Webthe Hardy-Littlewood-Polya theore its extensionms an is onld y incidenta tol his main purpose, which is to use these results to show how certain inequalities concerning eigenvalues and singular values o sumf s and products of completely continuous opera-tors in Hilbert space are equivalen to somt e geometrical results (on convex hulls) WebAug 1, 1991 · Abstract. This article is concerned with a generalization of the well-known Hardy-Littlewood-Polya (HLP) inequality to higher dimensions n ⩾ 2. We also show via construction of a counterexample that for certain exponents and consequently in some spaces such extension is impossible. JOURNAL OF APPROXIMATION THEORY 66, …
Inequalities. By G. H. Hardy, J. E. Littlewood and G. Pólya. Pp. xii ...
WebFeb 11, 2024 · The Hardy–Littlewood–Pólya theorem of majorization is an important result in convex analysis that lies at the core of majorization theory, a subject that has attracted … WebAug 1, 2012 · In this paper, the Hardy–Littlewood–Pólya theorem on majorization is extended from convex functions to invex ones. Some variants for pseudo-invex and quasi-invex functions are also considered. The framework used is that of similarly separable vectors. The results obtained are illustrated for monotonic, monotonic in mean, and star … txn800w
THE HARDY-LITTLEWOOD-POLYA INEQUALITY OF´ …
WebNov 20, 2024 · Weak spectral order of Hardy, Littlewood and Pólya. Journal of Mathematical Analysis and Applications, Vol. 108, Issue. 1, p. 31. WebThe sharp estimates of the m-linear p-adic Hardy and Hardy-Littlewood-Polya operators on Lebesgue spaces with power weights are obtained in this paper. 展开 机译: 本文获 … WebNov 1, 2011 · The Hardy-Littlewood-Pólya (HLP) inequality [1] states that if a ∈ lp, b ∈ lq and p > 1, q > 1 1 p + 1 q > 1, λ = 2 − ( 1 p + 1 q), then ∑ r ≠ s a r b s r − s λ ≤ C ∥ a ∥ … txn2670whf