Results 1 to 9 of about 9 (9)

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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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
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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
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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
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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
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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
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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
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On Minkowski's inequality and its application

Journal of Inequalities and Applications, 2011
In the paper, we first give an improvement of Minkowski integral inequality. As an application, we get new Brunn-Minkowski-type inequalities for dual mixed volumes.
Cheung Wing-Sum, Zhao Chang-Jian
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Diamond- Jensen's Inequality on Time Scales

Journal of Inequalities and Applications, 2008
The theory and applications of dynamic derivatives on time scales have recently received considerable attention. The primary purpose of this paper is to give basic properties of diamond- derivatives which are a linear combination of delta and nabla ...
Sidi Ammi MoulayRchid, Ferreira RuiAC, Torres DelfimFM   +2 more
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