Closeness of Functions. Approximation in the Mean. Fourier Expansions

  • J. L. Nowinski
Part of the Mathematical Concepts and Methods in Science and Engineering book series (MCSENG, volume 22)


It is well known that most problems of applied mechanics either cannot be solved rigorously, or the effort to obtain such solutions is too great to justify the work expended. Under these circumstances, there is no choice but to employ methods leading to approximate solutions. The question then arises concerning the evaluation of the accuracy of an approximate solution, that is, the closeness of the approximating function-vector to the exact solution-vector.


Fourier Coefficient Fourier Expansion Orthonormal System Orthonormal Function Generalize Fourier Series 
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Copyright information

© Plenum Press, New York 1981

Authors and Affiliations

  • J. L. Nowinski
    • 1
  1. 1.University of DelawareNewarkUSA

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