Advances in Inequalities of the Schwarz, Grüss and Bessel Type in Inner Product Spaces PDF Download
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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:
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: S.S. Dragomir
Publisher:
ISBN:
Category :
Languages : en
Pages : 14
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Book Description
Some new reverses of Bessel's inequality for orthonormal families in real or complex inner product spaces are pointed out. Applications for some Grüss type inequalities and for determinantal integral inequalities 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 : 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 : 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: S.S. Dragomir
Publisher:
ISBN:
Category :
Languages : en
Pages : 9
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Book Description
New results related to the Boas-Bellman generalisation of Bessel's inequality in inner product spaces are given.
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: Dragoslav S. Mitrinovic
Publisher: Springer Science & Business Media
ISBN: 9401710430
Category : Mathematics
Languages : en
Pages : 739
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Book Description
This volume presents a comprehensive compendium of classical and new inequalities as well as some recent extensions to well-known ones. Variations of inequalities ascribed to Abel, Jensen, Cauchy, Chebyshev, Hölder, Minkowski, Stefferson, Gram, Fejér, Jackson, Hardy, Littlewood, Po'lya, Schwarz, Hadamard and a host of others can be found in this volume. The more than 1200 cited references include many from the last ten years which appear in a book for the first time. The 30 chapters are all devoted to inequalities associated with a given classical inequality, or give methods for the derivation of new inequalities. Anyone interested in equalities, from student to professional, will find their favorite inequality and much more.
