Volume 1, Issue 1, 2000

Article 5

http://jipam.vu.edu.au/v1n1/004_99.html

AN INEQUALITY FOR LINEAR POSITIVE FUNCTIONALS

UNIVERSITY BABES-BOLYAI CLUJ-NAPOCA,
DEPARTMENT OF MATHEMATICS AND COMPUTERS,
STR. MIHAIL KOGALNICEANU 1,
3400 CLUJ-NAPOCA, ROMANIA.
EMail: gb7581@math.ubbcluj.ro

TECHNICAL UNIVERSITY CLUJ-NAPOCA,
DEPARTMENT OF MATHEMATICS,
STR. C. DAICOVICIU 15,
3400 CLUJ-NAPOCA, ROMANIA.
EMail: Ioan.Gavrea@math.utcluj.ro

Received 20 September, 1999; accepted 18 February 2000.
Communicated by: Feng Qi

ABSTRACT. Using P₀ -simple functionals, we generalise the result from Theorem 1.1 obtained by Professor F. Qi (F. QI, An algebraic inequality, RGMIA Res. Rep. Coll., 2(1) (1999), article 8).

Key words:
Linear positive functionals, modulus of smoothness, P_n-simple functionals, inequalities.

2000 Mathematics Subject Classification: 26D15.

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Other papers in this issue

Volume 1, Number 1, 2000
http://jipam.vu.edu.au/v1n1/

1.	*Power-monotone sequences and Fourier series with positive coefficients* L. Leindler	2.	*On Hadamard's Inequality on a Disk* S.S. Dragomir
3.	*A Steffensen Type Inequality* Hillel Gauchman	4.	*Generalized Abstracted Mean Values* Feng Qi
5.	*An Inequality for Linear Positive Functionals* Bogdan Gavrea and Ioan Gavrea	6.	*Inequalities for Planar Convex Sets* Paul R. Scott and Poh Wah Awyong
7.	*Reverse Weighted L_p - Norm Inequalities in Convolutions* Saburou Saitoh, Vu Kim Tuan and Masahiro Yamamoto	8.	*Existence and Local Uniqueness for Nonlinear Lidstone Boundary Value Problems* Jeffrey Ehme and Johnny Henderson
9.	*On Hadamard's Inequality for the Convex Mappings Defined on a Convex Domain in the Space* Bogdan Gavrea	10.	*Weighted Modular Inequalities for Hardy-Type Operators on Monotone Functions* Hans P. Heinig and Qinsheng Lai

Volume 1, Issue 1, 2000

Article 5

AN INEQUALITY FOR LINEAR POSITIVE FUNCTIONALS

Other papers in this issue

Volume 1, Number 1, 2000 http://jipam.vu.edu.au/v1n1/

Volume 1, Number 1, 2000
http://jipam.vu.edu.au/v1n1/