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Convolution Operators with Homogeneous Singular Measures on $R^{3}$ of Polynomial Type. The Remainder Case
Convolution operators Singular measures
2008/7/2
Convolution Operators with Homogeneous Singular Measures on $R^{3}$ of Polynomial Type. The Remainder Case.
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...
Note On Inequalities Involving Integral Taylor's Remainder
Taylor's remainder Leibniz formula Variant of Grüss inequality Taylor's formula Steffensen inequality
2008/6/27
In this paper, some inequalities involving the integral Taylor's remainder are obtained by using various well-known methods.
Some Estimations for the Integral Taylor's Remainder
Taylor's remainder Leibnitz's formula Pre-Grüss inequality
2008/6/27
In this paper, using Leibnitz's formula and pre-Grüss inequality we prove some inequalities involving Taylor's remainder.
Some Integral Inequalities Involving Taylor's Remainder. I
Taylor's remainder Steffensen's inequality Iyengar's inequality Hermite-Hadamard's inequality
2008/6/26
In this paper, using Steffensen's inequality we prove several inequalities involving Taylor's remainder. Among the simplest particular cases we obtain Iyengar's inequality and one of Hermite-Hadamard'...
Some Integral Inequalities Involving Taylor's Remainder. II
Taylor's remainder Grüss' inequality Chebyshev's inequality
2008/6/26
In this paper, using Grüss' and Chebyshev's inequalities we prove several inequalities involving Taylor's remainder.