[PDF] Top 20 Strengthened Hardy-type inequalities
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Strengthened Hardy-type inequalities
... to Hardy-type inequalities and to some modifications and consequences contained in [11, ...those inequalities hold on some classes of functions and to some new extension, generalization to ... See full document
8
On a new class of Hardy type inequalities
... On the other hand, applying a different approach, Oguntuase et al. [] obtained a class of multidimensional strengthened Hardy-type inequalities with power weights, related to arbitrary a.e. ... See full document
19
New applications of Schrödinger type inequalities in the Schrödingerean Hardy space
... Schrödinger type inequalities for stabilization of discrete linear systems associated with the stationary Schrödinger ...new type of minimal thinness with respect to the stationary Schrödinger ... See full document
8
Time scale Hardy type inequalities with ‘broken’ exponent p
... In , Godunova [] discovered that inequality (.) can be proved via convexity ar- gument, but this result was not well known in western literature. The use of convexity argument to prove Hardy-type ... See full document
14
Some Weighted Hardy Type Inequalities on Anisotropic Heisenberg Groups
... weighted Hardy type inequalities associated with a class of nonisotropic Greiner- type vector fields on anisotropic Heisenberg ...new Hardy type inequalities on ... See full document
10
Hardy Hilbert Type Inequalities with a Homogeneous Kernel in Discrete Case
... In this paper a generalization of Theorem 1.1 for a general type of homogeneous kernels is obtained. Recall that for a homogeneous function Kx, y of degree −λ, λ > 0, equality Ktx, ty t −λ Kx, y is satisfied ... See full document
8
Hardy type inequalities for integral transforms associated with Jacobi operator
... Hardy operator Tϕ and its dual Tϕ∗ when the function ϕ is nonincreasing on ]0,1[ In this section, we consider a measurable positive and nonincreasing function ϕ defined on ]0,1[ for whic[r] ... See full document
20
WEIGHTED HARDY AND POLYA–KNOPP INEQUALITIES WITH VARIABLE LIMITS
... In this paper we prove that the condition (1.3) is not unique for characterizing (1.2). More exactly, inspired by results in [5] we will prove that there is a whole scale of conditions for characterizing (1.2) (see ... See full document
12
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
Hardy Littlewood and Caccioppoli Type Inequalities for Harmonic Tensors
... norm of ∇u or du in terms of the corresponding norm u or u − c, where u is a differential form satisfying the A-harmonic equation 1.4 and c is any closed form. These kinds of estimates are called the ... See full document
14
Hardy type inequalities in fractional h discrete calculus
... 29. Bennett, G.: Inequalities complimentary to Hardy. Q. J. Math. Oxford Ser. (2) 49, 395–432 (1998) 30. Gao, P.: A note on Hardy-type inequalities. Proc. Am. Math. Soc. 133, 1977–1984 ... See full document
14
The Strengthened Hardy Inequalities and its New Generalizations
... This theorem was discovered in the course of attempts to simplify the proofs then known of Hilbert’s double series theorems (see [4, Theorem 315]). Hilbert’s double series theorem was completed by the above inequality. ... See full document
11
Weighted Hardy type inequalities for supremum operators on the cones of monotone functions
... are very well studied. See e.g. the books [, ] and [] and the references therein. We also mention the following examples of articles in this area: [–] and []. Recently, it has been discovered that it is of great ... See full document
18
On a composition of two Hilbert Hardy type integral operators and related inequalities
... In this paper, applying the way of real and functional analysis and estimating the weight functions, we build some lemmas and deduce some Hilbert-type and Hilbert-Hardy-type integral ... See full document
18
Scaling invariant Hardy inequalities of multiple logarithmic type on the whole space
... Abstract In this paper, we establish Hardy inequalities of logarithmic type involving singularities on spheres in Rn in terms of the Sobolev-Lorentz-Zygmund spaces.. We prove it by absor[r] ... See full document
13
A relation between two simple Hardy Mulholland type inequalities with parameters
... (– < α ≤ , < λ ≤ ; m, n ∈ N \{}) and a best possible constant factor is provided, which is a relation between two simple Hardy-Mulholland-type inequalities similarly to () and (). The ... See full document
14
Hardy type inequalities within fractional derivatives without singular kernel
... The organization of this paper is given below. In Sect. 1, we given introduction. In Sect. 2, basic definitions and theorems are introduced. Motivated by [12, 26, 36] several Hardy- type inequalities ... See full document
11
Minkowski type inequalities involving Hardy function and symmetric functions
... the Hardy function (see [] and Remark ), and that the interpolating quasi- polynomial can be expressed by the generalized Vandermonde determinant (see [, ]), the Hardy function and the generalized ... See full document
17
Some exact inequalities of Hardy Littlewood Polya type for periodic functions
... Laith Emil Azar: Department of Mathematics, Al Al-Bayt University, Mafraq 25113, Jordan E-mail address: [email protected].[r] ... See full document
7
Boundedness and compactness of a class of Hardy type operators
... We establish characterizations of both boundedness and of compactness of a general class of fractional integral operators involving the Riemann-Liouville, Hadamard, and Erdelyi-Kober operators. In particular, these ... See full document
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