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Note on inequalities of Hadamard’s type for Lipschitzian mappings. (English) Zbl 0993.26019

S. S. Dragomir [J. Math. Anal. Appl. 167, No. 1, 49-56 (1992; Zbl 0758.26014)] and G.-S. Yang and M.-C. Hong [Tamkang J. Math. 28, No. 1, 33-37 (1997; Zbl 0880.26019)] constructed some convex functions which interpolate the values between the sides of Hadamard’s inequality. This paper contains inequalities for Lipschitzian mappings connected with these interpolating functions.

MSC:

26D15 Inequalities for sums, series and integrals
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