The Generalised Integration by Parts Formula for Appell Sequences and Related Results
Commun. Korean Math. Soc. 2004 Vol. 19, No. 1, 75-92 Printed March 1, 2004
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