SMOOTHNESS AND FRACTIONAL INTEGRAL OF HIDDEN VARIABLE RECURRENT FRACTAL INTERPOLATION FUNCTION WITH FUNCTION VERTICAL SCALING FACTORS

Mi-Gyong Ri and Chol-Hui Yun ()
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Mi-Gyong Ri: Faculty of Mathematics, Kim Il Sung University, Pyongyang, Democratic People’s Republic of Korea
Chol-Hui Yun: Faculty of Mathematics, Kim Il Sung University, Pyongyang, Democratic People’s Republic of Korea

FRACTALS (fractals), 2021, vol. 29, issue 06, 1-17

Abstract: In this paper, we analyze the smoothness of hidden variable recurrent fractal interpolation function (HVRFIF) with function vertical scaling factors introduced in Yun [Hidden variable recurrent fractal interpolation function with four function contractivity factors, Fractals 27(7) (2019) 950113] and study on fractional integral of bivariable HVRFIF by using its smoothness. To do it, firstly, we analyze the smoothness of one variable HVRFIF and give the result of smoothness of bivariable HVRFIF. Next, we show that partial and mixed Riemann–Liouville fractional integrals of the bivariable HVRFIF are HVRFIFs.

Keywords: Recurrent Iterated Function System; Hidden Variable Fractal Interpolation Function; Smoothness; Fractional Integral (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1142/S0218348X2150136X

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