By Erkus E., Duman O.

During this paper, utilizing the idea that ofA-statistical convergence that is a regular(non-matrix) summability procedure, we receive a basic Korovkin style approximation theorem which matters the matter of approximating a functionality f by way of a series {Lnf } of optimistic linear operators.

Show description

Read Online or Download A -Statistical extension of the Korovkin type approximation theorem PDF

Similar probability books

Probability and Random Processes (3rd Edition)

The 3rd version of this article supplies a rigorous creation to chance idea and the dialogue of an important random approaches in a few intensity. It contains a variety of issues that are appropriate for undergraduate classes, yet should not typically taught. it really is compatible to the newbie, and will offer a style and encouragement for extra complicated paintings.

Convergence of Stochastic Processes

A extra exact name for this e-book may be: An Exposition of chosen elements of Empirical method concept, With similar attention-grabbing proof approximately vulnerable Convergence, and purposes to Mathematical information. The excessive issues are Chapters II and VII, which describe a few of the advancements encouraged by way of Richard Dudley's 1978 paper.

Mean Field Models for Spin Glasses: Volume I: Basic Examples

It is a new, thoroughly revised, up-to-date and enlarged version of the author's Ergebnisse vol. forty six: "Spin Glasses: A problem for Mathematicians". This re-creation will look in volumes, the current first quantity provides the fundamental effects and techniques, the second one quantity is anticipated to seem in 2011.

Additional resources for A -Statistical extension of the Korovkin type approximation theorem

Sample text

Springer, New York. [6] Dubeau, F. and Savoie, J. (1997). Best error bounds for odd and even degree deficient splines. SIAM J. Numer. Anal. 34 1167–1184. , Rufibach, K. and Wellner, J. A. (2007). Marshall’s lemma [7] Du for convex density estimation. In Asymptotics, Particles, Processes, and Inverse Problems, IMS Lecture Notes Monogr. Ser. Inst. Math. , Beachwood, OH. To appear. [8] Durot, C. -S. (2003). On the distance between the empirical process and its concave majorant in a monotone regression framework.

18] Millar, P. W. (1979). Asymptotic minimax theorems for the sample distribution function. Z. Wahrsch. Verw. Gebiete 48 233–252. MR0537670 A Kiefer–Wolfowitz theorem 31 [19] Niculescu, C. P. -E. (2006). Convex Functions and Their Applications. Springer, New York. MR2178902 ¨rnberger, G. (1989). Approximation by Spline Functions. Springer, [20] Nu Berlin. , Wright, F. T. and Dykstra, R. L. (1988). Order Restricted Statistical Inference. Wiley, Chichester. MR0961262 [22] Shorack, G. R. and Wellner, J.

Estimation of a k-monotone density, part 1: characterizations, consistency, and minimax lower bounds. Technical report, Department of Statistics, University of Washington. [3] Balabdaoui, F. and Wellner, J. A. (2004). Estimation of a k-monotone density, part 4: limit distribution theory and the spline connection. Technical report, Department of Statistics, University of Washington. [4] Birkhoff, G. and de Boor, C. (1964). Error bounds for spline interpolation. J. Math. Mech. 13 827–835. MR0165294 [5] de Boor, C.

Download PDF sample

Rated 4.83 of 5 – based on 12 votes