Applied Mathematics, Volume (2), No (10), Year (2011-10) , Pages (1252-1257)

Title : ( A New Definition for Generalized First Derivative of Nonsmooth Functions )

Authors: Ali Vahidian Kamyad , mohammad hadi noori skandari , Hamid Reza Erfanian ,

Citation: BibTeX | EndNote

Abstract

In this paper, we define a functional optimization problem corresponding to smooth functions which its optimal solution is first derivative of these functions in a domain. These functional optimization problems are applied for non-smooth functions which by solving these problems we obtain a kind of generalized first derivatives. For this purpose, a linear programming problem corresponding functional optimization problem is obtained which their optimal solutions give the approximate generalized first derivative. We show the efficiency of our approach by obtaining derivative and generalized derivative of some smooth and nonsmooth functions respectively in some illustrative examples.

Keywords

, Generalized Derivative, Smooth and Nonsmooth Functions, Fourier analysis, Linear Programming, Functional Optimization
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@article{paperid:1024189,
author = {Vahidian Kamyad, Ali and Noori Skandari, Mohammad Hadi and Erfanian, Hamid Reza},
title = {A New Definition for Generalized First Derivative of Nonsmooth Functions},
journal = {Applied Mathematics},
year = {2011},
volume = {2},
number = {10},
month = {October},
issn = {2152-7385},
pages = {1252--1257},
numpages = {5},
keywords = {Generalized Derivative; Smooth and Nonsmooth Functions; Fourier analysis; Linear Programming; Functional Optimization},
}

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%0 Journal Article
%T A New Definition for Generalized First Derivative of Nonsmooth Functions
%A Vahidian Kamyad, Ali
%A Noori Skandari, Mohammad Hadi
%A Erfanian, Hamid Reza
%J Applied Mathematics
%@ 2152-7385
%D 2011

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