[PDF] Top 20 A note on Hardy’s inequality
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A note on Hardy’s inequality
... A note on Hardy’s inequality Yu-Ming Chu1* , Qian Xu2 and Xiao-Ming Zhang3 * Correspondence: [email protected] 1 School of Mathematics and Computation Science, Hunan City University,[r] ... See full document
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A Note On Hardy-type Inequalities
... Hardy’s inequality in [14] by developing the method of ”recurrent ...Carleman’s inequality. Another proof of Carleman’s inequality was given by him in [15] and his result has been generalized by ... See full document
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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
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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
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On a more accurate Hardy Mulholland type inequality
... 5. Yang, BC: Hilbert-Type Integral Inequalities. Bentham Science Publishers, Sharjah (2009) 6. Yang, BC: On Hilbert’s integral inequality. J. Math. Anal. Appl. 220, 778-785 (1998) 7. Yang, BC: An extension of ... See full document
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A new extension of a Hardy Hilbert type inequality
... new Hardy-Hilbert’s type inequality with a ...strengthened Hardy-Hilbert’s type ...integral inequality with some parameters and the equivalent ... See full document
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Integral Inequality of Hardy Type on Time Scales
... Inequalities are essential in the study of Mathematics and are useful tools in the theory of analysis. They have been playing a critical role in the study of the existence and uniqueness properties of solutions of ... See full document
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A Further Generalization of Hardy-Hilbert's Integral Inequality with Parameter and Applications
... If r in (4.4) is replaced by zero, then Widder’s theorem (see [8]) can be recaptured. Remark 5. After simple computation, the inequality (4.4) is equivalent to the inequality (3.4) in [2]. Consequently, ... See full document
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An improved Hardy type inequality on Heisenberg group
... improved Hardy inequality. It states that the following improved Hardy inequality holds for u ∈ C ∞ 0 (B ρ ) , where B r = {x Î ℝ n :|x| < r ... See full document
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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
... 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
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A note on a class of Hardy Rellich type inequalities
... Recently there has been a considerable interest in studying the Hardy-type and Rellich- type inequalities. See, for example, [–]. In [] Caffarelli, Kohn and Nirenberg proved a rather general interpolation ... See full document
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A Note on Bessel’s Inequality
... MOND, On the superadditivity and monotonicity of Gram’s in- equality and related results, Acta Math.. MOND, On the superadditivity and monotonicity of Schwartz’s inequality in inner prod[r] ... See full document
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A Note on Ostrowski's Inequality
... Since a Lipschitz function on [a, b] is absolutely continuous, a natural direction of generalization of the Ostrowski inequality was its investigation within this larger class of functions (with refinements for f ... See full document
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A note on Ostrowski's inequality
... The problem to estimate the deviation of a function from its mean value can be investigated from many other points of view: i by considering random variables attached to arbitrary probab[r] ... See full document
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On an Inequality of H G Hardy
... We state, prove, and discuss new general inequality for convex and increasing functions. As a special case of that general result, we obtain new fractional inequalities involving fractional integrals and ... See full document
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On a more accurate Hardy Mulholland type inequality
... Hermite-Hadamard’s inequality, a more accurate Hardy-Mulholland-type inequality with multi-parameters and a best possible constant factor is given by Theorems , , and the equivalent forms are ... See full document
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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
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
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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
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