Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

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Commun. Korean Math. Soc. 2004; 19(1): 75-92

Printed March 1, 2004

Copyright © The Korean Mathematical Society.

The Generalised Integration by Parts Formula for Appell Sequences and Related Results

S. S. Dragomir

Victoria University of Technology

Abstract

A generalised integration by parts formula for sequen-ces of absolutely continuous functions that satisfy the $w-$Appell condition and different estimates for the remainder are provided. Applications for particular instances of such sequences are pointed out as well.

Keywords: integration by parts formula, Appell polynomials, Korkine identity, analytic inequalities

MSC numbers: Primary 26D15; Secondary 26D10