Volume 48 | Number 2 | Year 2017 | Article Id. IJMTT-V48P512 | DOI : https://doi.org/10.14445/22315373/IJMTT-V48P512

A mixed quadrature rule of higher precision for approximate evaluation of real definite integrals have been constructed using an anti-Lobatto rule. The analytical convergence of the rule has been studied. The error bounds have been determined asymptotically. In adaptive quadrature routines not before mixed quadrature rules basing on anti-Lobatto quadrature rule have been used for fixing termination criterion .Adaptive quadrature routines being recursive by nature ,a termination criterion is formed taking in to account a mixed quadrature rule. The algorithm presented in this paper and successfully tested on different integrals by C program. The relative efficiency of the mixed quadrature rule is reflected in the table at the end .

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Bibhu Prasad Singh, Dr. Rajani Ballav Dash, "Termination Criterion and error analysis of a
mixed rule using an anti-Lobatto rule in whole
interval and adaptive algorithm," *International Journal of Mathematics Trends and Technology (IJMTT)*, vol. 48, no. 2, pp. 98-107, 2017. *Crossref*, https://doi.org/10.14445/22315373/IJMTT-V48P512