Integral inequalities related to Hardy's inequality

1985 ◽  
Vol 28 (1) ◽  
pp. 199-207 ◽  
Author(s):  
R. N. Mohapatra ◽  
D. C. Russell
Keyword(s):  
Integral Inequalities ◽  
Hardy’S Inequality ◽  
Hardy's Inequality

On Some Integral Inequalities Related to Hardy's

1977 ◽  
Vol 20 (3) ◽  
pp. 307-312 ◽  
Author(s):  
Christopher Olutunde Imoru
Keyword(s):  
Integral Inequality ◽  
Convex Functions ◽  
Jensen’S Inequality ◽  
Integral Inequalities ◽  
Hardy’S Inequality ◽  
Jensen's Inequality ◽  
Hardy's Inequality ◽  
Special Case

AbstractWe obtain mainly by using Jensen's inequality for convex functions an integral inequality, which contains as a special case Shun's generalization of Hardy's inequality.

On a new class of Hardy type inequalities

1987 ◽  
Vol 105 (1) ◽  
pp. 265-274 ◽  
Author(s):  
B.G. Pachpatte
Keyword(s):  
Integral Inequalities ◽  
Hardy’S Inequality ◽  
Hardy Type Inequalities ◽  
New Class ◽  
Hardy Type ◽  
Hardy's Inequality

SynopsisIn this paper we establish a new class of integral inequalities which originate from the well-known Hardy's inequality. The analysis used in the proofs is quite elementary and is based on the idea used by Levinson to obtain generalisations of Hardy's inequality.

scholarly journals On some extensions of Hardy’s inequality

1985 ◽  
Vol 8 (1) ◽  
pp. 165-171 ◽  
Author(s):  
Christopher O. Imoru
Keyword(s):  
Integral Inequalities ◽  
Hardy’S Inequality ◽  
Sharp Focus ◽  
Hardy's Inequality

We present in this paper some new integral inequalities which are related to Hardy's inequality, thus bringing into sharp focus some of the earlier results of the author.

More on reverses of Minkowski’s inequalities and Hardy’s integral inequalities

2018 ◽  
Vol 13 (03) ◽  
pp. 2050064
Author(s):  
Bouharket Benaissa
Keyword(s):  
Hardy Inequality ◽  
Integral Inequality ◽  
Minkowski Inequality ◽  
Integral Inequalities ◽  
Hardy’S Inequality ◽  
Minkowski’S Inequality ◽  
Hardy's Inequality ◽  
Hardy’S Inequalities

In 2012, Sulaiman [Reverses of Minkowski’s, Hölder’s, and Hardy’s integral inequalities, Int. J. Mod. Math. Sci. 1(1) (2012) 14–24] proved integral inequalities concerning reverses of Minkowski’s and Hardy’s inequalities. In 2013, Banyat Sroysang obtained a generalization of the reverse Minkowski’s inequality [More on reverses of Minkowski’s integral inequality, Math. Aeterna 3(7) (2013) 597–600] and the reverse Hardy’s integral inequality [A generalization of some integral inequalities similar to Hardy’s inequality, Math. Aeterna 3(7) (2013) 593–596]. In this article, two results are given. First one is further improvement of the reverse Minkowski inequality and second is further generalization of the integral Hardy inequality.

scholarly journals Some Extensions of Hardy's Inequality

1979 ◽  
Vol 22 (2) ◽  
pp. 165-169 ◽  
Author(s):  
Ling-Yau Chan
Keyword(s):  
Measurable Function ◽  
Present Note ◽  
Integral Inequalities ◽  
Hardy’S Inequality ◽  
Hardy's Inequality

This note is concerned with some new integral inequalities which are extensions of the results in [2]. The method by which these results are obtained is due to D. C. Benson [1]. Throughout the present note we shall assume 1<p<∞ and f(x) a non-negative measurable function.

scholarly journals Generalizations of Integral Inequalities Similar to Hardy’s Inequality

2021 ◽  
Vol 47 (3) ◽  
pp. 1114-1124
Author(s):  
Gabriel Nshizirungu ◽  
Marco Mpimbo ◽  
Vedaste Mutarutinya
Keyword(s):  
Integral Inequalities ◽  
Hardy’S Inequality ◽  
Hardy's Inequality

In this paper, we established the generalizations of integral inequalities similar to Hardy’s inequality. Keywords:    Hardy’s inequality; Integral inequalities;  similar version;  Hlder’s inequality;  Generalizations

Nonexistence of Positive Solutions for Polyharmonic Systems in ℝN

2007 ◽  
Vol 7 (3) ◽  
Author(s):  
Yuxia Guo ◽  
Jiaquan Liu ◽  
Yajing Zhang
Keyword(s):  
Positive Solutions ◽  
Integral Inequalities ◽  
Hardy’S Inequality ◽  
Liouville Type ◽  
Hardy's Inequality ◽  
Liouville Type Theorems ◽  
Moving Plane

AbstractThis work is devoted to the nonexistence of positive solutions for polyharmonic systems(−Δ)Byusing the method of moving plane combined with integral inequalities and Hardy’s inequality, we prove some new Liouville type theorems for the above semilinear polyharmonic systems in ℝ

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