Results 1 to 10 of about 116 (113)

The upper bound of a reserve Hölder's type operator inequality and its applications

Journal of Inequalities and Applications, 2002
In our previous paper, we obtained a reverse Hölder's type inequality which gives an upper bound of the difference: with a parameter , for -tuples and of positive numbers and for , satisfying .
Tominaga Masaru
doaj   +2 more sources

Refining the Hölder and Minkowski inequalities

Journal of Inequalities and Applications, 2001
Refinements to the usual Hölder and Minkowski inequalities in the Lebegue spaces are proved. Both are inequalities for non-negative functions and both reduce to equality in .
Sinnamon G
doaj   +1 more source

On the degree of approximation by Gauss Weierstrass integrals

International Journal of Mathematics and Mathematical Sciences, 2000
We obtain the degree of approximation of functions belonging to class Lip(ψ(u,v);p),   p>1 using the Gauss Weierstrass integral of the double Fourier series of f(x,y).
Huzoor H. Khan, Govind Ram
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A logarithmic extension of the Hölder inequality

Journal of Inequalities and Applications, 1999
We prove a logarithmic extension of the Höllder inequality, motivated by an application to the complex Ginzburg–Landau equation.
Velo G, Ginibre J
openaire   +1 more source

On improvements of the Rozanova's inequality

Journal of Inequalities and Applications, 2011
In the present paper, we establish some new Rozanova's type integral inequalities involving higher-order partial derivatives. The results in special cases yield some of the interrelated results on Rozanova's inequality and provide new estimates on ...
Cheung Wing-Sum, Zhao Chang-Jian
doaj  

A remark over the converse of Hölder inequality

Journal of Inequalities and Applications, 1999
Let be a measure space and be the set of measurable nonnegative real functions defined on . Let be a positive homogenous functional. Suppose that there are two sets , such that and let and be continuous bijective functions of onto . We prove that if there is no positive real number such that and for all , then and must be conjugate power ...
Cuenya Héctor H, Levis Fabián E   +1 more
openaire   +1 more source

Extension of Hu Ke's inequality and its applications

Journal of Inequalities and Applications, 2011
In this paper, we extend Hu Ke's inequality, which is a sharpness of Hölder's inequality. Moreover, the obtained results are used to improve Hao Z-C inequality and Beckenbach-type inequality that is due to Wang.
Tian Jing-Feng
doaj  

Inequalities for Beta and Gamma functions via some classical and new integral inequalities

Journal of Inequalities and Applications, 2000
In this survey paper we present the natural applications of certain integral inequalities such as Chebychev's inequality for synchronous and asynchronous mappings, Hölder's inequality and Grüss' and Ostrowski's inequalities for the celebrated ...
Agarwal RP, Dragomir SS, Barnett NS
doaj  

The Reverse Hölder Inequality for the Solution to p-Harmonic Type System

Journal of Inequalities and Applications, 2008
Abstract Some inequalities to -harmonic equation have been proved. The -harmonic equation is a particular form of -harmonic type system only when and . In this paper, we will prove the Poincaré inequality and the reverse Hölder inequality for the solution to the -harmonic type system.
Zhu Haijing, Cao Zhenhua, Bao Gejun, Li Ronglu   +3 more
openaire   +1 more source

On some Opial-type inequalities

Journal of Inequalities and Applications, 2011
In the present paper we establish some new Opial-type inequalities involving higher-order partial derivatives. Our results in special cases yield some of the recent results on Opial's inequality and also provide new estimates on inequalities of this type.
Cheung Wing-Sum, Zhao Chang-Jian
doaj