in this study, a relationship between scanner response (rgb) and cie tristimulus values (xyz) is established by regression technique with different polynomials for colored polyester fabrics. the results showed that the transformation process is material dependent and higher order polynomials will fit the experimental data better than lower polynomials. the results also showed that the way the c...

Abstract In order to obtain the estimated value of continuous motion lower limbs human body (abbreviated as CMLLHB) and realize better human-machine collaborative control effect exoskeleton robot, a method for estimating amount CMLLHB based on sEMG high-order polynomials is proposed. Extract form 5 feature parameter matrices 8 channels signals, establish polynomial-based CMLLHB, CMLLHB. Through...

This paper is devoted to proposing numerical algorithms based on the use of tau and collocation procedures, two widely used spectral approaches for treatment initial high-order linear non-linear equations singular type, especially those Emden–Fowler type. The class modified Chebyshev polynomials third-kind constructed. generalizes polynomials. A new formula that expresses first-order derivative...

A new method of evaluating overlap integrals involving orthogonal polynomials is proposed. The technique relies on purely algebraic manipulation of the associated recurrence coefficients. For a large class of polynomials and for sufficiently large orders, these coefficients can be written explicitly as Taylor series in terms of powers of = 1/n, where n is the polynomial order. Such decompositio...

in this paper, we introduce a family of fractional-order chebyshev functions based on the classical chebyshev polynomials. we calculate and derive the operational matrix of derivative of fractional order $gamma$ in the caputo sense using the fractional-order chebyshev functions. this matrix yields to low computational cost of numerical solution of fractional order differential equations to the ...

A new formula expressing explicitly the derivatives of Bernstein polynomials of any degree and for any order in terms of Bernstein polynomials themselves is proved, and a formula expressing the Bernstein coefficients of the general-order derivative of a differentiable function in terms of its Bernstein coefficients is deduced. An application of how to use Bernstein polynomials for solving high ...