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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...
New Ostrowski Type Inequalities Via Mean Value Theorems
Ostrowski type inequalities Mean value theorems Differentiable Integrable function identities Properties of modulus
2008/6/30
The main aim of the present note is to establish two new Ostrowski type inequalities by using the mean value theorems.
On an Upper Bound for the Deviations from the Mean Value
Arithmetic mean Square mean Cauchy-Schwarz-Buniakovski inequality Triangle inequality
2008/6/30
A completely elementary proof of a known upper bound for the deviations from the mean value is given. Related inequalities are also discussed. Applications to triangle inequalities provide characteriz...
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.
On Some New Mean Value Inequalities
Mean value inequality Hö lder's inequality Continuous positive function Extension
2008/6/27
In this paper, using the arithmetic-geometric mean inequality, we obtain some new mean value inequalities. Finally, some applications are given, they are extension of Hölder's inequalities.