Web收稿日期: 2024-05-04 出版日期: 2024-04-04 2024, Vol. 52(2): 331-338 DOI: 10.11845/sxjz.2024083b WebThe Hardy-Littlewood-Po´lya theorem of majorization is an important result in convex analysis that lies at the core of majorization theory, a subject that attracted a great deal …
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In mathematical analysis, the Hardy–Littlewood inequality, named after G. H. Hardy and John Edensor Littlewood, states that if $${\displaystyle f}$$ and $${\displaystyle g}$$ are nonnegative measurable real functions vanishing at infinity that are defined on $${\displaystyle n}$$-dimensional … See more The layer cake representation allows us to write the general functions $${\displaystyle f}$$ and $${\displaystyle g}$$ in the form $${\displaystyle f(x)=\int _{0}^{\infty }\chi _{f(x)>r}\,dr\quad }$$ and where See more • Rearrangement inequality • Chebyshev's sum inequality • Lorentz space See more WebHardy–Littlewood maximal inequality [ edit] This theorem of G. H. Hardy and J. E. Littlewood states that M is bounded as a sublinear operator from the Lp ( Rd) to itself for …
WebApr 13, 2024 · The Hardy-Littlewood-Pólya inequality of majorization is extended to the framework of ordered Banach spaces. Several applications illustrating our main results are also included. Comments: 18 pages. Subjects: Functional Analysis (math.FA) MSC classes: 26B25, 26D10, 46B40, 47B60, 47H07. Cite as: WebWe also present refinements of some Hardy–Littlewood–Pólya In this paper, first we present some interesting identities associated with Green’s functions and Fink’s identity, …
WebOct 13, 2012 · Abstract. In this paper we get the sharp estimates of the p -adic Hardy and Hardy-Littlewood-Pólya operators on L q ( x α p dx ). Also, we prove that the commutators generated by the p -adic Hardy operators (Hardy-Littlewood-Pólya operators) and the central BMO functions are bounded on L q ( x α p dx ), more generally, on … WebJan 1, 2024 · The following inequality is given in the renowned Hardy-Littlewood-Pólya book (see [4, Theorem 134]): Theorem 1.1. If f is a convex and continuous function defined on [ 0 , ∞ ) and a i , i ∈ ...
WebGiả thuyết Polignac. Trong lý thuyết số, Giả thuyết Polignac được đề xuất bởi Alphonse de Polignac trong 1849 và được phát biểu như sau: [1] Cho bất kỳ số chẵn n, có vô số khoảng cách số nguyên tố kích thước n. Nói cách khác: có vô số cặp số nguyên tố có khoảng cách ...
WebFeb 26, 1988 · A well written, classic text written by three larger than life math legends (Hardy, Littlewood, Polya). This is the definitive and … finco construction coWebJul 20, 2024 · Research Article Sharp Bounds for Generalized m-Linear n-Dimensional p-Adic Hardy-Littlewood-Pólya Operator Xiang Li,1 Xiran Zhang,1 and Qianjun He 2 1School of Science, Shandong Jianzhu University, Jinan 250000, China 2School of Applied Science, Beijing Information Science and Technology University, Beijing 100192, China … f in cnc codeWebMar 29, 2016 · One of the fundamental mathematical results in inequality measurement, due to Hardy, Littlwood, and Pólya (1929), states that a necessary and sufficient condition for a vector \(y\in {\mathbb {R}}^n_+\) to majorize another vector \(x\in {\mathbb {R}}^n_+\) is the existence of a doubly stochastic matrix Q such that \(x=y^{\scriptscriptstyle T} Q\). ... f inclusion\u0027sWebFeb 26, 1988 · This classic of the mathematical literature forms a comprehensive study of the inequalities used throughout mathematics. … finco cooperative bankWebJul 1, 1980 · A THEOREM BY HARDY, LITTLEWOOD, AND PYA 223 and the definition of appropriate information theoretical concepts led to an order relation of a similar type, which applies to classes in the set of pairs of non- negative vectors or functions. The valuable context with bistochastic matrices according to (1), by analogy suggests a corresponding ... gtant seafood festival entrWebJul 17, 2024 · The Hardy-Littlewood-Polya inequality of majorization is extended for the ω-m-star-convex functions to the framework of ordered Banach spaces. Several open … gta objects xyzWebG. H. Hardy, J. E. Littlewood, G. Pólya. Cambridge University Press, Jan 3, 1952 - Mathematics - 336 pages. 0 Reviews. Reviews aren't verified, but Google checks for and … finclub b12