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A Proof of Two Conjectures Related to the Erdös-Debrunner Inequality
Erdö s-Debrunner inequality Areas Extrema $p$-th power mean
2008/7/3
In this paper we prove some results which imply two conjectures proposed by Janous on an extension to the p-th power-mean of the Erdös-Debrunner inequality relating the areas of the four sub-tria...
We discuss a refinement of an inequality from Information Theory using other well known inequalities. Then we consider relationships between the logarithmic mean and inequalities of the geometric-arit...
A Refinement of Hölder's Inequality and Applications
Inner product space Gram matrix Variable unit-vector Minkowski's inequality Fan Ky's inequality Hardy's inequality
2008/7/3
In this paper, it is shown that a refinement of Hölder's inequality can be established using the positive definiteness of the Gram matrix. As applications, some improvements on Minkowski's inequa...
A Refinement of Jensen's Inequality.
A Refinement of van der Corput's Inequality
Refinement van der Corput's inequality Harmonic number
2008/7/3
In this note, a refinement of van der Corput's inequality is given.
A Relation to Hardy-Hilbert's Integral Inequality and Mulholland's Inequality
Hardy-Hilbert's integral inequality Mulholland's integral inequality $beta $ function Hö lder's inequality
2008/7/3
This paper deals with a relation between Hardy-Hilbert's integral inequality and Mulholland's integral inequality with a best constant factor, by using the Beta function and introducing a parameter A...
A Sharp Inequality of Ostrowski-Grüss Type
Ostrowski-Grüss type inequality Grüss type inequality for Riemann-Stieltjes integrals Lipschitzian type function Sharp bound
2008/7/3
The main purpose of this paper is to use a Grüss type inequality for Riemann-Stieltjes integrals to obtain a sharp integral inequality of Ostrowski-Grüss type for functions whose first derivatives are...
We derive a simple q-analogue of Konrad Knopp's inequality for Euler-Knopp
means, using the finite and infinite q-binomial theorems.
A Coefficient Inequality For Certain Classes Of Analytic Functions Of Complex Order
Starlike functions of complex order Convex functions of complex order Subordination Fekete-Szegö inequality
2008/7/3
A Coefficient Inequality For Certain Classes Of Analytic Functions Of Complex Order.
A Computer Proof of Turán's Inequality
Turán's inequality Cylindrical Algebraic Decomposition
2008/7/3
A Computer Proof of Turán's Inequality.
A Functional Inequality for the Survival Function of the Gamma Distribution
Error function Incomplete gamma function Density function Survival function Complete monotonicity
2008/7/3
In this note we give a completely different proof to a functional inequality established by Ismail and Laforgia for the survival function of the gamma distribution and we show that the inequality in t...
A General $L_2$ Inequality of Grüss Type
Euler-Maclaurin formula Error estimate Grüss type inequality
2008/7/3
A General $L_2$ Inequality of Grüss Type.
A General Optimal Inequality for Arbitrary Riemannian Submanifolds
$delta$-invariants Inequality Riemannian submanifold Squared mean curvature Sectional curvature
2008/7/3
One of the most fundamental problems in submanifold theory is to establish simple relationships between intrinsic and extrinsic invariants of the submanifolds (cf. [6]). A general optimal inequality f...
A Generalisation of the Pre-Grüss Inequality and Applications to some Quadrature Formulae
Pre-Grüss inequality Generalization Quadrature formulae
2008/7/3
A generalization of the pre-Grüss inequality is presented. It is applied to estimations of remainders of some quadrature formulae.
A Generalization for Ostrowski's Inequality in $\mathbb{R}^2$
Ostrowski's inequality Mean value theorem
2008/7/3
We establish a new Ostrowski's inequality in by using an idea of B.G. Pachpatte.