Results 21 to 30 of about 8,547,431 (271)

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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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
doaj   +1 more source

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 an Inequality of Diananda, III [PDF]

, 2006
We extend the results in part I, II on certain inequalities involving the generalized power ...
Gao, Peng
core   +6 more sources

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
doaj   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

On matrix inequalities between the power means: Counterexamples

Linear Algebra and its Applications, 2013
We prove that the known sufficient conditions on the real parameters $(p,q)$ for which the matrix power mean inequality $((A^p+B^p)/2)^{1/p}\le((A^q+B^q)/2)^{1/q}$ holds for every pair of matrices $A,B>0$ are indeed best possible. The proof proceeds by constructing $2\times2$ counterexamples. The best possible conditions on $(p,q)$ for which $Φ(A^p)^
Audenaert, Koenraad M. R., Hiai, Fumio
openaire   +2 more sources

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, Cheng, Sui Sun, Gao, Chaobang   +2 more
openaire   +2 more sources