[PDF] Top 20 Generalizations of Hardy's integral inequalities
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Generalizations of Hardy's integral inequalities
... Bicheng: Department of Mathematics, Guangdong Education College, Guangzhou, Guangdong, 510303 China Debnath: Department of Mathematics, University of Central Florida, Orlando, Florida 32[r] ... See full document
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On new generalizations of Hardy's integral inequalities
... ON NEW GENERALIZATIONS OF HARDY’S INTEGRAL INEQUALITIES LÜ ZHONGXUE and XIE HONGZHENG Received 1 November 2001.. We give some new generalizations of Hardy’s integral inequalities.[r] ... See full document
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A note on certain integrals along polynomial compound curves
... type inequalities related to the parametric Marcinkiewicz integral operators and maximal operators related to singular integrals along polynomial compound curves in ... See full document
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Some new Hardy type inequalities for Riemann Liouville fractional q integral operator
... of Hardy-type inequalities for the Riemann-Liouville fractional integral operator of order n ∈ N and to find necessary and sufficient conditions of the validity of these inequalities for all ... See full document
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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
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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
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A Multiple Hilbert Type Integral Inequality with the Best Constant Factor
... new generalizations of Hilbert’s inequality and their applica- tions,” Journal of Mathematical Analysis and Applications, ...Applied Inequalities, Shandong Science and Technology Press, Jinan, China, ...new ... See full document
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Generalizations of some fractional integral inequalities via generalized Mittag Leffler function
... the generalizations of the Hermite-Hadamard type inequalities via generalized fractional ...fractional integral operator. Being generalizations, the results of [–] have been ... See full document
10
On an implicit convexity concept and some integral inequalities
... important integral inequalities are based on a convexity assumption of a certain function, such as Jensen’s inequality, the Hermite-Hadamard inequality, the Hardy-Littlewood-Pólya majoration ... See full document
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On a composition of two Hilbert Hardy type integral operators and related inequalities
... Hilbert-Hardy-type integral inequalities with the best possible constant ...Hilbert-Hardy-type integral operators and some examples are given, which are some extensions of the results ... See full document
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Nonlinear integral inequalities with delay for discontinuous functions and their applications
... Gronwall-Bellman integral inequalities and their various linear and nonlinear gen- eralizations, involving continuous or discontinuous functions, play very important roles in investigating different ... See full document
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Generalized integral inequalities for discontinuous functions with two independent variables and their applications
... Integral inequalities and their various linear and nonlinear generalizations involving con- tinuous or discontinuous functions play very important roles in investigating different qualitative ... See full document
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Some multi-dimensional Hardy type integral inequalities
... multi-dimensional Hardy type inequalities for the case 0 < q < p < ∞ when we alternately assume that the weight on the right (or left) hand side in ...limit inequalities (involving the ... See full document
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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
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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
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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 constant ... See full document
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Generalizations of Opial’s Inequalities for Riemann-Stieltjes Integral with Applications
... Motivated by the above results, in this paper we establish some generalizations of Opial’s inequalities for Riemann-Stieltjes integral and for two functions2. Appli- cations related to t[r] ... See full document
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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
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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
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