{"product_id":"a-study-on-coalescence-and-spline-fractal-interpolation-functions-von-arya-kumar-bedabrata-chand","title":"A STUDY ON COALESCENCE AND SPLINE FRACTAL INTERPOLATION FUNCTIONS","description":"\u003cp\u003eFractal Interpolation Functions (FIF) and hidden  variable FIF are used to approximate self-affine and  non-self-affine objects respectively. To  approximate, both type of data from a single IFS,  the construction of Coalescence FIF is introduced.  Their smoothness analysis is carried out through  operator approximation.  Results concerning on  fractal dimension, stability and integral moment  theory of Coalescence Affine FIFs are studied.  Coalescence Bivariate Fractal Interpolation  Surfaces (CBFIS) are developed in the present work  by defining suitable vector-valued IFS. The effects  of hidden variables on CBFIS and its roughness  factors are also studied. The generalized spline FIF  with any type of boundary conditions is introduced.  The existence and methods of construction through  moments and the convergence results of Cubic Spline  FIFs are initiated in the present work. Coalescence  Spline FIFs are introduced; their existence and  method of construction are derived. Finally,  Coalescence Cubic Spline FIFs are also constructed  here through moments and their convergence results  towards the original function are obtained.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783843361712\"\u003e\u003ch3\u003eHIDDEN VARIABLE BASED COALESCENCE FRACTAL INTERPOLATION FUNCTIONS AND GENERALIZED SPLINE FRACTAL INTERPOLATION FUNCTIONS\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783843361712","offer_id":39470079344733,"sku":"9783843361712","price":68.0,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/54deab22-e213-41a4-ac8e-f8a209556a80.jpg?v=1757913645","url":"https:\/\/shop.autorenwelt.de\/products\/a-study-on-coalescence-and-spline-fractal-interpolation-functions-von-arya-kumar-bedabrata-chand","provider":"Autorenwelt Shop","version":"1.0","type":"link"}