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Harmonic Mean

Generalized Ulam-Hyers Stability of the Harmonic Mean Functional Equation in Two Variables

Generalized Ulam-Hyers Stability of the Harmonic Mean Functional Equation in Two Variables

... Definition 1.8. Let X be set of positive real numbers. A function H : X ×X → R be such that H(x, y) = x+y 2xy is called harmonic mean function if it satisfies the functional equation (1.12). The functional ...

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A weighted fourth order Runge-Kutta method based on contra-harmonic mean

A weighted fourth order Runge-Kutta method based on contra-harmonic mean

... Abstract. This paper discusses a weighted fourth order Runge-Kutta method based on contra-harmonic mean to solve ordinary differential equations. The local truncation error and stability analysis for this ...

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Harmonic Mean Iteratively Reweighted Least Squares for Low-Rank Matrix Recovery

Harmonic Mean Iteratively Reweighted Least Squares for Low-Rank Matrix Recovery

... call harmonic mean iteratively reweighted least squares (HM-IRLS), optimizes a non-convex Schatten-p quasi-norm penalization to promote low-rankness and carries three major strengths, in particular for the ...

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Improvement of the Traditional Canny Edge Detection Algorithm by using Combination of Arithmetic Mean Filter, Harmonic Mean Filter and Geometric Mean Filter

Improvement of the Traditional Canny Edge Detection Algorithm by using Combination of Arithmetic Mean Filter, Harmonic Mean Filter and Geometric Mean Filter

... Arithmetic Mean Filter, Harmonic Mean Filter and Geometric Mean ...Arithmetic Mean Filter, Harmonic Mean Filter and Geometric Mean Filter is to improve the ...

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k–Super Harmonic Mean Labeling of Certain Snake Graphs

k–Super Harmonic Mean Labeling of Certain Snake Graphs

... k-Super harmonic mean labeling if ( ) ∪ { f ∗ ( ) : ∈ ( )} = { , + 1, + 2, … , + + − ...k-Super harmonic mean labeling is called k-Super harmonic mean ...

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Reverse arithmetic harmonic mean and mixed mean operator inequalities

Reverse arithmetic harmonic mean and mixed mean operator inequalities

... This note aims to present some scalar inequalities and operator inequalities on a Hilbert space. Firstly, the direct reverse weighted arithmetic-harmonic mean inequalities for scalars are obtained. ...

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A new fourth-order embedded method based on the harmonic mean

A new fourth-order embedded method based on the harmonic mean

... Keywords Harmonic Mean, Runge-Kutta method, stability, error control. Abstrak Dalam kertas ini kami rumuskan satu kaedah terbenam berperingkat 4 yang berasaskan min harmonik dan min aritmetik. Kaedah ini ...

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NN-Harmonic Mean Aggregation Operators Based MCGDM Strategy in Neutrosophic Number Environment

NN-Harmonic Mean Aggregation Operators Based MCGDM Strategy in Neutrosophic Number Environment

... neutrosophic number weighted harmonic mean operator (NNWHMO); cosine function, score.. 31.[r] ...

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Contra Harmonic Mean Labeling of Some Disconnected Graphs

Contra Harmonic Mean Labeling of Some Disconnected Graphs

... introduced mean labeling for some standard graphs in 2013 ...introduced Harmonic mean labeling of graph ...Contra Harmonic mean labeling in [5].The Contra Harmonic mean ...

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A harmonic mean inequality for the digamma function and related results

A harmonic mean inequality for the digamma function and related results

... Abstract – We present some inequalities and a concavity property of the digamma function ψ = Γ 0 /Γ, where Γ denotes Euler’s gamma function. In particular, we offer a new characterization of Euler’s constant γ = ...

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Using Harmonic Mean to Solve Multi Objective Linear Programming Problems

Using Harmonic Mean to Solve Multi Objective Linear Programming Problems

... using Harmonic mean for values of function and an algorithm is suggested for its solution, the computer applica- tion of algorithm has been demonstrated by solving some numerical ...arithmetic mean, ...

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k–Super Harmonic Mean Labeling Of Some Graphs

k–Super Harmonic Mean Labeling Of Some Graphs

... of mean labeling of graphs. R. Ponraj and D. Ramya introduced Super mean labeling of graphs in ...of Harmonic mean labeling in [6] and studied their behavior in ...Super harmonic ...

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K-Contra Harmonic Mean Labeling of Some Graphs

K-Contra Harmonic Mean Labeling of Some Graphs

... The Study of labelled graph is important due to its diversified applications. It is very interesting to investigate graphs which admit k-Contra Harmonic Mean Labelling. In this paper, we proved that Path, ...

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Comparison of Arithmetic Mean, Geometric Mean and Harmonic Mean Derivative-Based Closed Newton Cotes Quadrature

Comparison of Arithmetic Mean, Geometric Mean and Harmonic Mean Derivative-Based Closed Newton Cotes Quadrature

... In this section, The values of $ H I and <H JH are estimated using the arithmetic, geometric and harmonic mean derivative-based closed Newton cotes formula and the results are compared with the existing ...

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Super Harmonic Mean Labeling of Some Graphs

Super Harmonic Mean Labeling of Some Graphs

... introduced mean labeling of graphs in 3 ...super mean labeling of graphs in 4 ...concept Harmonic mean labeling in 5 and studied their behaviour in 6, 7, 8 ...super harmonic mean ...

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Efficient Hierarchic Predictive Multivariate Product Estimator Based On Harmonic Mean

Efficient Hierarchic Predictive Multivariate Product Estimator Based On Harmonic Mean

... Abstract− In this paper, extending the work of hierarchic estimation proposed by Agrawal and Sthapit(1997), we define a multivariate product estimator using harmonic means of multi-auxiliary variables which ...

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Two Sharp Inequalities for Power Mean, Geometric Mean, and Harmonic Mean

Two Sharp Inequalities for Power Mean, Geometric Mean, and Harmonic Mean

... Wu, “Generalization and sharpness of the power means inequality and their applications,” Journal of Mathematical Analysis and Applications, vol.. Richards, “Sharp power mean bounds for t[r] ...

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Best possible inequalities for the harmonic mean of error function

Best possible inequalities for the harmonic mean of error function

... It is well known that the error function erfx is odd, strictly increasing on –∞, +∞ with limx→+∞ erfx = , strictly concave and strictly log-concave on [, +∞.. In particular, many remar[r] ...

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A Neutral Model With Fluctuating Population Size and Its Effective Size

A Neutral Model With Fluctuating Population Size and Its Effective Size

... cally equal to the harmonic mean in the case of weak tion on genetic variation in a species. Effects of weak autocorrelation or strong mutation and the effective selection depend on population size (Ohta ...

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Evaluation of Traits Related to Drought Stress in Sesame (Sesamum Indicum L.) Genotypes

Evaluation of Traits Related to Drought Stress in Sesame (Sesamum Indicum L.) Genotypes

... including mean productivity (MP), geometric mean productivity (GMP), harmonic mean (HM) and stress tolerance index (STI) [25] with physiological traits (table 4) was used to determine the ...

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