Results 11 to 20 of about 950,431 (295)

A power mean inequality for the Grötzsch ring function [PDF]

Mathematical Inequalities & Applications, 2011
The Grotzsch ring function has numerous applications in geometric function theory and its properties have been investigated by many authors. Here we extend an earlier functional inequality involving the Grotzsch ring function and the geometric mean, due to Anderson, Vamanamurthy and Vuorinen, to the case of power mean.
Gendi Wang, Xiaohui Zhang, Yuming Chu
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A power mean inequality involving the complete elliptic integrals [PDF]

Rocky Mountain Journal of Mathematics, 2014
In this paper the authors investigate a power mean inequality for a special function which is defined by the complete elliptic integrals.
Wang, Gendi, Zhang, Xiaohui, Chu, Yuming
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The sharper version for generalized power mean inequalities with negative exponent

Journal of Mathematical Inequalities, 2023
Summary: In this study, the generalized power mean inequalities with a negative parameter are refined using an optimality theorem on the generator function. The optimality theorem requires the study of different cases for the exponents and yields a refinement of the inequality in a neighbourhood of the vectors for which the equality occurs. Then, these
Tinaztepe, Ramazan, Tinaztepe, Gültekin, Eken, Zeynep, Sezer, Sevda, Kemali, Serap, Yeşilce Işık, İlknur, Sezer Evcan, Sinem   +6 more
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Strengthened power mean inequalities based on superquadraticity

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
The main goal of this paper is a study of more precise power mean inequalities based on a superquadraticity. Our main results lean on a strengthened form of the Jensen inequality that holds for a class of non-negative superquadratic functions. In addition, even more accurate class of power mean inequalities has been established by using the invariance ...
Bošnjak, Marija, Krnić, Mario
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An optimal power mean inequality for the complete elliptic integrals

Applied Mathematics Letters, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Miao-Kun, Chu, Yu-Ming, Qiu, Ye-Fang, Qiu, Song-Liang   +3 more
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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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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
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Weak log-majorization and inequalities of power means

The Electronic Journal of Linear Algebra, 2023
As noncommutative versions of the quasi-arithmetic mean, we consider the Lim-Pálfia's power mean, Rényi right mean, and Rényi power means. We prove that the Lim-Pálfia's power mean of order $t \in [-1,0)$ is weakly log-majorized by the log-Euclidean mean and fulfills the Ando-Hiai inequality.
Miran Jeong, Sejong Kim
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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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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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