Strongly log-biconvex Functions and Applications
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.
2020 ◽
Vol 9
(2)
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pp. 383-398
2020 ◽
Vol 187
(1)
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pp. 105-132
2008 ◽
Vol 48
(7-8)
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pp. 1201-1212
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2007 ◽
Vol 24
(06)
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pp. 741-754
2008 ◽
Vol 6
(3)
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pp. 453-468
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