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Constantin Bu\c{s}e,Pietro Cerone,Sever Silvestru Dragomir,John Roumeliotis 대한수학회 2006 대한수학회지 Vol.43 No.5
A refinement of Gr"{u}ss type inequality for the Bochner integral ofvector-valued functions in real or complex Hilbert spaces is given. Relatedresults are obtained. Application for finite Fourier transforms ofvector-valued functions and some particular inequalities are provided.
A counterpart of Bessel’s inequality in inner product spaces and some gr\"uss type related results
Sever S. Dragomir 대한수학회 2006 대한수학회보 Vol.43 No.1
A counterpart of the famous Bessel's inequality for orthornormal families in real or complex inner product spaces is given. Applications for some Gr\"{u}ss type inequalities are also provided.
Dragomir, Sever S. The Youngnam Mathematical Society Korea 2006 East Asian mathematical journal Vol.22 No.1
Some additive reverses of the continuous triangle inequality for Bochner integral of vector-valued functions in Banach spaces are given. Applications for complex-valued functions are considered as well.
A COUNTERPART OF BESSEL'S INEQUALITY IN INNER PRODUCT SPACES AND SOME GRUSS TYPE RELATED RESULTS
Dragomir Sever S. Korean Mathematical Society 2006 대한수학회보 Vol.43 No.1
A counterpart of the famous Bessel's inequality for orthornormal families in real or complex inner product spaces is given. Applications for some Gruss type inequalities are also provided.
SOME INEQUALITIES FOR THE FINITE HILBERT TRANSFORM OF A PRODUCT
Dragomir, Sever-S. Korean Mathematical Society 2003 대한수학회논문집 Vol.18 No.1
Some inequalities for the Hilbert transform of the product of two functions are given.
On some integral inequalities with iterated integrals
조열제,Sever S. Dragomir,김영호 대한수학회 2006 대한수학회지 Vol.43 No.3
The main aim ofthe present paper is to establish some new Gronwall typeinequalities involving iterated integrals and give some
Ostrowski type inequality for absolutely continuous functions on segments in linear spaces
Eder Kikianty,Sever S. Dragomir,Pietro Cerone 대한수학회 2008 대한수학회보 Vol.45 No.4
An Ostrowski type inequality is developed for estimating the deviation of the integral mean of an absolutely continuous function, and the linear combination of its values at k + 1 partition points, on a segment of (real) linear spaces. Several particular cases are provided which recapture some earlier results, along with the results for trapezoidal type inequalities and the classical Ostrowski inequality. Some inequalities are obtained by applying these results for semi-inner products; and some of these inequalities are proven to be sharp An Ostrowski type inequality is developed for estimating the deviation of the integral mean of an absolutely continuous function, and the linear combination of its values at k + 1 partition points, on a segment of (real) linear spaces. Several particular cases are provided which recapture some earlier results, along with the results for trapezoidal type inequalities and the classical Ostrowski inequality. Some inequalities are obtained by applying these results for semi-inner products; and some of these inequalities are proven to be sharp
OSTROWSKI TYPE INEQUALITY FOR ABSOLUTELY CONTINUOUS FUNCTIONS ON SEGMENTS IN LINEAR SPACES
Kikianty, Eder,Dragomir, Sever S.,Cerone, Pietro Korean Mathematical Society 2008 대한수학회보 Vol.45 No.4
An Ostrowski type inequality is developed for estimating the deviation of the integral mean of an absolutely continuous function, and the linear combination of its values at k + 1 partition points, on a segment of (real) linear spaces. Several particular cases are provided which recapture some earlier results, along with the results for trapezoidal type inequalities and the classical Ostrowski inequality. Some inequalities are obtained by applying these results for semi-inner products; and some of these inequalities are proven to be sharp.
ON SOME INTEGRAL INEQUALITIES WITH ITERATED INTEGRALS
Cho, Yeol-Je,Dragomir Sever-S.,Kim, Young-Ho Korean Mathematical Society 2006 대한수학회지 Vol.43 No.3
The main aim of the present paper is to establish some new Gronwall type inequalities involving iterated integrals and give some applications of the main results.