Evolution of the Minimax Inequality of Ky Fan | Zendy

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Evolution of the Minimax Inequality of Ky Fan

Author(s) -

Sehie Park

Publication year - 2013

Publication title -

journal of operators

Language(s) - English

Resource type - Journals

eISSN - 2314-5064

pISSN - 2314-5072

DOI - 10.1155/2013/124962

Subject(s) - minimax , inequality , mathematics , mathematical economics , ky fan inequality , log sum inequality , bernoulli's inequality , order (exchange) , kantorovich inequality , rearrangement inequality , linear inequality , economics , mathematical analysis , finance

There are quite a few generalizations or applications of the 1984 minimaxinequality of Ky Fan compared with his original 1972 minimax inequality. In a certainsense, the relationship between the 1984 inequality and several hundreds of known generalizationsof the original 1972 inequality has not been recognized for a long period. Hence,it would be necessary to seek such relationship. In this paper, we give several generalizationsof the 1984 inequality and some known applications in order to clarify the closerelationship among them. Some new types of minimax inequalities are added

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