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J. Korean Math. Soc. 2004; 41(2): 249-264

Printed March 1, 2004

Copyright © The Korean Mathematical Society.

New estimates of the Cebysev functional for Stieltjes integrals and applications

S. S. Dragomir

Victoria University of Technology

Abstract

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In this paper, some new estimates of the \v{C}eby\v{s}ev functional for Stieltjes integrals are provided. Applications for quadrature formulae in approximating the Riemann-Stieltjes integral are also given.

Keywords: Cebysev functional, Gruss type inequality, Stieltjes integral

MSC numbers: Primary 26D15; Secondary 41A55

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