[PDF] Top 20 On Hardy type integral inequalities with the gamma function
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On Hardy type integral inequalities with the gamma function
... where the constant factor φ(σ) is the best possible (cf. []). For σ = p , () reduces to (). Some equivalent inequalities of () and () are considered by []. In , Yang [] studied the equivalency ... See full document
17
Hermite Hadamard type inequalities for the generalized k fractional integral operators
... fractional integral operators (see, ...positive function having a continuous derivative g on (a, ...the function g on [a, b] of order α are defined, respectively, ... See full document
17
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
Some new Hardy type inequalities for Riemann Liouville fractional q integral operator
... concerning integral inequalities in q-analysis were proved in by Gauchman ...classical inequalities have been proved (see ...so-called Hardy-type inequalities have their ... See full document
17
7. Some Results on a Generalized Hypergeometric $k$-Functions
... like gamma k- function, beta k-function, hypergeometric k-function, solutions of hypergeometric k-differential equations, contiguous k-function relations, inequalities with ... See full document
12
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
New Riemann-Liouville generalizations for some inequalities of Hardy type
... where p > 1, x > 0, f is a nonnegative integrable function on [ 0, ∞ [ . The constant p−1 p p is the best possible. During the past decades, the inequality has been developed and applied in almost ... See full document
7
On a new class of Hardy type inequalities
... a Hardy-type inequality to the class of arbitrary non-negative functions bounded from below and above with a convex function multiplied with positive real ...classical integral Hardy, ... See full document
19
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
Best constants for certain multilinear integral operators
... important inequalities due to Hilbert, Hardy- Littlewood-P ´olya, and ...these inequalities and provide formulas for the best constants in a closed form via the gamma ...the gamma and ... See full document
12
Wendel-Gautschi-Kershaw's Inequalities and Sufficient and Necessary Conditions that a Class of Functions Involving Ratio of Gamma Functions are Logarithmically Completely Monotonic
... [39] F. Qi, Q. Yang and W. Li, Two logarithmically completely monotonic functions connected with gamma function, Integral Transforms Spec. Funct. 17 (2006), no. 7, 539–542. RGMIA Res. Rep. Coll. 8 ... See full document
11
Hardy type inequalities on the sphere
... weighted function ρ satisfies |∇ ρ | = and ρ ≥ C ρ ...obtained Hardy, Rellich and Sobolev inequalities in homogeneous ...improved Hardy inequalities and an improved Rellich inequality ... See full document
8
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 ... See full document
16
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 ... See full document
17
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
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
Some multi-dimensional Hardy type integral inequalities
... (see, for instance, [5]). Also this result can be given in a natural n -dimensional setting. In Section 2. of this paper we prove some statements (see Lemmas 2.1–2.3), which are needed later on but also partially ... See full document
20
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
Hardy Littlewood maximal function on noncommutative Lorentz spaces
... maximal inequalities, a version of ergodic theory was given by Junge [] and Junge, Xu ...noncommutative Hardy-Littlewood maximal inequality for an operator-valued ...of Hardy-Littlewood maximal ... See full document
8
On a composition of two Hilbert Hardy type integral operators and related inequalities
... About the discrete forms of () and (), in , Wilhelm [] gave an operator expres- sion. In , by using the operator theory, Zhang [] gave some improvements of () and the discrete form. In to , [] ... See full document
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