Results 11 to 20 of about 314 (194)

Refinements of Generalized Hölder’s Inequalities

Journal 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, Wen-Li Wang, Donal O’Regan   +2 more
doaj   +1 more source

Refinements of Hardy-Type Inequalities

Abstract 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

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

Journal 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

Journal 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

Journal 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, Ghada AlNemer, M. Zakarya, H. M. Rezk   +3 more
doaj   +1 more source

A Refinement of the Integral Jensen Inequality Pertaining Certain Functions with Applications

Journal of Function Spaces, 2022
In this paper, we present a new refinement of the integral Jensen inequality by utilizing certain functions and give its applications to various means.
Zaid Mohammed Mohammed Mahdi Sayed, Muhammad Adil Khan, Shahid Khan, Josip Pečarić   +3 more
doaj   +1 more source

Extensions and demonstrations of Hölder’s inequality

Journal 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

International 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

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

Journal 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

Refined and Generalized Versions of Hölder’s Inequality via Schur Convexity of Functions

Journal of Function Spaces
In this paper, we introduce a class of functions associated with Hölder’s inequality and show the Schur convexities of these functions. With the help of Schur convexity, several improved versions of Hölder’s inequality are established.
Shanhe Wu
doaj   +1 more source