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An Inequality of Ostrowski Type via Pompeiu's Mean Value Theorem
Ostrowski's inequality Pompeiu mean value theorem quadrature rules Special means
2008/7/2
An inequality providing some bounds for the integral mean via Pompeiu's mean value theorem and applications for quadrature rules and special means are given.
Generalizations of the Trapezoid Inequalities Based on a New Mean Value Theorem for the Remainder in Taylor's Formula
Classical trapezoid inequality Perturbed trapezoid inequality Mean value theorem Generalizations
2008/7/1
Generalizations of the classical and perturbed trapezoid inequalities are developed using a new mean value theorem for the remainder in Taylor's formula. The resulting inequalities for N-times differe...
On Grüss Like Integral Inequalities via Pompeiu's Mean Value Theorem
Grüss like integral inequalities Pompeiu's mean value theorem Lagrange's mean value theorem Differentiable Properties of modulus
2008/6/30
In the present note we establish two new integral inequalities similar to that of the Grüss integral inequality via Pompeiu's mean value theorem.