THE GENERALISED INTEGRATION BY PARTS FORMULA FOR APPELL SEQUENCES AND RELATED RESULTS

Title & Authors
THE GENERALISED INTEGRATION BY PARTS FORMULA FOR APPELL SEQUENCES AND RELATED RESULTS
Dargomir, S.S.;

Abstract
A generalised integration by parts formula for sequences of absolutely continuous functions that satisfy the $\small{{\omega}-Appell}$ 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;
Language
English
Cited by
1.
Approximating real functions which possess nth derivatives of bounded variation and applications, Computers & Mathematics with Applications, 2008, 56, 9, 2268
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