Strongly log-biconvex Functions and Applications

  • Muhammad Aslam Noor Mathematics Department, COMSATS University Islamabad, Islamabad, Pakistan
  • Khalida Inayat Noor Mathematics Department, COMSATS University Islamabad, Islamabad, Pakistan
Keywords: biconvex functions, global minimum, log-biconvex functions, variational inequalities

Abstract

In this paper, we consider some new classes of log-biconvex functions. Several properties of the log-biconvex functions are studied. We also discuss their relations with convex functions. Several interesting results characterizing the log-biconvex functions are obtained. New parallelogram laws are obtained as applications of the strongly log-biconvex functions. Optimality conditions of differentiable strongly log-biconvex  are characterized by a class of bivariational inequalities. Results obtained in this paper can be viewed as significant improvement of previously known results.

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Published
2021-05-22
How to Cite
Noor, M. A., & Noor, K. I. (2021). Strongly log-biconvex Functions and Applications. Earthline Journal of Mathematical Sciences, 7(1), 1-23. https://doi.org/10.34198/ejms.7121.123
Section
Articles

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