functions whose nth Derivatives are Logarithmically Convex
Annales Mathematicae Silesianae, 2018 Some new Ostrowski’s inequalities for functions whose nthderivative are logarithmically convex are established.
Meftah Badreddine
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On a result of Cartwright and Field
Journal of Inequalities and Applications, 2018 Let Mn,r=(∑i=1nqixir)1r $M_{n,r}=(\sum_{i=1}^{n}q_{i}x_{i}^{r})^{\frac{1}{r}}$, r≠0 $r\neq 0$, and Mn,0=limr→0Mn,r $M_{n,0}= \lim_{r \rightarrow 0}M_{n,r}$ be the weighted power means of n non-negative numbers xi $x_{i}$, 1≤i≤n $1 \leq i \leq n$, with qi>
Peng Gao
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Testing convex hypotheses on the mean of a Gaussian vector. Application to testing qualitative hypotheses on a regression function [PDF]
, 2005 In this paper we propose a general methodology, based on multiple testing, for testing that the mean of a Gaussian vector in R^n belongs to a convex set. We show that the test achieves its nominal level, and characterize a class of vectors over which the
Baraud, Yannick +2 more
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FORMATION OF VERSIONS OF SOME DYNAMIC INEQUALITIES UNIFIED ON TIME SCALE CALCULUS
Ural Mathematical Journal, 2018 The aim of this paper is to present some comprehensive and extended versions of classical inequalities such as Radon's Inequality, Bergström's Inequality, the weighted power mean inequality, Schlömilch's Inequality and Nesbitt's Inequality on time scale ...
Muhammad Jibril Shahab Sahir
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SEVERAL NEW INTEGRAL INEQUALITIES VIA K-RIEMANN–LIOUVILLE FRACTIONAL INTEGRALS OPERATORS
Проблемы анализа, 2021 The main objective of this paper is to establish several new integral inequalities including k-Riemann – Liouville fractional integrals for convex, s-Godunova – Levin convex functions, quasiconvex, η-quasi-convex.
S. I. Butt, B. Bayraktar, M. Umar
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