A Grüss Type Discrete Inequality in Inner Product Spaces and Applications
✍ Scribed by S.S. Dragomir
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 123 KB
- Volume
- 250
- Category
- Article
- ISSN
- 0022-247X
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✦ Synopsis
Fourier transform, Mellin transform of sequences, polynomials with coefficients in Hilbert spaces, and Lipschitzian vector valued mappings are given. ᮊ 2000 Aca- demic Press
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## Abstract Let __d__μ(__x__) = (1 − __x__^2^)^α−1/2^__dx__,α> − 1/2, be the Gegenbauer measure on the interval [ − 1, 1] and introduce the non‐discrete Sobolev inner product where λ>0. In this paper we will prove a Cohen type inequality for Fourier expansions in terms of the polynomials orthogona
A number of writers have defined a concept of angle in a normed linear space or metric space by means of the law of cosines, and have studied the properties of these angles obtaining, in some cases, characterizations of real inner product spaces. (For a summary of earlier results see MARTIN and VAL