Generalizations of the Trapezoid Inequalities Based on a New Mean Value Theorem for the Remainder in Taylor’s Formula

نویسندگان

  • A. I. KECHRINIOTIS
  • N. D. ASSIMAKIS
چکیده

Generalizations of the classical and perturbed trapezoid inequalities are developed using a new mean value theorem for the remainder in Taylor’s formula. The resulting inequalities for N -times differentiable mappings are sharp.

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تاریخ انتشار 2006