• HERONIAN MEAN DERIVATIVE - BASED CLOSED NEWTON COTES QUADRATURE

T. RAMACHANDRAN, D. UDAYAKUMAR, R. PARIMALA*

Abstract


A new scheme of numerical integration formula is presented, which uses the Heronian mean at the evaluation of function derivative. These Heronian mean derivative - based closed Newton cotes quadrature rules (HRDCNC) obtain an increase of single order of precision than the existing closed Newton cotes quadrature rule (CNC). This set of rules are derived by using the concept of precision, along with the error terms. Finally, the effectiveness of the proposed rule is verified with a numerical Examples.


Keywords


Closed Newton-Cotes formula, Error terms, Heronian mean derivative, Numerical examples, Numerical integration.

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