Výsledky vyhledávání - "Zlobec, Sanjo"

It is shown that the Fermat extreme value theorem holds for functions with an alternative “derivative”. This approach yields nonstandard conditions for global extreme points.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=57a035e5b1ae::a143a7f84a5bc4c294802cd042514bd2
https://www.bib.irb.hr/549973

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On the Behaviour of Functions around Zero-Derivative Points

Autor: Zlobec, Sanjo

Zero-derivative points are of the fundamental importance in calculus and otimization. It has been recently shown that on intervals around zero-derivative points, and only around zero-derivative points, every smooth function with a Lipschitz derivativ

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=57a035e5b1ae::2c0759bc2c4441a53743b1c5e51b0989
https://www.bib.irb.hr/442376

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The fundamental theorem of calculus for Lipschitz functions

Autor: Zlobec, Sanjo

Publikováno v: Mathematical Communications
Volume 13
Issue 2

Every smooth function in several variables with a Lipschitz derivative, when considered on a compact convex set, is the difference of a convex function and a convex quadratic function. We use this result to decompose anti - derivatives of continuous

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::1db7100a4c6003c282e2953313816742
https://hrcak.srce.hr/file/48934

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