Results 11 to 20 of about 8,547,446 (271)
An Algebraic Inequality, II [PDF]
, 2001 In this article, using inequality between logarithmic mean and one-parameter mean, which can be deduced from monotonicity of the extended mean values, an integral analogue of J. S. Martins’ inequality is proved.
Qi, Feng, Guo, Bai-Ni
core +6 more sources
Schur-convexity of the Extended Mean Values [PDF]
, 2001 In this article, the Schur-convexity of the extended mean values are proved. Consequently, an inequality between the logarithmic mean values and the identity (exponential) mean values is ...
Qi, Feng
core +6 more sources
Structural Divergence Between the Moltbook AI-Agent Network and Human Social Networks. [PDF]
Adv Sci (Weinh)Analysis of the Moltbook AI‐agent network reveals a striking combination of familiar global scaling and distinct internal organization. Attention is highly concentrated, reciprocity is limited, connected triads are suppressed, and communities are strongly modular.
Hou W, Ji Z.
europepmc +2 more sources
Hermite-Hadamard's Inequality and the p-HH-Norm on the Cartesian Product of Two Copies of a Normed Space [PDF]
, 2008 The Cartesian product of two copies of a normed space is naturally equipped with the well-known p-norm. In this paper, another notion of norm is introduced, and will be called the p-HH-norm. This norm is an extension of the generalised logarithmic mean
Dragomir, Sever S, Kikianty, Eder
core +6 more sources
The Extended Mean Values: Definition, Properties, Monotonicities, Comparison, Convexities, Generalizations, and Applications [PDF]
, 2001 The extended mean values E(r, s; x, y) play an important role in theory of mean values and theory of inequalities, and even in the whole mathematics, since many norms in mathematics are always means.
Qi, Feng
core +6 more sources
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 +2 more
openaire +2 more sources
Fractional Ostrowski Type Inequalities via $\phi-\lambda-$Convex Function [PDF]
Sahand Communications in Mathematical AnalysisIn 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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
Optimal sublinear inequalities involving geometric and power means [PDF]
Mathematica Bohemica, 2009 Summary: There are many relations involving the geometric means \(G_{n}(x)\) and power means \([A_{n}(x^{\gamma })]^{1/\gamma }\) for positive \(n\)-vectors \(x\). Some of them assume the form of inequalities involving parameters. There then is the question of sharpness, which is quite difficult in general.
Wen, Jiajin +2 more
openaire +2 more sources