• Bulletin of the Korean Mathematical Society
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• v.43 no.1
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• pp.27-41
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• 2006

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.

• Journal of the Korean Mathematical Society
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• v.38 no.6
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• pp.1261-1273
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• 2001

In this paper we prove a version of Gruss integral inequality for mappings with values in Hilbert spaces. Some applications for convex functions defined on Hibert space are also given.

• Journal of applied mathematics & informatics
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• v.16 no.1_2
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• pp.151-163
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• 2004

In this paper, we improve several inequalities involving Tay-lor's remainder by using some variants of Gruss inequality.

• Bulletin of the Korean Mathematical Society
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• v.42 no.3
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• pp.591-608
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• 2005

Some new reverses of Bessel's inequality for orthonormal families in real or complex 2-inner product spaces are pointed out. Applications for some Gruss type inequalities and for determinantal integral inequalities are given as well.

• Bulletin of the Korean Mathematical Society
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• v.45 no.3
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• pp.477-483
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• 2008

In this paper, by introducing parameter r>1, new weighted Ostrowski-Gruss-Cebysev type inequalities for 1/p+11/q=1-1/r are established.

• Bulletin of the Korean Mathematical Society
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• v.42 no.4
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• pp.725-738
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• 2005

A reverse of the Cauchy-Bunyakovsky-Schwarz integral inequality for complex-valued functions and applications for the finite Fourier transform are given.

• Journal of applied mathematics & informatics
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• v.20 no.1_2
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• pp.279-292
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• 2006

A reverse of Bessel's inequality in 2-inner product spaces and companions of $Gr\ddot{u}ss$ inequality with applications for determinantal integral inequalities are given.

• Communications of the Korean Mathematical Society
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• v.20 no.3
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• pp.487-503
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• 2005

Some companions of Gruss inequality in 2-inner product spaces and applications for determinantal integral inequalities are given.

• East Asian mathematical journal
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• v.19 no.1
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• pp.27-39
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• 2003

Integral inequalities of Gruss type obtained via $P\acute{o}lya-Szeg\ddot{o}$ and Shisha-Mond results are given. Some applications for Taylor's generalized expansion are also provided.

• Journal of the Korean Mathematical Society
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• v.41 no.2
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• pp.249-264
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• 2004

In this paper, some new estimates of the Cebysev functional for Stieltjes integrals are provided. Applications for quadrature formulae in approximating the Riemann-Stieltjes integral are also given.