Hsu, K., Hwang, S., Tseng, K. (2017). Some extended Simpson-type inequalities and applications. Bulletin of the Iranian Mathematical Society, 43(2), 409-425.
K. C. Hsu; S. R. Hwang; K. L. Tseng. "Some extended Simpson-type inequalities and applications". Bulletin of the Iranian Mathematical Society, 43, 2, 2017, 409-425.
Hsu, K., Hwang, S., Tseng, K. (2017). 'Some extended Simpson-type inequalities and applications', Bulletin of the Iranian Mathematical Society, 43(2), pp. 409-425.
Hsu, K., Hwang, S., Tseng, K. Some extended Simpson-type inequalities and applications. Bulletin of the Iranian Mathematical Society, 2017; 43(2): 409-425.
Some extended Simpson-type inequalities and applications
1Department of Business Administration, Aletheia University, Tamsui, New Taipei City 25103, Taiwan.
2China University of Science and Technology, Nankang, Taipei 11522, Taiwan.
3Department of Applied Mathematics, Aletheia University, Tamsui, New Taipei City 25103, Taiwan.
Receive Date: 25 November 2014,
Revise Date: 11 November 2015,
Accept Date: 29 November 2015
Abstract
In this paper, we shall establish some extended Simpson-type inequalities for differentiable convex functions and differentiable concave functions which are connected with Hermite-Hadamard inequality. Some error estimates for the midpoint, trapezoidal and Simpson formula are also given.
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