Volume 1, Issue 1, 2000

Article 4

http://jipam.vu.edu.au/v1n1/013_99.html

GENERALIZED ABSTRACTED MEAN VALUES

FENG QI
E-Mail: qifeng@jzit.edu.cnURL: http://rgmia.vu.edu.au/qi.html

DEPARTMENT OF MATHEMATICS,
JIAOZUO INSTITUTE OF TECHNOLOGY,
JIAOZUO CITY, HENAN 454000,
THE PEOPLE’S REPUBLIC OF CHINA

Received 4 November, 1999; accepted 6 December, 1999.
Communicated by: L. Debnath.

ABSTRACT. In this article, the author introduces the generalized abstracted mean values which extend the concepts of most means with two variables, and researches their basic properties and monotonicities.

Key words:
Generalized abstracted mean values, basic property, monotonicity.

2000 Mathematics Subject Classification: 26A48, 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 4

GENERALIZED ABSTRACTED MEAN VALUES

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/