Open Access
VOL. 6 | 2005 Finding the Zeros of the Functions Treated by $q$-Calculus
Predrag M. Rajković, Sladjana D. Marinković, Miomir S. Stanković

Editor(s) Ivaïlo M. Mladenov, Allen C. Hirshfeld

Geom. Integrability & Quantization, 2005: 284-296 (2005) DOI: 10.7546/giq-6-2005-284-296


We construct $q$-Taylor formula for the functions of several variables and develop some new methods for solving equations and systems of equations. They are much easier for application than well known ones and very useful when the continuous function does not have fine smooth properties. Especially, we will demonstrate their power in solving the equations where the function is defined by some $q$-integral. We will discuss the convergence and accuracy of those methods and compare them with well known methods. The conclusions are illustrated by examples.


Published: 1 January 2005
First available in Project Euclid: 12 June 2015

zbMATH: 1087.33009
MathSciNet: MR2161775

Digital Object Identifier: 10.7546/giq-6-2005-284-296

Rights: Copyright © 2005 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences


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