WebAbstract. The Hardy-Littlewood-Po´lya inequality of majorization is extended for the ω-m-star-convex functions to the framework of ordered Banach spaces. Several open … 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:
Hardy Little Wood Polya - Inequalities PDF - Scribd
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, … WebJan 1, 2024 · The Hardy-Littlewood-Polya inequality of majorization is extended for the {\omega}-m-star-convex functions to the framework of ordered Banach spaces. Several open problems which seem of interest ... british open 2022 radio
Inequalities of Hardy-Littlewood-Polya type for functions of …
WebNov 3, 2016 · By G. H. Hardy, J. E. Littlewood and G. Pólya. Pp. xii, 314. 16s. 1934. (Cambridge) - Volume 18 Issue 231. Skip to main content Accessibility help We use cookies to distinguish you from other users and to provide you with a … 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 … 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 cape neddick light images