On Asymptotic Approximation by Some Positive Linear Operators - Brossura

Sinha, Santosh Kumar

 
9783659974281: On Asymptotic Approximation by Some Positive Linear Operators

Sinossi

Approximation theory is a study of selection of an element from a prescribed class of functions which is in some sense 'closer' to the given function with desired degree of accuracy. The problem of linear approximation can be described in the following way: Let C be the set of functions defined in the a fixed space A. If a function f on A is given ,can we find a linear combination P = a1ф1 + a2ф2 +.............+ anфn, фi Є C which is closed to the function f? Two preliminary problem arise ,we must select the set ф and also decide how the deviation of P from f should be measured in certain defined sense of norm.

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9783659974298: On Asymptotic Approximation by Some Positive Linear Operators

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ISBN 10:  3659974293 ISBN 13:  9783659974298
Casa editrice: LAP LAMBERT Academic Publishing, 2016
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