Results 21 to 30 of about 703,468 (190)

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

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
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, Büşra Yergöz, Abdulvahit Yergöz   +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, Josip Pečarić, Jurica Perić   +2 more
doaj   +1 more source

The Rigorous Derivation of the 2D Cubic Focusing NLS from Quantum Many-body Evolution [PDF]

, 2015
We consider a 2D time-dependent quantum system of $N$-bosons with harmonic external confining and \emph{attractive} interparticle interaction in the Gross-Pitaevskii scaling.
Chen, Xuwen, Holmer, Justin
core   +1 more source

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

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

Optimal inequalities between Seiffert's mean and power means [PDF]

Mathematical Inequalities & Applications, 2004
For the Seiffert mean \(P(x,y):=(x-y)/[4\arctan (\sqrt{x/y})-\pi ]\), the author proves that the evaluation \(A_{p}\leq P\leq A_{q}\) holds if and only if ...
openaire   +2 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

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