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- W4381512878 abstract "In this paper, the integral of classical fractal interpolation function (FIF) and A-fractal function is explored for both the cases of constant and variable scaling factors. The definite integral for the classical FIF in the closed interval of [Formula: see text] is estimated. The novel notion of affine-quadratic FIF is introduced and integrated for both constant and variable scaling factors. It is demonstrated that its integral is not an affine-quadratic FIF, however it is a FIF. Similarly, by choosing the vertical scaling factors as constants and variables, A-fractal function is integrated. Further, by assuming certain condition on the block matrix, it is shown that like the original A-fractal function its integral is also an attractor for the iterated function system." @default.
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- W4381512878 date "2023-06-21" @default.
- W4381512878 modified "2023-10-17" @default.
- W4381512878 title "ON THE CLASSICAL INTEGRAL OF FRACTAL FUNCTIONS" @default.
- W4381512878 doi "https://doi.org/10.1142/s0218348x23500573" @default.
- W4381512878 hasPublicationYear "2023" @default.
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