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Harmonic polynomials and generalizations of Ostrowski-Grüss type inequality and Taylor formula

Some generalizations of Ostrowski-Gr\" uss type inequality and Taylor formula are given, by using harmonic sequences of polynomials. We use inequalities for the Čebyšev functional in terms of the first derivative, for some new bounds for the remainders.

Čebyšev functional; harmonic polynomials; Ostrowski-Gr\

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