Abstract
In this paper we give some necessary and sufficient conditions under
which a lower semi-continuous function defined on a real normed space
is a semi-E-convex or quasi-semi-E-convex function.
Keywords
Semi-E-convex Quasi-semi-E-convex Lower semi-continuous 2000 AMS Classification 26 A 51 26 B 25 39 B 72
References
- Chen, X. Some Properties of semi-E-convex Functions J. Math. Anal. Appl. 275, 251–262, 2002.
- Syau, Y. R. and Lee, E. S. Some properties of E-convex functions, Elsevier Applied Mathe- matics Letters 18, 1074–1080, 2005.
- Syau, Y. R. A Note On Convex Functions, Internal. J. Math. Scl. 22 (3), 525–534, 1999.
- Yang, X. M. Technical Note On E-convex Sets, E-convex Functions, and E-convex Program- ing, Journal of Optimization Theory and Applications 109 (3), 699–704, 2001.
- Youness, E. A. E-convex sets, E-convex Functions, and E-convex Programming, Journal of Optimization Theory and Applications 102 (2), 439–450, 1999.
Abstract
References
- Chen, X. Some Properties of semi-E-convex Functions J. Math. Anal. Appl. 275, 251–262, 2002.
- Syau, Y. R. and Lee, E. S. Some properties of E-convex functions, Elsevier Applied Mathe- matics Letters 18, 1074–1080, 2005.
- Syau, Y. R. A Note On Convex Functions, Internal. J. Math. Scl. 22 (3), 525–534, 1999.
- Yang, X. M. Technical Note On E-convex Sets, E-convex Functions, and E-convex Program- ing, Journal of Optimization Theory and Applications 109 (3), 699–704, 2001.
- Youness, E. A. E-convex sets, E-convex Functions, and E-convex Programming, Journal of Optimization Theory and Applications 102 (2), 439–450, 1999.
Details
| Primary Language | English |
|---|---|
| Subjects | Statistics |
| Journal Section | Research Article |
| Authors | |
| Publication Date | June 1, 2012 |
| Published in Issue | Year 2012 Volume: 41 Issue: 6 |