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Zbl 0938.26012
Dragomir, S.S.; Agarwal, R.P.
Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula. (English)
[J] Appl. Math. Lett. 11, No.5, 91-95 (1998). ISSN 0893-9659

Summary: We offer two inequalities for differentiable convex mappings which are connected with the celebrated Hermite-Hadamard's integral inequality holding for convex functions. Some natural applications to special means of real numbers are given. Finally, some error estimates for the trapezoidal formula are also addressed.

MSC 2000:: *26D15 Inequalities for sums, series and integrals of real functions
65D32 Quadrature formulas (numerical methods)
26E60 Means

Keywords: Hermité-Hadamard inequality; integral inequality; numerical integration; convex functions; special means; trapezoidal formula

Cited in: Zbl 0970.26016 Zbl 0951.26012

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