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AN IDENTITY FOR n-TIME DIFFERENTIABLE FUNCTIONS AND APPLICATIONS FOR OSTROWSKI TYPE INEQUALITIES
Barnett, N.S.,Dragomir, S.S. The Youngnam Mathematical Society Korea 2003 East Asian mathematical journal Vol.19 No.2
An identity for n-time differentiable functions of a real variable in terms of multiple integrals and applications for Ostrowski type inequalities are given.
A Note on Bounds for the Estimation Error Variance of a Continuous Stream with Stationary Variogram
Barnett, N.S.,Dragomir, S.S. 한국산업정보응용수학회 1998 한국산업정보응용수학회 Vol.2 No.2
In this paper, by the use of an Ostrowski type integral inequality for double integrals, we establish an upper bound for the estimation error variance of a continuous stream with stationary variogram.
An Inequality of Ostrowski's Type for Cumulative Distribution Functions
N.S. Barnett ...et al. KYUNGPOOK UNIVERSITY 1999 Kyungpook mathematical journal Vol.39 No.2
The main aim of this paper is to establish an Ostrowski's type inequality for the cumulative distribution function of a random variable taking values in a finite interval [a, b]. An application for a Beta random variable is also given.
A PERTURBED TRAPEZOID INEQUALITY IN TERMS OF THE FOURTH DERIVATIVE
Barnett, N.S.,Dragomir, S.S. 한국전산응용수학회 2002 The Korean journal of computational & applied math Vol.9 No.1
Some error estimates in terms of the p-norms of the fourth derivative for the remainder in a perturbed trapezoid formula are given. Applications for the expectation of a random variable and the Hermite-Hadamard divergence in Information Theory are also pointed out.
Issues of Estimation in the Monitoring of Constant Flow Continuous Streams
BARNETT, N.S.,DRAGOMIR, S.S. 한국산업정보응용수학회 2000 한국산업정보응용수학회 Vol.4 No.1
This paper deals with some fundamental matters pertaining to estimation of critical quantities associated with continuous processes which are frequently related to the quality rating of the product. Specifically, it examines bounds on estimation and bounds on the estimation error variance. It draws on recent results from the theory of mathematical inequalities and their applications.
N. S. Barnett ...et al KYUNGPOOK UNIVERSITY 2000 Kyungpook mathematical journal Vol.40 No.2
Using the pre-Grüss inequality considered by Matić-Pečcarić-Ujević in a recent paper [1] and some related results, we point out some inequalities for random variables whose p.d.f.'s are bounded above and below by the assumed known constants γ and φ.