Title : ( A New Approach for the Generalized First Derivative and Extension It to the Generalized Second Derivative of Nonsmooth Functions )
Authors: Hamid Reza Erfanian , mohammad hadi noori skandari , Ali Vahidian Kamyad ,
Full TextAbstract
In this paper, first derivative of smooth function is defined by the optimal solution of a special optimization problem. In the next step, by using this optimization problem for nonsmooth function, we obtain an approximation for first derivative of nonsmooth function which it is called generalized first derivative. We then extend it to define generalized second derivative for nonsmooth function. Finally, we show the efficiency of our approach by evaluating derivative and generalized first and second derivative of some smooth and nonsmooth functions, respectively.
Keywords
, Generalized Derivative, Smooth and Nonsmooth Functions, Linear Programming, Optimization
@article{paperid:1034508,
author = {Erfanian, Hamid Reza and Noori Skandari, Mohammad Hadi and Vahidian Kamyad, Ali},
title = {A New Approach for the Generalized First Derivative and Extension It to the Generalized Second Derivative of Nonsmooth Functions},
journal = {International Journal of Intelligent Systems and Applications},
year = {2013},
volume = {5},
number = {4},
month = {January},
issn = {2074-904X},
pages = {100--107},
numpages = {7},
keywords = {Generalized Derivative; Smooth and Nonsmooth Functions; Linear Programming; Optimization},
}
%0 Journal Article
%T A New Approach for the Generalized First Derivative and Extension It to the Generalized Second Derivative of Nonsmooth Functions
%A Erfanian, Hamid Reza
%A Noori Skandari, Mohammad Hadi
%A Vahidian Kamyad, Ali
%J International Journal of Intelligent Systems and Applications
%@ 2074-904X
%D 2013
