WebThe main purpose of this paper is to prove the H?lder inequality for any arbitrary fuzzy measure-based Choquet integral whenever any two of these integrated functions f, g and h are comonotone, and there are three weights. ... Hardy, G.H., Littlewood, J.E. and Polya, G. (1952) Inequalities. 2nd Edition, Cambridge University Press, Cambridge. WebJun 17, 2007 · Hardy GH, Littlewood JE, Pólya G: Inequalities. 2nd edition. Cambridge University Press, Cambridge, UK; 1952:xii+324. ... On new strengthened Hardy-Hilbert's inequality. International Journal of Mathematics and Mathematical Sciences 1998,21(2):403–408. 10.1155/S0161171298000556.
Some General Inequalities for Choquet Integral - scirp.org
WebFeb 16, 2024 · The prolific output of G. H. Hardy included a number of inequalities, each known, in its own context, simply as ‘Hardy’s inequality’. Here we give an account of one of them, together with some applications and generalisations. It relates to … WebFeb 14, 2012 · This paper considers an extension of the following inequality given in the book Inequalitiesby Hardy, Littlewood and Polya; let fbe real-valued, twice differentiable on [0, ∞) and such that f and fare both in the space fn, ∞), then f′ is in L,2(0, ∞) and The extension consists in replacing f′ by M[f]where town with fashion museum
Inequalities (Cambridge Mathematical Library): Hardy, G.
WebNov 13, 2007 · We build a multiple Hilbert-type integral inequality with the symmetric kernel and involving an integral operator. For this objective, we introduce a norm, two pairs of conjugate exponents and, and two parameters. As applications, the equivalent form, the reverse forms, and some particular inequalities are given. WebInequalities, by G.H. Hardy, J.E. Littlewood, and G. Polya Instantiates. Inequalities; Publication. Cambridge, UK, Cambridge University Press, 1988; Antecedent source … WebHardy's inequality is an inequality in mathematics, named after G. H. Hardy.It states that if ,,, … is a sequence of non-negative real numbers, then for every real number p > 1 one has = (+ + +) =. If the right-hand side is finite, equality holds if and only if = for all n.. An integral version of Hardy's inequality states the following: if f is a measurable function … town with dolls