A new approach for approximating generalized first derivative of nonsmooth functions
Publish Year: 1395
نوع سند: مقاله کنفرانسی
زبان: English
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شناسه ملی سند علمی:
MMSAS01_090
تاریخ نمایه سازی: 1 مرداد 1397
Abstract:
In this paper, we define an optimization problem corresponding to smooth and nonsmooth functions which its optimal solution is the first derivative of these functions in a domain. For this purpose, a linear programming problem corresponding to optimization problem is obtained. The optimal solution of this linear programming problem is the approximate generalized first derivative. In fact, we approximate generalized first derivative of nonsmooth functions as tailor series. We show the efficiency of our approach by some smooth and nonsmooth functions in some examples.
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Authors
M.M Mazarei
Department of Science, Bushehr Branch, Islamic Azad University, Bushehr, Iran.
A. A. Behroozpoor
Department of Science, Bushehr Branch, Islamic Azad University, Bushehr, Iran.