Results 11 to 20 of about 320 (142)

Generalizations of Hölder's inequality

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2001
Some generalized Hölder's inequalities for positive as well as negative exponents are obtained.
Wing-Sum Cheung
doaj   +1 more source

Some new generalizations of Hardy's integral inequality

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2006
We have studied some new generalizations of Hardy's integral inequality using the generalized Holder's inequality.
S. K. Sunanda, C. Nahak, S. Nanda
doaj   +1 more source

Refinements of Hardy-Type Inequalities

open access: yesAbstract and Applied Analysis, 2013
Using Hu Ke's inequality, which is a sharped Hölder's inequality, we present some new refinements of Hardy-type inequalities proposed by Imoru.
Jingfeng Tian, Yang-Xiu Zhou
doaj   +1 more source

Refinements of Generalized Hölder’s Inequalities

open access: yesJournal of Applied Mathematics, 2014
We present some new versions of generalized Hölder’s inequalities. The results are used to improve Minkowski’s inequality and a Beckenbach-type inequality.
Jingfeng Tian   +2 more
doaj   +1 more source

A New Refinement of Generalized Hölder’s Inequality and Its Application

open access: yesJournal of Function Spaces and Applications, 2013
We present a new refinement of generalized Hölder’s inequality due to Vasić and Pečarić. Moreover, the obtained result is used to improve Beckenbach-type inequality due to Wang.
Jingfeng Tian
doaj   +1 more source

On Logarithmic Convexity for Differences of Power Means

open access: yesJournal of Inequalities and Applications, 2008
We proved a new and precise inequality between the differences of power means. As a consequence, an improvement of Jensen's inequality and a converse of Holder's inequality are obtained.
Slavko Simic
doaj   +1 more source

Some Dynamic Inequalities of Hilbert’s Type

open access: yesJournal of Function Spaces, 2020
This paper is concerned with deriving some new dynamic Hilbert-type inequalities on time scales. The basic idea in proving the results is using some algebraic inequalities, Hölder’s inequality and Jensen’s inequality, on time scales. As a special case of
A. M. Ahmed   +3 more
doaj   +1 more source

Generalizations of Hölder’s and Some Related Integral Inequalities on Fractal Space

open access: yesJournal of Function Spaces and Applications, 2013
Based on the local fractional calculus, we establish some new generalizations of Hölder’s inequality. By using it, some related results on the generalized integral inequality in fractal space are investigated in detail.
Guang-Sheng Chen
doaj   +1 more source

Extensions and demonstrations of Hölder’s inequality

open access: yesJournal of Inequalities and Applications, 2019
In this paper, we present some new extensions of Hölder’s inequality and give a condition under which the equality holds. We also show that many existing inequalities related to the Hölder inequality are particular cases of the inequalities presented. At
Fei Yan, Qin Gao
doaj   +1 more source

On an inverse to the Hölder inequality

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1997
An extension is given for the inverse to Hölder's inequality obtained recently by Zhuang.
J. Pecaric, C. E. M. Pearce
doaj   +1 more source

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