mean value
Mean Value Prediction of the Biased Estimators
... Abstract- In this paper we formulate Stein–minimax type estimators and compare the performance properties with other estimators in case of mean value predictions. When the model is estimated by ordinary ...
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AMS Subject Classification: Primary 39B82; Secondary 39B22; 26D10. Key Words: Hyers-Ulam stability; mean value theorem; Lagrange’s mean value point; two-
... We can extend the intimate concept of Lagrange’s mean value points to the two-dimensional cases. We now introduce the two-dimensional Lagrange’s mean value theorem (see [14, The- orem 4.1]). ...
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Generating Functions for the Mean Value of a Function on a Sphere and Its Associated Ball in
... Research Article Generating Functions for the Mean Value of a Function on a Sphere and Its Associated Ball in Rn Antonela Toma Department of Mathematics II, University Politehnica of Buc[r] ...
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Approach to a Proof of the Riemann Hypothesis by the Second Mean Value Theorem of Calculus
... respect to the multi-valuedness. This is better to see in case of the modified Bessel functions for which the curves vanish less rapidly with increasing y as we intend to show at another place. All these considerations ...
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A survey on Ostrowski type inequalities related to Pompeiu's mean value theorem
... Abstract. In this paper we survey some recent results obtained by the au- thor related to Pompeiu’s mean value theorem and inequality. Natural appli- cations to Ostrowski type inequalities that play an ...
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A hybrid mean value involving a new sum and Kloosterman sums
... This sum was introduced by Professor Todd Cochrane, and it has been studied by many authors, and one obtained many interesting results. Related works can be found in [–] and [–]. For example, Zhang [] studied the ...
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An identity involving the mean value of two term character sums
... Abstract The main purpose of this paper is, using the properties of Gauss sums and the estimate for character sums, to study the mean value problem of the two-term character sums and giv[r] ...
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Some Coding Theorems for Nonadditive Generalized Mean Value Entropies
... We give an optimality characterization of nonadditive generalized mean-value entropies from suit- able nonadditive and generalized mean-value properties of the measure of average length. The ...
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On a functional equation related to a generalization of Flett's mean value theorem
... Lagrange mean value theorem to ask the question of which functions attained their mean value at a prescribed point c ∈ (a,b), in par- ticular, at the midpoint c = (a + ...the mean ...
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Ostrowski and Trapezoid type inequalities related to Pompeiu's mean value theorem
... Keywords and phrases: Pompeiu’s mean value theorem, Ostrowski inequality, trapezoid inequality, special means, divergence measure.. , Zagreb.[r] ...
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Index Terms - Laboratory Quality Control, mean value, standard
... Method: Referring to some significant different resources, precise information of the quality control and standard test procedures were provided. In addition to that statistical analysis of processed data was used to ...
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High order Riesz transforms and mean value formula for generalized translate operator
... the mean value theo- rem related to the generalized shift ...The mean value formula for the equa- tions B xn u = and B xn u + λu = were obtained by [] and [], respectively, ...
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The mean value theorem and Taylor’s theorem for fractional derivatives with Mittag–Leffler kernel
... In this manuscript, we have proved the mean value theorem and Taylor’s theorem for derivatives defined in terms of a Mittag–Leffler kernel. Formulae (6) and (10) obtained for Taylor’s theorem in the ABC ...
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An hybrid mean value of quadratic Gauss sums and a sum analogous to Kloosterman sums
... If p ≡ mod , then we cannot give a computational formula for the hybrid mean value in Theorem . In this case, the difficulty is that we cannot obtain an exact value for the behind formula (). We ...
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Correction and Supplement to Approach for a Proof of Riemann Hypothesis by Second Mean Value Theorem
... By a very short information of Victor Katsnelson [9], I recognized that the very generally formulated Theorem 1 in [1] failed for a given example of piece- wise constant Omega functions with equal interval length. By ...
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A comparative study on mean value modelling of two-stroke marine diesel engine
... cycle mean value models and zero or one- dimensional ...cycle mean value models compromise between the above mentioned contradictory factors and, therefore, are widely used throughout the ...
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Invariance of the Cauchy mean value expression with an application to the problem of representation of Cauchy means
... The notion of invariance under transformations (changes of coordinates) of the Cauchy mean-value expression is introduced and then used in furnishing a suitable two-variable version of a result by L. ...
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On Generalized Flett's Mean Value Theorem
... In recent years there has been renewed interest in Flett’s mean value theorem; see a survey in 9. Among the many other extensions and generalizations of Theorem 1.3, see, for example, 10–13, we focus on ...
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Flett's mean value theorem in topological vector spaces
... 1. Introduction. In 1958, Flett proved that if f : [a, b] → R is differentiable on [a, b] and satisfies f (a) = f (b), then there exists η in the open interval (a, b) such that f (η) − f (a) = (η − a)f (η) [3]. Flett’s ...
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On the mean value of the two term Dedekind sums
... Here, we are concerned whether there exists an asymptotic formula for mean value (). Regarding this problem, it seems that no one has studied it, at least we have not seen any related result before. The ...
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