Hilbert's inequalities and their reverses
Web1: Recent Developments of Hilbert-Type Inequalities with Applications. 2: Improvements of the Euler-Maclaurin Summation Formula and Applications. 3: A Half-Discrete Hilbert-Type Inequality with a General Homogeneous Kernel. 4: A Half-Discrete Hilbert-Type Inequality with a Non-Homogeneous Kernel. WebOct 1, 2015 · The Hilbert-type inequalities are a more wide class of analysis inequalities which are with the bilinear kernels, including Hardy-Hilbert's inequality as the particular case. These...
Hilbert's inequalities and their reverses
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WebHilbert's problems are a set of (originally) unsolved problems in mathematics proposed by Hilbert. Of the 23 total appearing in the printed address, ten were actually presented at the …
WebJul 3, 2012 · By using the way of weight functions and the technique of real analysis, a half-discrete Hilbert-type inequality with a general nonhomogeneous kernel and two interval variables, as well as a best constant factor is given. The equivalent forms, the operator expressions, the reverses and some particular examples are considered. WebInequalities; Hilbert's inequality; Holder's inequality; reverse inequalities; equivalent inequalities Sažetak In this paper, we make some further generalizations of well known …
WebDec 1, 2013 · Using the method of weight functions and techniques of discrete and integral Hilbert-type inequalities with some additional conditions on the kernel, the following half-discrete Hilbert-type inequality with a general homogeneous kernel of degree -λ ∈ R and the best constant factor k λ 1 is obtained ∫ 0 ∞ f (x) ∑ n = 1 ∞ k λ (x, n ... http://files.ele-math.com/abstracts/jmi-08-18-abs.pdf
WebMar 12, 2024 · Similar work about Hilbert-type integral inequalities is in [22–26]. In this paper, following the way of [2, 21], by the use of the weight coefficients, the idea of …
Webwe present the C-S inequality for inner product spaces. Focusing on operator inequalities, we then review some signi cant recent developments of the C-S inequality and its reverses for Hilbert space operators and elements of Hilbert C -modules. In particular, we pay special attention to an operator Wielandt inequality. 1. Introduction church in mysoreWeb一个逆向Hilbert型不等式的最佳推广[J].武汉大学学报:理学版,2008,54(3):275-278. WANG Aizhen, YANG Bicheng. A best generalization of reverse Hilbert-type inequality[J]. J Wuhan Univ: Natural Science Edition, 2008,54(3):275-278. Keywords: Hilbert-type intergral inequality; weight function; equivalent form; Hölder’s inequality devsearchWebSemantic Scholar extracted view of "An Inequality Related to One of Hilbert's" by D. Widder. ... Milman reverse, Hilbert, Widder, Fan-Taussky-Todd, Landau, ... which can be … dev/sdb is write-protected mounting read-onlyWebNov 4, 2024 · A multidimensional half-discrete Hilbert-type inequality and the Riemann zeta function. Appl. Math. Comput. 225, 263–277 (2013) MathSciNet MATH Google Scholar … /dev/sda5 is mounted will not make swapspaceWebWe obtain a generalized discrete Hilbert and Hardy-Hilbert inequality with non-conjugate parameters by means of an Euler-Maclaurin summation formula. We derive some general results for homogeneous functions and compare our findings with existing results. We improve some earlier results and apply the results to some special homogeneous functions. devsearch themeWebSep 1, 2013 · Hilbert’s inequalities and their reverses. Publicationes Mathematicae Debrecen (2005) B.C. Yang et al. On a best value of Hardy–Hilbert’s inequality. Advances in Mathematics (1997) M.Z. Gao et al. On the extended Hilbert’s inequality. Proceedings of the American Mathematical Society church in nashikWebDec 15, 2024 · This paper is interested in establishing some new reverse Hilbert-type inequalities, by using chain rule on time scales, reverse Jensen’s, and reverse Hölder’s … devsecop rapid7 crunches divvycloud for $ 145