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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

Article 11, Volume 43, Issue 2, April 2017, Page 409-425  XML PDF (153 K)
Document Type: Research Paper
Authors
K. C. Hsu1; S. R. Hwang2; K. L. Tseng 3
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.
Keywords
Hermite-Hadamard inequality‎; ‎Simpson inequality‎; ‎midpoint‎ ‎inequality‎; ‎trapezoid inequality‎; ‎convex function‎; ‎concave functions‎; ‎special means‎; ‎quadrature rules‎
Main Subjects
26-XX Real Functions
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