Shape-Preserving Positive Trigonometric Spline Curves

Textile dye degradation potential of plant laccase significantly enhances upon augmentation with redox mediators

“…Redox mediators speed up the reaction rate by shuttling electrons from biological oxidation of primary electron donors or from bulk electron donors to the electron-accepting organic compounds. 30 A mediator goes through many oxidation reduction cycles. Oxidized form of the mediator further gets reduced because of the oxidation of dye substrates.…”

“…The decolorization of Remazol Brilliant Blue R by a commercial laccase formulation with a nonionic surfactant as the redox mediator was also reported. 30 3.9. Degradation analysis of BBR HPLC analysis was performed in order to conrm the degradation of the BBR.…”

Monotone Data Modelling Using Rational Cubic Fractal Interpolation Function

“…Based on different approaches (such as classical spline, spline with knots, and fractal spline) various monotonicity-preserving models for monotone data have been discussed in the previous literature [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18]. Spline functions have also been used for the solution of partial differential equations [19,20].…”

Monotone data modeling using rational functions

“…Spline interpolating rational functions are very helpful in the envisioning of shaped data because they furnish smooth and captivating views of the data under consideration. Much notable work has been done previously to overcome this difficulty [1][2][3][4][5][6][7][8][9][10]. Kvasov [3] created an algorithm for interpolation by means of weighted cubic spline functions that keep the monotone and convex shape of discrete sets of data.…”