Results 21 to 30 of about 36,503 (284)

Inequalities between Power Means and Convex Combinations of the Harmonic and Logarithmic Means [PDF]

Journal of Applied Mathematics, 2012
We prove that αH(a, b)+(1 − α)L(a, b) > M(1−4α)/3(a, b) for α ∈ (0, 1) and all a, b > 0 with a ≠ b if and only if α ∈ [1/4, 1) and αH(a, b)+(1 − α)L(a, b) < M(1−4α)/3(a, b) if and only if , and the parameter (1 − 4α)/3 is the best possible in either case.
Qian, Wei-Mao, Shen, Zhong-Hua
openaire   +4 more sources

Properties of distance spaces with power triangle inequalities

Karpatsʹkì Matematičnì Publìkacìï, 2016
Metric spaces provide a framework for analysis and have several very useful properties. Many of these properties follow in part from the  triangle inequality.
D. Greenhoe
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Fractional Ostrowski Type Inequalities via $\phi-\lambda-$Convex Function [PDF]

Sahand Communications in Mathematical Analysis
In this paper, we aim to  state well-known Ostrowski inequality via fractional Montgomery identity for the class of $\phi-\lambda-$ convex functions. This generalized class of convex function contains other well-known convex functions from literature ...
Ali Hassan, Asif Khan
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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, Josip Pečarić, Jurica Perić   +2 more
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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, Büşra Yergöz, Abdulvahit Yergöz   +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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Generalized power means and interpolating inequalities [PDF]

Proceedings of the American Mathematical Society, 1999
Let \(Q_n\subset\mathbb{R}_+^n\) (\(n\geq 2\)) be a non-empty set and \(\mathbf{f}=(f_1,f_2,\dots,f_m)\), where \(f_i:Q_n\rightarrow\mathbb{R}_+\), \(1\leq i\leq m\), are distinct functions. Let also \(w_i>0\), \(1\leq i\leq m\), and \(\Delta(\mathbf{w})=\Delta (w_1, \dots,w_m)\) be the \((m-1)\)-simplex in \(\mathbb{R}^m\) with vertices \((0,\dots,0,1/
Ku, Hsu-Tung, Ku, Mei-Chin, Zhang, Xin-Min   +2 more
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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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Some Bullen-Simpson type inequalities for differentiable s-convex functions [PDF]

Mathematica Moravica
Convexity is one of the fundamental principles of analysis. Over the past few decades, many important inequalities have been established for different classes of convex functions.
Meftah Badreddine, Samoudi Sara
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Hermite–Hadamard-type inequalities for geometrically r-convex functions in terms of Stolarsky’s mean with applications to means

Advances in Difference Equations, 2021
In this paper, we obtain new Hermite–Hadamard-type inequalities for r-convex and geometrically convex functions and, additionally, some new Hermite–Hadamard-type inequalities by using the Hölder–İşcan integral inequality and an improved power-mean ...
Muhammad Amer Latif
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