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Related papers: Some Gruss Type Inequalities in Inner Product Spac…

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Some companions of Gruss inequality in inner product spaces and applications for integrals are given.

Classical Analysis and ODEs · Mathematics 2007-05-23 Sever Silvestru Dragomir

Reverses of Schwarz, triangle and Bessel inequalities in inner product spaces that improve some earlier results are pointed out. They are applied to obtain new Gruss type inequalities in inner product spaces. Some natural applications for…

Functional Analysis · Mathematics 2007-05-23 Sever Silvestru Dragomir

New reverses of the Schwarz, triangle and Bessel inequalities in inner product spaces are pointed out. These results complement the recent ones obtained by the author in an earlier paper. Further, they are employed to establish new Gruss…

Functional Analysis · Mathematics 2007-05-23 Sever Silvestru Dragomir

Some sharp inequalities of Gruss type for sequences of vectors in real or complex inner product spaces are obtained. Applications for Jensen's inequality for convex functions defined on such spaces are also provided.

Classical Analysis and ODEs · Mathematics 2025-10-20 Sever Silvestru Dragomir

Some new counterparts of Bessel's inequality for orthornormal families in real or complex inner product spaces are pointed out. Applications for some Gruss type inequalities are also empahsized.

Classical Analysis and ODEs · Mathematics 2007-05-23 Sever Silvestru Dragomir

A new counterpart of Bessel's inequality for orthornormal families in real or complex inner product spaces is obtained. Applications for some Gruss type results are also provided.

Classical Analysis and ODEs · Mathematics 2009-09-29 Sever Silvestru Dragomir

Sharp inequalitieis of Gruss type for Stieltjes integrals with application in numerical integration are provided.

Classical Analysis and ODEs · Mathematics 2025-10-20 Sever Silvestru Dragomir

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.

Classical Analysis and ODEs · Mathematics 2007-05-23 Sever Silvestru Dragomir

Some new reverses for the generalised triangle inequality in inner product spaces and applications are given. Applications in connection to the Schwarz inequality are provided as well.

Functional Analysis · Mathematics 2007-05-23 Sever Silvestru Dragomir

Some Gruss type inequalities in semi-inner product modules over C*-algebras for n-tuples of vectors are established. Also we give their natu- ral applications for the approximation of the discrete Fourier and the Melin transforms of bounded…

Operator Algebras · Mathematics 2015-06-09 A. G. Ghazanfari , S. Soleimani

Some inequalities in 2-inner product spaces generalizing Bessel's result that are similar to the Boas-Bellman inequality from inner product spaces, are given. Applications for determinantal integral inequalities are also provided.

Functional Analysis · Mathematics 2007-05-23 S. S. Dragomir , Y. J. Cho , S. S. Kim , A. Sofo

Some new reverses of the Cauchy-Schwarz inequality in inner product spaces are presented in this paper.The results obtained here complement the recent work of the references.

Functional Analysis · Mathematics 2007-05-23 Gong-bao Wamg , Ji-pu Ma

A new counterpart of Schwarz's inequality in inner product spaces and applications for isotonic functionals, integrals and sequences are provided.

Classical Analysis and ODEs · Mathematics 2007-05-23 Sever Silvestru Dragomir

A generalisation of inner product spaces of an inequality due to Ostrowski and applications for sequences and integrals are given.

Classical Analysis and ODEs · Mathematics 2007-05-23 Sever S. Dragomir , Anca C. Gosa

The purpose of this survey is to give a comprehensive introduction to some classes of classical and recent analytic inequalities in Inner Product Spaces.

Functional Analysis · Mathematics 2007-05-23 Sever Silvestru Dragomir

Companion results to the Bombieri generalisation of Bessel's inequality in inner product spaces are given.

Classical Analysis and ODEs · Mathematics 2007-05-23 Sever Silvestru Dragomir

New results related to the Boas-Bellman generalisation of Bessel's inequality in inner product spaces are given.

Classical Analysis and ODEs · Mathematics 2007-05-23 Sever Silvestru Dragomir

Refinements of some recent reverse inequalities for the celebrated Cauchy-Bunyakovsky-Schwarz inequality in 2-inner product spaces are given. Using this framework, applications for determinantal integral inequalities are also provided.

Functional Analysis · Mathematics 2007-05-23 P. Cerone , Y. J. Cho , S. S. Dragomir , S. S. Kim

In this paper we obtain some new Schwarz related inequalities in inner product spaces over the real or complex number field. Applications for the generalized triangle inequality are also given.

Metric Geometry · Mathematics 2007-05-23 Sever Silvestru Dragomir

Some sharp Bessel type inequalities for non-orthonormal families of vectors in inner product spaces are given. Applications for complex numbers are also provided.

Functional Analysis · Mathematics 2007-05-23 Sever Silvestru Dragomir
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