Results 11 to 20 of about 4,840,438 (270)

Generalized Abstracted Mean Values [PDF]

, 1998
In this article, the author introduces the generalized abstracted mean values which extend the concepts of most means with two variables, and researches their basic properties and ...
Qi, Feng
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Other Proofs of Monotonicity for Generalized Weighted Mean Values [PDF]

, 1999
In this article, another two simple and short proofs of monotonicity for the generalized weighted mean values with two parameters are ...
Qi, Feng, Mei, Jia-Qiang, Xu, Sen-Lin
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A Type of Mean Values of Several Positive Numbers with Two Parameters [PDF]

, 2006
In this article, a type of mean values of several positive numbers with two parameters are defined by using the generalized Vandermonde determinant, some basic properties of them are given, and several inequalities for some mean values including the ...
Zhang, Zhi-Hua, Qi, Feng, Xiao, Zhen-Gang   +2 more
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Notes on the Schur-convexity of the Extended Mean Values [PDF]

, 2002
In this article, the Schur-convexities of the weighted arithmetic mean of function and the extended mean values are proved. Moreover, some inequalities involving the arithmetic mean, the harmonic mean, the logarithmic mean, and comparison between the ...
Qi, Feng, Sándor, József, Dragomir, Sever S, Sofo, Anthony   +3 more
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Bounds for the generalized ( Φ; f)-mean difference

Cubo, 2020
In this paper we establish some bounds for the \( (\Phi;f) \)-mean difference introduced in the general settings of measurable spaces and Lebesgue integral, which is a two functions generalization of Gini mean difference that has been widely used by ...
Silvestru Sever Dragomir
doaj   +1 more source

Development and Validation of Quasi-Eulerian Mean Three-Dimensional Equations of Motion Using the Generalized Lagrangian Mean Method

Journal of Marine Science and Engineering, 2021
This study aims at developing a new set of equations of mean motion in the presence of surface waves, which is practically applicable from deep water to the coastal zone, estuaries, and outflow areas.
Duoc Tan Nguyen, Niels G. Jacobsen, Dano Roelvink   +2 more
doaj   +1 more source

Assessing Probabilistic Inference by Comparing the Generalized Mean of the Model and Source Probabilities

Entropy, 2017
An approach to the assessment of probabilistic inference is described which quantifies the performance on the probability scale. From both information and Bayesian theory, the central tendency of an inference is proven to be the geometric mean of the ...
Kenric P. Nelson
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Generalized Metallic Means

The Fibonacci Quarterly, 2019
The metallic means (also known as metallic ratios) may be defined as the limiting ratio of consecutive terms of sequences connected to the Fibonacci sequence via the INVERT transform. For example, the Pell sequence (invert transform of the Fibonacci sequence) gives the so-called silver mean, and the invert transform of the Pell sequence leads to the ...
Gil, Juan B., Worley, Aaron
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On a generalization of u‐means [PDF]

International Journal of Mathematics and Mathematical Sciences, 1990
In this paper we present an extension of Bauer′s work about u‐means. We consider a kind of composition of an admissible function u(x) (described by Bauer) and of a compatible function ϕ(x). This construction allows us to define (u, ϕ)‐means. When ϕ(x) = x, the (u, ϕ)‐means are the u‐means introduced by Bauer.
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Schur-convexity of the Extended Mean Values [PDF]

, 2001
In this article, the Schur-convexity of the extended mean values are proved. Consequently, an inequality between the logarithmic mean values and the identity (exponential) mean values is ...
Qi, Feng
core   +6 more sources