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Some inequalities for the Čebyšev functional and Euler two-point formulae

We use inequalities for the \v{;C};eby\v{;s};ev functional in terms of the first derivative (see P. Cerone and S. S. Dragomir, Some new bounds for the Čebyšev functional in terms of the first derivative and applications, J. Math. Ineq. 8(1) (2014), 159-170.), for some new bounds for the remainder of general Euler two-point formula and its generalization for Bullen type formula.

Čebyšev functional; general Euler two-point formula; Bulen type formula; Euler trapezoid formula; Euler midpoint formula; Euler two-point Newton-Cotes formula; Euler two-point Maclaurin formula; Euler bitrapezoid formula.

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