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inequalities; averages of functions; quadrature

References:

[1] G. A. Anastassiou: **Ostrowski type inequalities**. Proc. Amer. Math. Soc. 123 (1995), 3775–3781. DOI 10.1090/S0002-9939-1995-1283537-3 | MR 1283537 | Zbl 0860.26009

[2] P. J. Davis and P. Rabinowitz: **Methods of Numerical Integration**. Academic Press, New York, 1975. MR 0448814

[3] A. M. Fink: **Bounds on the deviation of a function from its averages**. Czechoslovak Math. J. 42 (1992), 289–310. MR 1179500 | Zbl 0780.26011

[4] D. S. Mitrinović, J. E. Pečarić and A. M. Fink: **Inequalities Involving Functions and Their Integrals and Derivatives**. Kluwer Academic Publishers, Dordrecht, The Netherlands, 1991. MR 1190927