\(h\)-strongly \(E\)-convex functions

Authors

  • Daniela Marian Technical University Cluj-Napoca, Romania

DOI:

https://doi.org/10.33993/jnaat401-950

Keywords:

strongly \(E\)-convex sets, strongly \(E\)-convex functions, \(h\)-convex functions, \(h\)-strongly \(E\)-convex functions
Abstract views: 261

Abstract

Starting from strongly \(E\)-convex functions introduced by E. A. Youness, and T. Emam, from \(h\)-convex functionsintroduced by S. Varošanec and from the more general conceptof \(h\)-convex functions introduced by A. Házy we define and study \(h\)-strongly \(E\)-convex functions. We study some properties of them.

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References

Bombardelli, M. and Varošanec, S., Properties of h-convex functions related to the Hermite-Hadamard-Fejér inequalities, Computers and Mathematics with Applications, 58, pp. 1869-1877, 2009. DOI: https://doi.org/10.1016/j.camwa.2009.07.073

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Házy, A., Bernstein-Doetsch Type Results for h-convex Functions, Mathematical Inequalities and Applications, 14, no. 3, pp. 499-508, 2011 https://doi.org/10.7153/mia-14-42. DOI: https://doi.org/10.7153/mia-14-42

Popoviciu, E., Teoreme de medie din analiza matematică şi legătura lor cu teoria interpolării, Editura Dacia, Cluj, 1972 (in Romanian).

Popoviciu, T., Les fonctions convexes, Herman, Paris, 1945.

Varošanec, S., On h-convexity, J. Math. Anal. Appl, 326, pp. 303-311, 2007. DOI: https://doi.org/10.1016/j.jmaa.2006.02.086

Youness, E. A., E-convex Sets, E-convex Functions, and E-convex Programming, Journal of Optimization Theory and Aplications, 102, no. 2, pp. 439-450, 1999. https://doi.org/10.1023/a:1021792726715 DOI: https://doi.org/10.1023/A:1021792726715

Youness, E. A. andEmam, T., Strongly E-convex Sets and Strongly E-convex Functions, Journal of Interdisciplinary Mathematics, 8, no. 1, pp. 107-117, 2005. https://doi.org/10.1080/09720502.2005.10700394 DOI: https://doi.org/10.1080/09720502.2005.10700394

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Published

2011-02-01

How to Cite

Marian, D. (2011). \(h\)-strongly \(E\)-convex functions. Rev. Anal. Numér. Théor. Approx., 40(1), 47–51. https://doi.org/10.33993/jnaat401-950

Issue

Vol. 40 No. 1 (2011)

Section

Articles

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