Functional and Operator Variants of Jensen's, Chord's, and Mercer's Inequality
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2013, Vol 3, Issue 2
Abstract
The paper examines functional and operator variants of Jensen's, chord's, and Mercer's inequality with a convex function on the interval of real numbers. In this research we relied on general functional and operator forms of Jensen's inequality. Among others, corresponding means are also observed. The inequalities for operators are observed without operator convexity.
Authors and Affiliations
Zlatko Pavia
Keywords
Related Articles
- EP ID EP651190
- DOI 10.24297/jam.v3i2.2453
- Views 185
- Downloads 0
The global attractors and exponential attractors for a class of nonlinear damping Kirchhoff equation
This paper consider the long time behavior of a class of nonlinear damped Kirchhoff equation    2 tt 1 t t u u u u u f x ï² ï€«ï¡ ï€ï§ï„ ï€ ï¡ ï€«ï¢ ïƒ‘ ï„ ï€½ . Study the attractor problem with init...
Quasiregular mapping that preserves plane
Quasiregular mappings are a natural generalization of analytic functions to higher dimensions. Quasiregular mappings have many properties. Our work in this paper is to prove the following theorem: If f  a b is a qu...
ON CJ- 1 - ON CJ-TOPLOGICAL SPACES
In this paper we introduced new types of spaces as CJ-space and strong CJ-space, also we studied the relationship between them and the relation of them with J-space and strong J-space researched by E.Michael.
On BCL-Algebra
It has been found that the BCL-algebra is more extensive class than BCK/BCI/BCH algebra. In this paper we study some properties of BCL-algebra of type (2,0) We also find deformation of such algebra and illustrate th...
Controlled 2-Frames in 2-Hilbert Spaces
Controlled frames in Hilbert spaces and 2-frames in 2-Hilbert spaces are studied, some results on them are presented. The controlled 2-frames in 2-Hilbert spaces is introduced. Some results on controlled 2-frames are est...