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Korean Mathematical Society JKMS

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J. Korean Math. Soc. 1996; 33(1): 155-167

Printed March 1, 1996

Copyright © The Korean Mathematical Society.

One-sided best simultaneous $L_1$-approximation

Sung Ho Park and Hyang Joo Rhee

Sogang University and Duksung Women's University

Abstract

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The problem of best $L_1$-approximation of functions simultaneously is considered. For a function, characterization of one-sided approximation has been much studied. The present paper generalizes recent work concerned with the simultaneous approximation and the one-sided approximation.

Keywords: One-sided best simultaneous $L_1$-approximation, positive quadrature formula, one-sided $L_1$-unicity space

MSC numbers: 41A28

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