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

Matić, M.; Pečarić, J.

Tamkang J. Math. 32, No. 2, 127-130 (2001).

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.

Reviewer: I.Raşa (Cluj-Napoca)

MSC:

26D15

Inequalities for sums, series and integrals

Keywords:

Hadamard’s inequality; Lipschitzian mappings

Citations:

Zbl 0758.26014; Zbl 0880.26019