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About Advances in Inequalities of the Schwarz, Grüss and Bessel Type in Inner Product Spaces
Abstract. The main aim of this monograph is to survey some<br /><br /> recent results obtained by the author related to reverses of the<br /><br /> Schwarz, triangle and Bessel inequalities. Some Grüss’ type in-<br /><br /> equalities for orthonormal families of vectors in real or complex<br /><br /> inner product spaces are presented as well. Generalizations of the<br /><br /> Boas-Bellman, Bombieri, Selberg, Heilbronn and Peˇ cari´ c inequali-<br /><br /> ties for finite sequences of vectors that are not necessarily orthogo-<br /><br /> nal are also provided. Two extensions of the celebrated Ostrowski’s<br /><br /> inequalities for sequences or real numbers and the generalization<br /><br /> of Wagner’s inequality in inner product spaces are pointed out. Fi-<br /><br /> nally, some Grüss type inequalities for n-tuples of vectors in inner<br /><br /> product spaces and their natural applications for the approxima-<br /><br /> tion of the discrete Fourier and Mellin transforms are given as well.
Detailed Information
| Author: | Sever Silvestru Dragomir |
|---|---|
| Publication Year: | 2000 |
| Pages: | 257 |
| Language: | other |
| File Size: | 1.3991 |
| Format: | |
| Price: | FREE |
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