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Optimal bounds of exponential type for arithmetic mean by Seiffert-like mean and centroidal mean
Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2021Ling Zhu
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Expert Systems With Applications, 2018
The main focus of this paper is the aggregation of local priorities into global priorities in the Analytic Hierarchy Process (AHP) method. We study two most frequently used aggregation approaches - the weighted arithmetic and weighted geometric means ...
Jana Krejčí, Jan Stoklasa
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The main focus of this paper is the aggregation of local priorities into global priorities in the Analytic Hierarchy Process (AHP) method. We study two most frequently used aggregation approaches - the weighted arithmetic and weighted geometric means ...
Jana Krejčí, Jan Stoklasa
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Georgian Mathematical Journal, 2021
The purpose of this paper is to give a degree of approximation of a function in the space H p ω {H^{\omega}_{p}} with norm ∥ ⋅ ∥ p ω {\lVert\,\cdot\,\rVert^{\omega}_{p}} by using even-type delayed arithmetic mean of its Fourier series.
Jaeman Kim
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The purpose of this paper is to give a degree of approximation of a function in the space H p ω {H^{\omega}_{p}} with norm ∥ ⋅ ∥ p ω {\lVert\,\cdot\,\rVert^{\omega}_{p}} by using even-type delayed arithmetic mean of its Fourier series.
Jaeman Kim
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Mathematica Slovaca, 2020
In the article, we present the best possible parameters α1, β1, α2, β2 ∈ ℝ and α3, β3 ∈ [1/2, 1] such that the double inequalities α1C(a,b)+(1−α1)A(a,b)
Honghu Chu +2 more
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In the article, we present the best possible parameters α1, β1, α2, β2 ∈ ℝ and α3, β3 ∈ [1/2, 1] such that the double inequalities α1C(a,b)+(1−α1)A(a,b)
Honghu Chu +2 more
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On approximating the arithmetic-geometric mean and complete elliptic integral of the first kind
Journal of Mathematical Analysis and Applications, 2018 In the article, we prove that the double inequalities 1 + ( 6 p − 7 ) r ′ p + ( 5 p − 6 ) r ′ π tanh − 1 ( r ) 2 r K ( r ) 1 + ( 6 q − 7 ) r ′ q + ( 5 q − 6 ) r ′ π tanh − 1 ( r ) 2 r , q A ( 1 , r ) + ( 5 q − 6 ) G ( 1 , r ) A ( 1 , r ) + ( 6 q − 7 )
Zhen-Hang Yang +2 more
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Intuitionistic Fuzzy Hybrid Weighted Arithmetic Mean and Its Application in Decision Making
Int. J. Uncertain. Fuzziness Knowl. Based Syst., 2019Atanassov’s intuitionistic fuzzy sets (AIFSs), characterized by a membership function, a non-membership function, and a hesitancy function, is a generalization of a fuzzy set.
Weize Wang, J. Mendel
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A Characterization of Weighted Arithmetic Means
SIAM Journal on Algebraic Discrete Methods, 1980We prove, among other things, that the set of weighted arithmetic means is identical with the set of functions $f:R^n \to R$ satisfying (i) $\min \{ x_j \}\leqq f ( x_1 ,x_2 , \cdots ,x_n )\leqq \max \{ x_j \}$ and (ii) for $k = 2,3:\sum _{i = 1}^k x_{ij} = s( j = 1,2, \cdots ,n ) \Rightarrow \sum _{i = 1}^k f( x_{i1} ,x_{i2} , \cdots ,x_{in} ) = s$.
J. Aczél, C. Wagner
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Visualizing the Arithmetic Mean
Mathematics Teacher: Learning and Teaching PK-12, 2021The two provided activities are geared for students in middle school to facilitate and deepen their understanding of the arithmetic mean. Through these activities, students analyze visual representations and use a special type of statistical thinking called transnumerative thinking.
Michael Daiga, Shannon Driskell
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