[PDF] Top 20 Sharp inequalities related to the constant e
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Sharp inequalities related to the constant e
... Correspondence: [email protected] 1 College of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo, 454003, China Full list of author information is available at the end of t[r] ... See full document
7
Inequalities and asymptotic expansions related to the generalized Somos quadratic recurrence constant
... Remark 2.1 Using the methods from [20–22] it is possible to get estimations (based on the power series expansions) of the logarithm function that can be used, for example, in the analysis of parameterized ... See full document
15
Some sharp integral inequalities involving partial derivatives
... applications, inequalities due to Agarwal, Opial, Pachpatte, Wirtinger, Poincaréand et ...of inequalities involving 2n independent ...these inequalities which lead to result sharp than those ... See full document
8
Sharp Oracle Inequalities for Square Root Regularization
... If we choose λ of the same order as λ m (i.e. aλ = λ m , with a > 0 a constant), then we can simplify the oracle inequalities. This is comparable to the oracle inequalities for the LASSO, see for ... See full document
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Poincaré inequalities and the sharp maximal inequalities with Lφ norms for differential forms
... Theorem . Suppose that the smooth differential form u is a k-quasiminimizer for the functional (), and ϕ is a Young function satisfying () with q(n – p) < np, < p ≤ q < ∞, G is a Green’s operator. Then, ... See full document
11
Some sharp continued fraction inequalities for the Euler Mascheroni constant
... It is also known as the Euler-Mascheroni constant. There are many famous unsolved prob- lems about the nature of this constant (see e.g. Dence and Dence [], Havil [] and Lagarias []). For example, it is ... See full document
9
Sharp Wilker type inequalities with applications
... As an application of inequality (.), an open problem was proposed, answered and im- proved by Sándor and Bencze in []. Recently, inequality (.) and its related inequalities in [] were extended to ... See full document
17
Sharp inequalities for tangent function with applications
... type inequalities concerning the tangent function, but they also showed some more precise estimations to the Sine integral and the Catalan ...the sharp lower bound of tant t is superior to all given results ... See full document
17
Inequalities and boundedness for commutators related to integral operator with general kernel
... It is well known that commutators are of great interest in harmonic analysis and have been widely studied by many authors (see [, ]). In [], Pérez and Trujillo-Gonzalez prove a sharp estimate for the ... See full document
15
Sharp maximal function inequalities and boundedness for commutators related to generalized fractional singular integral operators
... It is well known that commutators are of great interest in harmonic analysis, and they have been widely studied by many authors (see [, ]). In [], Pérez and Trujillo-Gonzalez prove a sharp estimate for the ... See full document
13
Sharp Integral Inequalities Involving High Order Partial Derivatives
... applications, inequalities due to Agarwal, Opial, Pachpatte, Wirtinger, Poincar´e and et ...of inequalities involving higher-order partial ...these inequalities which lead to result sharper ... See full document
10
Padé approximant related to inequalities involving the constant e and a generalized Carleman type inequality
... 2. Hardy, GH: Notes on some points in the integral calculus. Messenger Math. 54, 150-156 (1925) 3. Hardy, GH, Littlewood, JE, Pólya, G: Inequalities, 2nd edn. Cambridge University Press, Cambridge (1952) 4. ... See full document
12
Sparsity Regret Bounds for Individual Sequences in Online Linear Regression
... A key message about sparsity is that, although high-dimensional statistical inference is impossi- ble in general (i.e., without further assumptions), it becomes statistically feasible if among the many unknown ... See full document
41
Hardy type inequalities in \(L^{p}\) with sharp remainders
... The subsequent sections are organized as follows. Proposition will be proved in Sec- tion . Section is devoted to the verification of Theorem . The proof of Theorem is given in Section . There is a large ... See full document
7
An accurate approximation formula for gamma function
... More results involving the approximation formulas for the factorial or gamma function can be found in [16, 18–27] and the references cited therein. Several nice inequalities be- tween gamma function and the ... See full document
9
Several sharp inequalities about the first Seiffert mean
... Cui, H.-C., Wang, N., Long, B.-Y.: Optimal bounds for the Neuman–Sándor mean in terms of the convex combination of the first and second Seiffert means.. Gao, S.-Q.: Inequalities for the Se[r] ... See full document
11
Some sharp inequalities for integral operators with homogeneous kernel
... Remark For the case α = () is the classical Hardy inequality. The almost years of research until Hardy finally proved this inequality in (see []) is described in detail in []. In particular, it is ... See full document
18
Two sharp double inequalities for Seiffert mean
... The achieved results are inspired by the paper of Seiffert (Die Wurzel, 29, 221-222, 1995), and the methods from Chu et al. (J. Math. Inequal., 4, 581-586, 2010). The inequalities we obtained improve the existing ... See full document
7
Sharp inequalities and asymptotic expansion associated with the Wallis sequence
... We present asymptotic expansion of function involving the ratio of gamma functions and provide a recurrence relation for determining the coefficients of the asymptotic expansion. As a consequence, we obtain asymptotic ... See full document
11
Sharp constant of Hardy operators corresponding to general positive measures
... Since the sharp function for the classical Hardy operator does not exist, it is easy to know p from inequality 12 that there exists no function f such that Rμ f = p–1.. The proof of the[r] ... See full document
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