A class of \(G\)-semipreinvex functions and optimality (Q1952773)
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scientific article; zbMATH DE number 6169853
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A class of \(G\)-semipreinvex functions and optimality |
scientific article; zbMATH DE number 6169853 |
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A class of \(G\)-semipreinvex functions and optimality (English)
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3 June 2013
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Summary: A class of \(G\)-semipreinvex functions, which are some generalizations of the semipreinvex functions, and the \(G\)-convex functions, is introduced. Examples are given to show their relations among \(G\)-semipreinvex functions, semipreinvex functions and \(G\)-convex functions. Some characterizations of \(G\)-semipreinvex functions are also obtained, and some optimality results are given for a class of \(G\)-semipreinvex functions. Our results improve and generalize some known results.
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\(G\)-convex functions
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optimality results
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