Web(Takeaki Yamazaki, Zentralblatt MATH, Vol. 1242, 2012), From the reviews:The aim of this monograph is to introduce several extensions of classical inequalities to inequalities of bounded linear operators on a complex Hilbert space. … This monograph gives a good introduction into basic results in operator theory, and is suitable for ... WebBy introducing three parameters A, B and α, and estimating the weight coefficient, we give a new extension of Hilbert's inequality with a best constant factor involving the β function. …
On the extended Hardy–Hilbert
WebAug 1, 2002 · In this paper, by introducing three parameters A, B, and λ, and estimating the weight coefficient, we give a generalization of the extended Hardy–Hilbert's inequality … WebSummaryBy introducing some parameters and estimating the weight coefficient, we give a new extension of Hilbert’s inequality with a best constant factor, which involves the β function. As its applications, we consider the equivalent form and some particular results. cottage cheese jello pineapple salad
An extension of the Hilbert-type inequality and its reverse
WebDOI: 10.1007/S10474-007-6135-1 Corpus ID: 120466765; New extensions of Hilbert’s inequality with multiple parameters @article{Chen2007NewEO, title={New extensions of Hilbert’s inequality with multiple parameters}, author={Z. Q. Chen and J. S. Xu}, journal={Acta Mathematica Hungarica}, year={2007}, volume={117}, pages={383-400} } In 1973, Montgomery & Vaughan reported several generalizations of Hilbert's inequality, considering the bilinear forms and where x1,x2,...,xm are distinct real numbers modulo 1 (i.e. they belong to distinct classes in the quotient group R/Z) and λ1,...,λm are distinct real numbers. Montgomery & Vaughan's generaliz… WebIn 1925, G. H. Hardy gave a best extension of it by introducing one pair of conjugate exponents (p, q), named in Hardy-Hilbert's inequality. The Hilbert-type inequalities are … cottage cheese kuchen recipes