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2011 Generalization of an integral formula of Guessab and Schmeisser
Sanja Kovac , Josip Pecaric
Banach J. Math. Anal. 5(1): 1-18 (2011). DOI: 10.15352/bjma/1313362975

Abstract

Weighted version of two-point integral quadrature formula is obtained using $w-$harmonic sequences of functions. Improved version of Guessab and Schmeisser's result is given with new integral inequalities under various regular conditions. As special cases, the generalizations of quadrature formulae of Gauss type are established.

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Sanja Kovac . Josip Pecaric. "Generalization of an integral formula of Guessab and Schmeisser." Banach J. Math. Anal. 5 (1) 1 - 18, 2011. https://doi.org/10.15352/bjma/1313362975

Information

Published: 2011
First available in Project Euclid: 14 August 2011

zbMATH: 1208.41019
MathSciNet: MR2738515
Digital Object Identifier: 10.15352/bjma/1313362975

Subjects:
Primary: 25D15
Secondary: 65D30 , 65D32

Keywords: best possible constants , Chebyshev--Gauss inequality , Gauss formula , Hermite--Gauss inequality , Legendre--Gauss inequality , quadrature formula , sharp constants , two-point quadrature formula , ‎weight function , w-harmonic sequences of functions

Rights: Copyright © 2011 Tusi Mathematical Research Group

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Vol.5 • No. 1 • 2011
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