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Journals / Hacettepe Journal of Mathematics and Statistics / 2012 / Volume: 41 Issue: 6

On Semi-E-Convex and Quasi-Semi-E-Convex Functions ABSTRACT | FULL TEXT

Farzollah Mirzapour
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Publication Date
2012-06-01
DOI
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

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.

📌 3 Key Takeaways

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Objective & Hypothesis: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.
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Key Findings & Data: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.
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Conclusion & Impact: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.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Semi-E-convex · Quasi-semi-E-convex · Lower semi-continuous

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.

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Cite This Article

Mirzapour, F. (2012). On Semi-E-Convex and Quasi-Semi-E-Convex Functions ABSTRACT | FULL TEXT. Hacettepe Journal of Mathematics and Statistics, Volume: 41 Issue: 6. https://ajindex.com/articles/1403506

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References (5)

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  2. Syau, Y. R. and Lee, E. S. Some properties of E-convex functions, Elsevier Applied Mathe- matics Letters 18, 1074–1080, 2005.
  3. Syau, Y. R. A Note On Convex Functions, Internal. J. Math. Scl. 22 (3), 525–534, 1999.
  4. 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.
  5. Youness, E. A. E-convex sets, E-convex Functions, and E-convex Programming, Journal of Optimization Theory and Applications 102 (2), 439–450, 1999.