Functional equations, part-II

Das, Shuborno (2018) Functional equations, part-II. At Right Angles, 7 (3). pp. 5-10. ISSN 2582-1873

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Abstract

In Part 1, I explained the different techniques to solve functional equations. In most cases, the steps to solve them are similar to those in solving algebraic equations. However there is one scenario where using the algebraic method to solve a functional equation may lead to an incomplete solution; i.e., only a subset of functions that solve the FE may be identified and not the complete list. This error is known as pointwise trap. In Part II of the two-part article on functional equations, we discuss the notion of pointwise trap and learn different ways to overcome it.

Item Type: Articles in APF Magazines
Authors: Das, Shuborno
Document Language:
Language
English
Uncontrolled Keywords: Functional equation, Function, Domain, Range, Injective, Surjective, Even, Odd, Continuous, Pointwise trap, Solution
Subjects: Natural Sciences > Mathematics
Divisions: Azim Premji University > University Publications > At Right Angles
Full Text Status: Public
URI: http://publications.azimpremjifoundation.org/id/eprint/3151
Publisher URL:

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