4 edition of **Ostrowski type inequalities and applications in numerical integration** found in the catalog.

Ostrowski type inequalities and applications in numerical integration

James Tyler Kent

- 368 Want to read
- 19 Currently reading

Published
**2002** by Kluwer Academic in Dordrecht .

Written in English

**Edition Notes**

Statement | edited by Sever S. Dragomir and Themistocles M. Rassias. |

Classifications | |
---|---|

LC Classifications | QA |

The Physical Object | |

Pagination | xix, 481 p. ; |

Number of Pages | 481 |

ID Numbers | |

Open Library | OL22512763M |

ISBN 10 | 1402005628 |

Abstract. An Ostrowski type inequality for general convex functions defined\ud on linear spaces is generalised. Some inequalities which improve the Hermite-\ud Hadamard type inequality for convex functions defined on linear spaces are\ud derived using the obtained :// Arisa Thatsatian, Sotiris K. Ntouyas, Jessada Tariboon: Some Ostrowski type inequalities for p-convex functions via generalized fractional integrals: – View: View: Xiaoling Sun, Yubin Gao, Jianwei Du: The harmonic index of two-trees and quasi-tree graphs: – View: View: New Generalization of Perturbed Ostrowski Type Inequalities and Applications Wen-jun Liu, Qiao-ling Xue, Jian-wei Dong Abstract: Generalizations of Ostrowski type inequality for functions of Lipschitzian type are established. Applications in numerical integration and cumulative distribution functions are also given. 1. Introduction

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The main aim of the present book, jointly written by the members of the Vic toria University node of RGMIA (Research Group in Mathematical Inequali ties and Applications, http: I /rgmia. edu. au) and Th. Rassias, is to present a selected number of results on Ostrowski type :// Twenty pages of Chapter XV in the above mentioned book are devoted to integral inequalities involving functions with bounded derivatives, or, Ostrowski type inequalities.

This is now itself a special domain of the Theory of Inequalities with many powerful results and a large number of applications in Numerical Integration, Probability Theory › Mathematics › Analysis. Title: Ostrowski Type Inequalities And Applications In Numerical Integration Format: Hardcover Product dimensions: pages, X X 0 in Shipping dimensions: pages, X X 0 in Published: Publisher: Kluwer Boston Inc.

Language: English Ostrowski type inequalities for multiple integrals \/ Neil S. Barnett, Pietro Cerone, Sever S. Dragomir -- 6. Results for double integrals based on Ostrowski type inequalities and applications in numerical integration book Ostrowski type inequality \/ George Hanna -- 7. Product inequalities and weighted quadrature \/ John Roumeliotis -- :// Get this from a library.

Ostrowski Type Inequalities and Applications in Numerical Integration. [Sever S Dragomir; Themistocles M Rassias] -- The main aim of the present work is to present a number of selected Ostrowski type inequalities and applications in numerical integration book on Ostrowski-type integral inequalities.

Results for univariate and multivariate real functions and their natural Ostrowski Type Inequalities and Applications in Numerical Integration Edited By: Sever S. Dragomir and Themistocles M. Rassias (S.S. Dragomir) Ostrowski type inequalities and applications in numerical integration book and Communications and Informatics, Victoria Ostrowski type inequalities Interval-valued functions \(gH\)-Differentiability and integrability of interval-valued functions Communicated by V.

Loia. The research in this article has been supported by Fondecyt-Chile project S.S. Dragomir, A. SofoOstrowski type inequalities for functions whose derivatives are convex Proceedings of the 4th International Conference on Modelling and Simulation, November 11–13, Victoria University, Melbourne, Australia, RGMIA Res.

Rep. Coll., 5 () Ostrowski Type Inequalities and Applications in Numerical Integration. by Sever S. Dragomir and Themistocles RASSIAS | Some Gronwall Type Inequalities and Applications.

by Sever S. Dragomir | Sep 1, Hardcover Goodreads Book reviews & recommendations: IMDb Movies, ?rh=n,p_Sever+S.+Dragomir. The aim of this journal is to provide a multi-disciplinary forum of discussion in mathematics and its applications in which the essentiality of inequalities is highlighted.

This Journal accepts high quality articles containing original research results and survey articles of exceptional :// Some Ostrowski type inequalities for multiple integrals and their application for cubature formulae are surveyed. type inequality for double integrals in terms of L p-norms and applications in numerical integration, Anal.

Num. Theor. Approx. for Multiple Integrals. In: Dragomir S.S., Rassias T.M. (eds) Ostrowski Type Inequalities and Dragomir, S.S. and Wang, S. (a), A new inequality of Ostrowski’s type in L p—norm and applications to some special means and to some numerical quadrature rules, Indian Journal of Mathematics, 40 (), No.

3, – [12] M. NIEZGODA, Gr¨uss and Ostrowski Type Inequalities, Applied Mathematics and Computation 23 (), – [13] J. PECARI ˇC´,NEC, Harmonic Ostrowski type inequalities and applications in numerical integration book and Generalization of Ostrowski Inequality with Applications in Numerical Integration, Nonlinear Analysis: Theory, Methods & Applications 47 (), – Ostrowski Type Inequalities and Applications in Numerical Integration by Sever S.

Dragomir (Editor); Themistocles M. Rassias (Editor) Call Number: OST ISBN: ?g=&p= S.S. Dragomir and S. Wang, A new inequality of Ostrowski’s type in L p-norm and applications to some special means and to some numerical quadrature rules, Indian J.

of Math. 40 (3), (), – Y. Chalco-Cano, W.A. Lodwick, W. Condori-EquiceOstrowski type inequalities and applications in numerical integration for interval-valued functions Soft Comput., 19 In the last decade, Grüss and Ostrowski type inequalities have attracted much attention from researchers, because of their applications in numerical analysis (see,,,).

In, Dragomir established a generalization of the Grüss inequality in inner product :// Several inequalities of Ostrowski-Grüss-type available in the literature are generalized considering the weighted case of them.

The inequality of Grüss type proved by P. Cerone and S.S. Dragomir Ostrowski’s inequalities have various coatings in numerical integration and in the theory of probability. Ina mathematician A.

Ostrowski gave an inequality named as Ostrowski inequality, since then a large number of results related to this inequality have been investigated by many :// In this paper, we establish a generalized Ostrowski-Grüss type inequality for differentiable mappings using the weighted Grüss inequality which is another generalization of inequalities established and discussed by Barnett et al.

(Inequality theory and applications, pp. ), S. Dragomir and S. Wang (Comput. Math. Appl.) and A. Rafiq et al. (:// Moreover, some Ostrowski type inequalities are given for mappings whose first derivatives are of bounded variation.

Some applications for special means and quadrature formulae are also given. View On New Generalized Ostrowski Type Integral Inequalities A. Qayyum, 1 M.

Shoaib, 2 A. Matouk, 2 and M. Latif 3 1 Department of Fundamental and Applied Sciences, Universiti T eknologi Petronas A new inequality of Ostrowski–Grüss type and applications to some numerical quadrature rules Article in Computers & Mathematics with Applications 58(3) August with 71 Reads Ostrowski and trapezoid type inequalities related to Pompeiu's mean value theorem with complex exponential weight Author: Pietro Cerone, Sever S.

Dragomir and Eder Kikianty Subject: J. Math. Inequal., 11, 4 () Fractional Hermite-Hadamard-type inequalities for interval-valued functions Authors: Hüseyin Budak, Tuba Tunç and Mehmet Zeki Sarikaya Journal: Proc. Amer. Math. Soc. (), Inequalities & Applications Volume 4, Number 1 (), 59–66 ON THE OSTROWSKI’S INTEGRAL INEQUALITY FOR MAPPINGS WITH BOUNDED VARIATION AND APPLICATIONS S.

DRAGOMIR Abstract. A generalization of Ostrowski’s inequality for mappings with bounded variation and applications in Numerical Analysis for Euler’s Beta function is [28] S. Dragomir and Th. Rassias (Eds), Ostrowski Type Inequalities and Applications in Numerical Integration, Kluwer Academic Publisher, Google Scholar [29] S.

Dragomir and S. Wang, A new inequality of Ostrowski’s type in L 1 -norm and applications to some special means and to some numerical quadrature rules, Tamkang J. of In this paper, we obtain ostrowski type inequalities for exponentially convex function and exponentially s -convex function in second sense.

Applications to some special means are also obtain. Here we extend the results of some previous :// In this way, some new types of inequalities are formed, such as inequalities of Ostrowski–Grüss type, inequalities of Ostrowski–Chebyshev type, etc.

The present paper is organized as the following. First, still in Section 1, let us use some space of the paper to mention several typical generalizations of. On utilizing a generalization of the weighted Montgomery identity obtained by Barnett and Dragomir [published in N.S. Barnett, S.S.

Dragomir, On the weighted inequalities, J. Inequal. Pure Appl. Math. 8 (4) () Art. 96], new weighted Ostrowski and Čebyšev type inequalities are :// CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): Abstract: Generalizations of Ostrowski type inequality for functions of Lipschitzian type are established.

Applications in numerical integration and cumulative distribution functions are also given. ?doi= In the article, we establish several Ostrowski type inequalities involving the conformable fractional integrals.

As applications, we find new inequalities for For other Ostrowski type inequalities, see the papers 1, 2, 4. In this article, we point out other generalizations of the Ostrowski inequality with natural applications for quadrature formulae in numerical analysis.

Some applications in connection with the well known rectangle, trapezoid, mid-point, and Simpson’s rule are also established. :// Ostrowski type inequalities and applications in numerical integration. By Sever Dragomir and Themistocles Rassias.

Cite. BibTex; Full citation; Topics: Mathematical Physics and Mathematics. Publisher: Springer. Year: DOI 2. Ostrowski Type Inequalities InOstrowski established a very interesting inequality for differentiable functions with bounded derivatives, as follows: Let f: I [subset] R [right arrow] R be a differentiable function on I[degrees], the interior of the interval I, such that f' [member of] L[a, b], where a, b [member of] I with a +inequality+of+Ostrowski's+type+for+preinvex+functions.

This book presents a collection of original research and survey articles on mathematical inequalities and their numerous applications in diverse areas of mathematics and engineering, and includes up-to-date findings on fractional integral inequalities and weighted type integral › Birkhäuser › Mathematics.

Inequalities have a great contribution in mathematical analy-sis. In nonlinear analysis, these inequalities are very useful. Ostrowski’s inequalities have various coatings in numerical integration and in the theory of probability. Ina math-ematician A. Ostrowski gave an inequality named as In this paper, we will improve and generalize inequality of Ostrowski type for mappings whose second derivatives belong to L$_{1}\\left(a,b\\right) $.

Some well known inequalities can be derived as special cases. In addition, perturbed mid-point inequality and perturbed trapezoid inequality are also obtained.

The obtained inequalities have immediate applications in numerical integration The Ostrowski inequality expresses bounds on the deviation of a function from its integral mean.

The aim of this paper is to establish some new inequalities similar to the Ostrowski's inequality. The current paper obtains bounds for the deviation of a function from a combination of integral means over the end intervals covering the entire interval in terms of the norms of the second derivative New inequalities of Simpson type and their application to quadrature formulae in Numerical Analysis are given An inequality of Ostrowski type and its applications for Simpson's rule and special means, An Ostrowski type inequality for double integrals in terms of Lp-norms and applications in numerical integration.

Their combined citations pdf counted only for the first article. Ostrowski type inequalities and applications in numerical integration. SS Dragomir, TM Rassias. Springer, Ostrowski type inequalities for functions whose derivatives are s-convex in the second ://?user=8tShUu0AAAAJ&hl=en.

[18] I. ISCAN, Ostrowski type inequalities for p-convex functions, New Trends in Mathematical Sciences 4 (), – [19] I. ISCAN,Hermite-Hadamard type inequalities for p-convex functions, International Journal of Anal-ysis and Applications 11 (), –Dragomir, Ebook. Cerone and J.

Roumeliotis, A new generalization of Ostrowski's integral inequality for mappings whose derivatives are bounded and applications in numerical integration and for special means, Appl.

Math. Lett. 13 (),