Some New Results Related to Bessel and Grss Inequalities for Orthogonal Families in 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 new counterparts of Bessel's inequality for orthornormal families in real or complex inner product spaces are pointed out. Applications for some Grss type inequalities are also empahsized.
Author: S.S. Dragomir
Publisher:
ISBN:
Category :
Languages : en
Pages : 14
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Book Description
Some new counterparts of Bessel's inequality for orthornormal families in real or complex inner product spaces are pointed out. Applications for some Grss type inequalities are also empahsized.
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: 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: 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: Y.J. Cho
Publisher:
ISBN:
Category :
Languages : en
Pages : 16
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Book Description
Some results related to the Pečarić's type generalisation of Bessel's inequality in 2-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: Wang Gong-bao
Publisher:
ISBN:
Category :
Languages : en
Pages : 5
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Book Description
Some new reverses of the Cauchy-Schwarz inequality in inner product spaces are presented in this paper. As an application of the main result, a formula for error estimate concerning Cauchy-Schwarz's inequality is provided. The results obtained here complement the recent work of the references.
Author: Sever Silvestru Dragomir
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 252
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Book Description
The Cauchy-Bunyakovsky-Schwarz inequality, or for short, the CBS inequality, plays an important role in different branches of Modern Mathematics including Hilbert Spaces Theory, Probability and Statistics, Classical Real and Complex Analysis, Numerical Analysis, Qualitative Theory of Differential Equations and their applications. The main purpose of this book, that is mainly based on a survey paper written by the author in the Journal of Inequalities in Pure and Applied Mathematics is to identify and highlight the discrete inequalities that are connected with the CBS inequality. Provided are refinements, counterparts and reverse results as well as the study of some functional properties of certain mappings that can be naturally associated with this inequality such as superadditivity, supermultiplicity, the strong versions of these and the corresponding monotonicity properties. Many companions and related results both for real and complex numbers are also presented. It was one of the main aims of the book to provide complete proofs for the results considered.
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: 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.
