doi:10.1134/S1995423921020014engJha S.Chand A.K.B.Navascues M.A.Generalized bivariate hermite fractal interpolation functionART-2021-126646Abstract: Fractal interpolation provides an efficient way to describe a smooth or non-smooth structure associated with nature and scientific data. The aim of this paper is to introduce a bivariate Hermite fractal interpolation formula that generalizes the classical Hermite interpolation formula for two variables. It is shown here that the proposed Hermite fractal interpolation function and its derivatives of all orders are good approximations of original function even if the partial derivatives of original function are non-smooth in nature. © 2021, Pleiades Publishing, Ltd.2021http://zaguan.unizar.es/record/11813910.1134/S1995423921020014http://zaguan.unizar.es/record/118139oai:zaguan.unizar.es:118139Numerical Analysis and Applications 14, 2 (2021), 103-114All rights reservedhttp://www.europeana.eu/rights/rr-f/info:eu-repo/semantics/openAccess