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Inequalities for Weighted Power Pseudo Means     Weighted power pseudo means  Inequalities       font style='font-size:12px;'> 2008/7/1
Inequalities for Weighted Power Pseudo Means.
Inequalities involving the logarithmic mean, power means, symmetric means, and the Heronian mean are derived. They provide generalizations of some known inequalities for the logarithmic mean and the p...
Cesáro Means of $N$-multiple Trigonometric Fourier Series     Trigonometric system  Cesáro means  Summability       font style='font-size:12px;'> 2008/7/1
Cesáro Means of $N$-multiple Trigonometric Fourier Series.
Suppose given the uniform approximation to the unknown convex function on a bounded interval. Starting from it the objective is to estimate the derivative of the unknown convex function. We propose th...
We present a method, based on series expansions and symmetric polynomials, by which a mean of two variables can be extended to several variables. We apply it mainly to the logarithmic mean.
Inequalities for General Integral Means     General Integral Means  Inequalities       font style='font-size:12px;'> 2008/7/1
We modify the definition of the weighted integral mean so that we can compare two such means not only upon the main function but also upon the weight function. As a consequence, some inequalities betw...
Integral Means for Starlike and Convex Functions with Negative Coefficients     Univalent  Starlike  Convex  Integral mean       font style='font-size:12px;'> 2008/6/30
Integral Means for Starlike and Convex Functions with Negative Coefficients.
Making use of the generalized hypergeometric functions, we introduce some generalized class of k-uniformly convex and starlike functions and for this class, we settle the Silverman's conjecture for th...
Integral Means Inequalities for Fractional Derivatives of Some General Subclasses of Analytic Functions.
Integral Means of Multivalent Functions     Integral means  Multivalent function  Subordination  Starlike  Convex       font style='font-size:12px;'> 2008/6/30
Integral Means of Multivalent Functions.
Invariant Means, Set Ideals and Separation Theorems     Amenable group  Set ideal  Cauchy functional equation       font style='font-size:12px;'> 2008/6/30
We establish connections between invariant means and set ideals. As an application, we obtain a necessary and sufficient condition for the separation almost everywhere of two functions by an additive ...
Maximal Operators of Fejér Means of Vilenkin-Fourier Series.
Means and Generalized Means     Gini means  Power means  Generalized means  Complementary means  Double sequences       font style='font-size:12px;'> 2008/6/30
In this paper, the Gaussian product of generalized means (or reflexive functions) is considered and an invariance principle for generalized means is proved.
In a recent paper in this journal De La Grandville and Solow [1] presented a conjecture concerning Power Means. A counterexample to their conjecture is given.
Abstract: In the present paper we establish some integral inequalities analogous to the well-known Hadamard inequality for a class of generalized weighted quasi-arithmetic means in integral fo...

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