Some Boas-Bellman Type Inequalities in 2-Inner Product Spaces PDF Download
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Author: S.S. Dragomir
Publisher:
ISBN:
Category :
Languages : en
Pages : 14
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Book Description
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.
Author: S.S. Dragomir
Publisher:
ISBN:
Category :
Languages : en
Pages : 14
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Book Description
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.
Author: Sever Silvestru Dragomir
Publisher:
ISBN:
Category :
Languages : en
Pages : 261
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Book Description
The main aim of this monograph is to survey some recent results obtained by the author related to reverses of the Schwarz, triangle and Bessel inequalities. Some Grüss' type inequalities for orthonormal families of vectors in real or complex inner product spaces are presented as well. Generalizations of the Boas-Bellman, Bombieri, Selberg, Heilbronn and Pečarić inequalities for finite sequences of vectors that are not necessarily orthogonal are also provided. Two extensions of the celebrated Ostrowski's inequalities for sequences or real numbers and the generalization of Wagner's inequality in inner product spaces are pointed out. Finally, some Grüss type inequalities for n-tuples of vectors in inner product spaces and their natural applications for the approximation of the discrete Fourier and Mellin transforms are given as well.
Author: Sever Silvestru Dragomir
Publisher: Nova Publishers
ISBN: 9781594542022
Category : Mathematics
Languages : en
Pages : 266
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Book Description
The theory of Hilbert spaces plays a central role in contemporary mathematics with numerous applications for Linear Operators, Partial Differential Equations, in Nonlinear Analysis, Approximation Theory, Optimisation Theory, Numerical Analysis, Probability Theory, Statistics and other fields. The Schwarz, triangle, Bessel, Gram and most recently, Grüss type inequalities have been frequently used as powerful tools in obtaining bounds or estimating the errors for various approximation formulae occurring in the domains mentioned above. Therefore, any new advancement related to these fundamental facts will have a flow of important consequences in the mathematical fields where these inequalities have been used before.
Author: Sever Silvestru Dragomir
Publisher: Nova Publishers
ISBN: 9781594549038
Category : Mathematics
Languages : en
Pages : 260
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Book Description
Inequalities for hermitian forms -- Schwarz related inequalities -- Reverses for the triangle inequality -- Reverses for the continous triangle inequality -- Reverses of the cbs and heisenberg inequalities -- Other inequalities in inner product spaces
Author: Pietro Cerone
Publisher: CRC Press
ISBN: 1439848971
Category : Mathematics
Languages : en
Pages : 391
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Book Description
Drawing on the authors' research work from the last ten years, Mathematical Inequalities: A Perspective gives readers a different viewpoint of the field. It discusses the importance of various mathematical inequalities in contemporary mathematics and how these inequalities are used in different applications, such as scientific modeling.The authors
Author: S.S. Dragomir
Publisher:
ISBN:
Category :
Languages : en
Pages : 12
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Book Description
A reverse of Bessel's inequality in 2-inner product spaces and companions of Grüss inequality with applications for determinantal integral inequalities are given.
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 994
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Book Description
Author: R.W. Freese
Publisher:
ISBN:
Category :
Languages : en
Pages : 13
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Book Description
Some companions of Grüss inequality in 2-inner product spaces and applications for determinantal integral inequalities are given.
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 104
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Book Description
Author: P. Cerone
Publisher:
ISBN:
Category :
Languages : en
Pages : 14
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Book Description
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.
