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On an Inequality of H  G  Hardy

On an Inequality of H G Hardy

... The authors would like to express their gratitude to professor S. G. Samko for his help and suggestions and also to the careful referee whose valuable advice improved the final version of this paper. The research ... See full document

23

Integral Inequality of Hardy Type on Time Scales

Integral Inequality of Hardy Type on Time Scales

... The inequality on time scale was introduced by Hilger [8] in order to unify discrete and continuous analysis. Hence, a time scale is an arbitrary non empty closed subset of real numbers. Thus, the real numbers, ... See full document

10

Some new extensions of Hardy`s inequality

Some new extensions of Hardy`s inequality

... when Hardy finally proved ...the inequality has been developed and applied in almost unbelievable ...hardy’s inequality in higher dimensions are ... See full document

12

Extension of Hardy Inequality on Weighted Sequence Spaces

Extension of Hardy Inequality on Weighted Sequence Spaces

... We considered this problem for certain matrix operators such as Norlund, Weighted mean, Ceasaro and Copson matrices.. This problem is considered by some authors like Bennett, Jamson an[r] ... See full document

8

Hardy type inequalities on the sphere

Hardy type inequalities on the sphere

... been dedicated to improved versions of the above inequality because of its application to singular problems. We see [–] and the references therein. Hardy inequalities are a subfamily of the ... See full document

8

On an implicit convexity concept and some integral inequalities

On an implicit convexity concept and some integral inequalities

... Jensen’s inequality, the Hermite-Hadamard inequality, the Hardy-Littlewood-Pólya majoration inequality, Petrović’s inequality, Popoviciui’s convex function inequality, and many ... See full document

16

On a more accurate half discrete Hardy Hilbert type inequality related to the kernel of exponential function

On a more accurate half discrete Hardy Hilbert type inequality related to the kernel of exponential function

... Hermite-Hadamard’s inequality, a half-discrete Hardy-Hilbert-type inequality related to the kernel of exponential function with the best possible constant factor expressed by the gamma function is ... See full document

21

A more accurate half-discrete Hardy-Hilbert-type inequality with the best possible constant factor related to the extended Riemann-Zeta function

A more accurate half-discrete Hardy-Hilbert-type inequality with the best possible constant factor related to the extended Riemann-Zeta function

... Hermite-Hadamard’s inequality, a half-discrete Hardy-Hilbert-type inequality related to the kernel of the hyperbolic cosecant function with the best possible constant factor expressed in terms of the ... See full document

27

The concept of degeneration, 1880 1910, with particular reference to the work of Thomas Hardy, George Gissing and H  G  Wells

The concept of degeneration, 1880 1910, with particular reference to the work of Thomas Hardy, George Gissing and H G Wells

... 10 If one distinguishing feature of late-nineteenth century intellectual life is the assimilation of evolutionary science, it is also worth noting that trns buoyant scientific culture ma[r] ... See full document

455

New Upper Bounds for Mathieu-Type Series

New Upper Bounds for Mathieu-Type Series

... The Mathieu’s series S(r) was considered firstly by ´ E.L. Mathieu in 1890; its alternating variant S(r) has been recently introduced by Pog´any e et al. [12] where various bounds have been established for S, S. In this ... See full document

6

A more accurate half discrete Hardy Hilbert type inequality with the logarithmic function

A more accurate half discrete Hardy Hilbert type inequality with the logarithmic function

... best possible. Zhong et al. [–] investigated a few half-discrete Hilbert-type inequali- ties with the particular kernels. Applying the weight functions, a half-discrete Hilbert-type inequality with a general ... See full document

19

On a new class of Hardy type inequalities

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 ...integral Hardy, Hardy-Hilbert, ... See full document

19

On vector valued Hardy martingales and a generalized Jensen's inequality

On vector valued Hardy martingales and a generalized Jensen's inequality

... Jensen’s inequality for analytic vector-valued functions on T N using a monotonicity property of vector-valued Hardy ...group G, which are analytic with respect to an order on the dual ...Jensen’s ... See full document

6

An extended multidimensional Hardy-Hilbert-type inequality with a general homogeneous kernel

An extended multidimensional Hardy-Hilbert-type inequality with a general homogeneous kernel

... In this paper, by the use of the weight coefficients, the transfer formula and the technique of real analysis, an extended multidimensional Hardy–Hilbert–type inequality with a general homogeneous kernel ... See full document

13

A new restructured Hardy-Littlewood's inequality

A new restructured Hardy-Littlewood's inequality

... inequality (1.6) reduces to (1.4). For those Hilbert-type inequalities, which possess the general form of kernel or the particular homogeneous kernel of −λ-degree (λ > 0), Yang et al. [9], [10], [11], [12] used ... See full document

10

On a strengthened Hardy Hilbert type inequality

On a strengthened Hardy Hilbert type inequality

... possible. Inequality (.) is well known as Hardy-Hilbert’s inequality, and inequality ...a Hardy-Hilbert type ...of inequality were established (see ...some Hardy-Hilbert ... See full document

9

On a Hardy Hilbert type inequality with parameters

On a Hardy Hilbert type inequality with parameters

... By means of the way of weight coefficients and technique of real analysis, an extension of a Hardy-Hilbert-type inequality with parameters and a best possible constant factor is given. The equivalent forms, ... See full document

18

One dimensional differential Hardy inequality

One dimensional differential Hardy inequality

... Remark . If  or  is correct, then by Theorem . there follows the correctness of the corresponding integral Hardy inequality see [].. where the condition Ap,q < ∞ coincides with th[r] ... See full document

11

A Reverse Hardy Hilbert Type Inequality

A Reverse Hardy Hilbert Type Inequality

... By estimating the weight coefficient, a reverse Hardy-Hilbert-type inequality is proved. As applications, some equivalent forms and a number of particular cases are obtained. Copyright © 2007 Gaowen Xi. This ... See full document

7

Hardy type inequalities in fractional h discrete calculus

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 (2005) 31. ... See full document

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