A Best Possible Double Inequality for Power Mean [PDF]
Journal of Applied Mathematics, 2012 We answer the question: for any p,q∈ℝ with p≠q and p≠-q, what are the greatest value λ=λ(p,q) and the least value μ=μ(p,q), such that the double inequality Mλ(a,b)
Yong-Min Li, Bo-Yong Long, Yu-Ming Chu
doaj +2 more sources
Fractional Ostrowski-type Inequalities via $(\alpha,\beta,\gamma,\delta)-$convex Function [PDF]
Sahand Communications in Mathematical Analysis, 2023 In this paper, we are introducing for the first time a generalized class named the class of $(\alpha,\beta,\gamma,\delta)-$convex functions of mixed kind.
Ali Hassan +3 more
doaj +1 more source
Properties of the power-mean and their applications
AIMS Mathematics, 2020 Suppose $w,v>0$, $w\neq v$ and $A_{u}\left (w,v\right) $ is the $u$-order power mean (PM) of $w$ and $v$. In this paper, we completely describe the convexity of $u\mapsto A_{u}\left (w,v\right) $ on $\mathbb{R}$ and $% s\mapsto A_{u\left (s\right ...
Jing-Feng Tian +2 more
doaj +1 more source
Newton–Simpson-type inequalities via majorization
Journal of Inequalities and Applications, 2023 In this article, the main objective is construction of fractional Newton–Simpson-type inequalities with the concept of majorization. We established a new identity on estimates of definite integrals utilizing majorization and this identity will lead us to
Saad Ihsan Butt +3 more
doaj +1 more source
Maximizing sum rate and minimizing MSE on multiuser downlink: Optimality, fast algorithms and equivalence via max-min SIR [PDF]
, 2009 Maximizing the minimum weighted SIR, minimizing the weighted sum MSE and maximizing the weighted sum rate in a multiuser downlink system are three important performance objectives in joint transceiver and power optimization, where all the users have a ...
Chiang, Mung, Srikant, R., Tan, Chee Wei
core +1 more source
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
doaj +1 more source
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
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
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