Abstract
A fractal interpolation function (FIF) is a special type of continuous function defined on a compact interval [Formula: see text] of [Formula: see text] which interpolates a certain data set and whose graph is of fractal nature. But an [Formula: see text]-fractal (interpolation) function is a special type of FIF which is a fractal analogue corresponding to any continuous function [Formula: see text] defined on the interval [Formula: see text]. In this paper, the definite integral of the [Formula: see text]-fractal function [Formula: see text] corresponding to any continuous function [Formula: see text] on the interval [Formula: see text] is estimated although there is no explicit form of [Formula: see text]-fractal function till now. Some results related to the definite integral of [Formula: see text] are established. Also, the flipped [Formula: see text]-fractal function [Formula: see text] corresponding to the continuous function [Formula: see text] is constructed and a result is proved that relates the definite integrals of the fractal functions [Formula: see text] and [Formula: see text].
Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
