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Some Generalized Error Inequalities and Applications

Abstract

We present a family of four-point quadrature rule, a generalization of Gauss-two point, Simpson's , and Lobatto four-point quadrature rule for twice-differentiable mapping. Moreover, it is shown that the corresponding optimal quadrature formula presents better estimate in the context of four-point quadrature formulae of closed type. A unified treatment of error inequalities for different classes of function is also given.

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Correspondence to Fiza Zafar.

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Keywords

  • Generalize Error
  • Full Article
  • Publisher Note
  • Error Inequality