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Thus the above approximation of function is not suitable.
For example, when the independent variable is smaller and far away from, an approximation of function is derived from the Maclaurin series: (13).
Some proper properties of the hybrid basis consisting of the block-pulse functions and Legendre polynomials, and approximation of function by these basis are presented in Sect. 4. The relevant operational matrix is obtained in Sect.
The approximation of function f ˜, conjugate to a periodic function f ∈ W ( L r, ξ ( t ) ) ( r ≥ 1 ) using product ( C 1 ⋅ N p ) -summability has not been studied so far.
Indeed it has been demonstrated that the use of the Sinc method in cooperation with the DE transformation gives highly efficient numerical methods for approximation of function, indefinite numerical integration, and solution of differential equations [14].
In this paper, we obtain a new theorem on the degree of approximation of function f ˜, conjugate to a periodic function f ∈ W ( L r, ξ ( t ) ) -class using semi-monotonicity on the generating sequence { p n } and a proper set of the conditions.
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His important work on the approximation of functions by means of Chebyshev polynomials advanced applied mathematics.
Lastly, we discuss the rate of approximation of functions having derivatives of bounded variations.
Lastly, we find the rate of approximation of functions having a derivative of bounded variation.
This has motivated us to work on the degree of approximation of functions in Besov spaces.
The approximation of functions with derivatives of bounded variation has been studied.
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