[PDF] Top 20 Some multi-dimensional Hardy type integral inequalities
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Some multi-dimensional Hardy type integral inequalities
... [3], [4], [7] and the references given there). The one-dimensional case is very well studied but even in two dimensions there is only one result for the inequality (1.2) to hold without any special restrictions on ... See full document
20
Some new iterated Hardy type inequalities: the case θ=1
... Remark . Let I = (a, b) ⊆ R. If f ∈ C(I) and ϕ is a non-decreasing, right-continuous and finite function on I, then it is possible to show that for any [y, z] ⊂ I, the Riemann-Stieltjes integral [y,z] f dϕ ... See full document
29
On a composition of two Hilbert Hardy type integral operators and related inequalities
... with some particular ker- nels, and [] and [] published some composition of two Hilbert-Hardy-type integral operators with particular ... See full document
18
Some Landau Type Inequalities for Functions whose Derivates are Hölder Continuous
... Lemma 1.. LANDAU, Einige Ungleichungen f¨ ur zweimal differentzierban funktionen, Proc. HARDY and J.E. LITTLEWOOD, Some integral inequalities connected with the calculus of variations, Q[r] ... See full document
6
On refined Hardy Knopp type inequalities in Orlicz spaces and some related results
... Theorem . is our main result in the first part of Section . Enlightened by the work of Lour [], we will derive a series of examples based on it, including several averaging operators and integral transforms in ... See full document
17
On a new class of Hardy type inequalities
... to some applications and analogues of Theo- rem ...choosing some standard measure spaces, kernels, and weight func- tions, we get generalizations of one-dimensional and multidimensional ... See full document
19
Hilbert type and Hardy type integral inequalities with operator expressions and the best constants in the whole plane
... establish inequalities in the whole plane, as well as the corresponding operator expression, the equivalent form, and the reverse ...a Hardy-type inequality with the best possible ... See full document
10
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, ... See full document
18
A note on certain integrals along polynomial compound curves
... Hardy type inequalities related to the parametric Marcinkiewicz integral operators and maximal operators related to singular integrals along polynomial compound curves in ...[13]. Some ... See full document
16
Hardy type inequalities for integral transforms associated with Jacobi operator
... [19] K. Trim`eche, Transformation int´egrale de Weyl et th´eor`eme de Paley-Wiener associ´es `a un op´erateur diff´erentiel singulier sur (0, ∞ ) [Weyl integral transform and Paley-Wiener theo- rem associated with ... See full document
20
Some new Hardy type inequalities for Riemann Liouville fractional q integral operator
... in some applied areas such as computer science, quantum mechanics and quantum physics (see, ...concerning integral inequalities in q-analysis were proved in by Gauchman ...on some further ... See full document
17
On Some Integral Inequalities of Hardy Type Operators
... This inequality can be found in many standard books (see [2-7]). Inequality (1) has found much interest from a number of researchers and there are numerous new proofs, as well as, extensions, refinements and variants ... See full document
6
On Hardy type integral inequalities with the gamma function
... By means of real analysis and weight functions, we obtain a few equivalent conditions of two kinds of Hardy-type integral inequalities with the non-homogeneous kernel and parameters. The ... See full document
17
on multiple Hardy Hilbert integral inequalities with some parameters
... Hardy-Hilbert inequalities are important in analysis and in their applications (see ...of Hardy-Hilbert ...multiple Hardy-Hilbert in- tegral inequalities are researched (see [5, 6, ... See full document
11
New Riemann-Liouville generalizations for some inequalities of Hardy type
... For our results, some recent results of Hardy type and other interesting inequalities of integer order of integration can be deduced as some special cases.. Keywords: Integral inequaliti[r] ... See full document
7
On a Multiple Hilbert Type Integral Inequality with the Symmetric Kernel
... x + y dx d y. (1.3) Inequality (1.2) posts the relationship of Hilbert inequality and the integral operator T. Recently, inequality (1.1) has been extended by [3–6] by using the way of weight func- tion and ... See full document
17
Applications of one and two dimensional Volterra inequalities in differential equations of the hyperbolic type
... two-dimensional integral inequalities of the Volterra type are applied to study the behaviour properties of the solutions to var- ious boundary value problems for partial differential equations ... See full document
11
Some new fractional q integral Grüss type inequalities and other inequalities
... 16. Al-Salam, WA: Some fractional q-integrals and q-derivatives. Proc. Edinb. Math. Soc. 15(2), 135-140 (1966/1967) 17. Agarwal, RP: Certain fractional q-integrals and q-derivatives. Proc. Camb. Philos. Soc. 66, ... See full document
15
Refinements of Fejér's Inequality for Convex Functions
... Dragomir,On Some Weighted Integral Inequalities for Convex Functions Related to Fejér’s Result (Submitted) Preprint RGMIA ...On Some Inequalities of Hadamard’s Type ... See full document
11
\(L^{p}\) Hardy type inequality in the half space on the H type group
... Abstract In the current work we studied Hardy type and Lp Hardy type inequalities in the half-space on the H-type group, where the Hardy inequality in the upper half-space Rn+ was proved[r] ... See full document
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