Application of Derived Numbers Theory in Convex Analysis
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Alferov, Gennady
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St Petersburg State Univ, Univ Skaya Nab 7-9, St Petersburg 199034, RussiaSt Petersburg State Univ, Univ Skaya Nab 7-9, St Petersburg 199034, Russia
Alferov, Gennady
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Ivanov, Gennady
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St Petersburg State Univ, Univ Skaya Nab 7-9, St Petersburg 199034, RussiaSt Petersburg State Univ, Univ Skaya Nab 7-9, St Petersburg 199034, Russia
Ivanov, Gennady
[1
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Sharlay, Artem
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St Petersburg State Univ, Univ Skaya Nab 7-9, St Petersburg 199034, RussiaSt Petersburg State Univ, Univ Skaya Nab 7-9, St Petersburg 199034, Russia
Sharlay, Artem
[1
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Fedorov, Viktor
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St Petersburg State Univ, Univ Skaya Nab 7-9, St Petersburg 199034, RussiaSt Petersburg State Univ, Univ Skaya Nab 7-9, St Petersburg 199034, Russia
Fedorov, Viktor
[1
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机构:
[1] St Petersburg State Univ, Univ Skaya Nab 7-9, St Petersburg 199034, Russia
The Fermat, Roll and Lagrange theorems are generalized into the class of nondifferentiable functions, the necessary and sufficient conditions for monotonicity and convexity of one variable functions are given.