Hardy‐type integral inequalityHölder's inequalityweight functionIn this paper, we give some new types of the classical Hardy integral inequality by including a second parameter q and using weighted mean ope
E. PERSSON AND N. SAMKO, Hardy type inequalities with kernels: the current status and some new results, Math. Nachr. (to appear).A. Kufner, L.-E. Persson and N. Samko, Hardy type inequalities with kernels: the current status and some results, Math. Nachr. (to appear )....
Hardy ineqalityIn this paper, we use the Riemnn-Liouville fractional integrals to establish new results related to Hardy inequalities. For our results, some result of the paper [ A.Khameli et al : New Riemann-Liouville gereralizations for some inequalities of Hardy Type. Malaya J. Mat. 4...
In this paper, we give some new generalizations to the Hardy-type integral inequalities for functions of two variables by using weighted mean operators \\(S_{1}:=S_{1}^{w}f\\) and \\(S_{2}:=S_{2}^{w}f\\) defined by $$\\begin{aligned}S_{1}(x,y)=\\displaystyle \\frac...
Hardy inequalityweight functionfractional order derivativep/ pWeighted inequalities for fractional derivatives ( inline-formulagraphic file=1029-242X-1997-787248-i1.gif//inline-formula fractional order Hardy-type inequalities) have recently been proved in [4] and [1]. In this paper, new inequalities...
Sulaiman presented, in 2008, new kinds of Hardy-Hilbert???s integral inequality in which the weight function is homogeneous. In this paper, we present a generalization on the kinds of Hardy-Hilbert???s integral inequality.doi:10.1155/2013/925464Sroysang...
Interscience, New York (1966) MATH Google Scholar Kemperman, J.H.B.: Review: Albert W. Marshall and Ingram Olkin, Inequalities: Theory of majorization and its applications, and Y. L. Tong, Probability inequalities in multivariate distributions. Bull. Am. Math. Soc. 5(3), 319–324 (...
40 On the Hardy Littlewood 3-tuple prime conjecture and convolutions of Ramanujan s 44:48 Quantitative estimates for the size of an intersection of sparse automatic sets 41:09 A new explicit bound for the Riemann zeta function 52:30 An explicit error term in the prime number theorem for ...
Hardy'sinequalityIn this paper, some new Hardy-type inequalities involving many functions are obtained. These on the one hand generalize and on the other hand improve some existing results by Isumi and Isumi, Levinson, and Pachpatte on this famous type of inequalities.Wing-Sum...
Hardy-type integral inequalityHolder's inequalityweight functionIn this paper, we give some new types of the classical Hardy integral inequality by including a second parameter q and using weighted mean operators S-1 := (S-1)(g)(w) and S-2 := (S-2)(g)(w) defined byBenaissa, Bou...