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Hilbert's inequalities and their reverses

WebJun 29, 2024 · A more accurate half-discrete Hilbert-type inequality in the whole plane with multi-parameters is established by the use of Hermite–Hadamard’s inequality and weight … WebApr 27, 2024 · In 1934, a half-discrete Hilbert-type inequality was given as follows (cf. [ 1 ], Theorem 351): If K (t) ( t > 0) is a decreasing function, p > 1, \frac {1} {p} + \frac {1} {q} = 1, 0 < \phi (s) = \int _ {0}^ {\infty } K (t)t^ {s - 1}\,dt < \infty , a_ {n} \ge 0, 0 < \sum_ {n = 1}^ {\infty } a_ {n}^ {p} < \infty , then we have

Hilbert’s Problems: 23 and Math - Simons Foundation

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 ... WebOct 1, 2005 · Hilbert's inequalities and their reverses. In this paper, we make some further generalizations of well known Hilbert's inequality and its equivalent form in both integral … cratae-loges 450 mg preisvergleich https://onsitespecialengineering.com

On half-discrete Hilbert’s inequality - ScienceDirect

WebON AN EQUIVALENT PROPERTY OF A REVERSE HILBERT–TYPE INTEGRAL INEQUALITY RELATED TO THE EXTENDED HURWITZ–ZETA FUNCTION MICHAELTH.RASSIAS ANDBICHENGYANG ... [12] M. KRNIC´,J.E.PECARIˇ C´, Hilbert’s inequalities and their reverses, Publ. Math. Debrecen, 2005, 67(3-4), 315–331. WebApr 21, 2024 · On the basis of the obtained inequality, the equivalent conditions of the best possible constant factor associated with several parameters are discussed. Finally, we … WebMar 24, 2024 · Hilbert's Inequality -- from Wolfram MathWorld Calculus and Analysis Inequalities Hilbert's Inequality Given a positive sequence , (1) where the s are real and … mail assicurazioni generali

Hilbert problems - Encyclopedia of Mathematics

Category:Hilbert-Type and Hardy-Type Integral Inequalities in the Whole Plane

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Hilbert's inequalities and their reverses

On a reverse extended Hardy–Hilbert’s inequality Journal …

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 … 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.

Hilbert's inequalities and their reverses

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WebJan 1, 2008 · An extension of the Hilbert-type inequality and its reverse DOI: 10.7153/jmi-02-14 Authors: Bicheng Yang Guangdong University of Education Abstract By introducing some parameters and the weight... WebIn this paper, with the help of a Fenchel-Legendre transform, which is used in various problems involving symmetry, we generalized a number of Hilbert-type inequalities to a general time scale. Besides that, in order to obtain some new inequalities as special cases, we also extended our inequalities to discrete and continuous calculus.

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 … WebSome equivalent conditions of a reverse Hilbert-type integral inequality with the particular homogeneous kernel are deduced. We also consider some particular cases. Mathematics …

WebApr 17, 2009 · By introducing the function 1/(min{x, y}), we establish several new inequalities similar to Hilbert's type inequality. Moreover, some further unification of Hardy-Hilbert's and Hardy-Hilbert's type integral inequality and its equivalent form with the best constant factor are proved, which contain the classic Hilbert's inequality as special case. WebMay 6, 2024 · David Hilbert Credit: American Journal of Mathematics. At a conference in Paris in 1900, the German mathematician David Hilbert presented a list of unsolved …

WebInequalities; Hilbert's inequality; Holder's inequality; reverse inequalities; equivalent inequalities Sažetak In this paper, we make some further generalizations of well known …

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... crataegutt 450 200 stückWebHilbert'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 … mail assistenzahttp://files.ele-math.com/abstracts/jmi-13-23-abs.pdf crataegus spWebJul 18, 2024 · Published18 Jul 2024. Abstract. This study develops the study of reverse Hilbert-type inequalities on time scales where we can establish some new generalizations … mail assicurato pensionatoWebSemantic 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 … mail assistance googlehttp://files.ele-math.com/abstracts/jmi-08-18-abs.pdf mail assistenza agenzia entrateWebJul 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. crataegutt 450 mg test