On Best Simultaneous Approximation

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Authors

  • A. S. B. Holland
     Department of Mathematics, Statistics and Computing Science, University of Calgary, Calgary ,AL
  • B. N. Sahney
     Summer Research Institute at the Laval University ,CA
  • J. Tzimbalario
     Summer Research Institute at Calgary ,CA

Abstract

Diaz and McLaughlin [1], [2] and Dunham [4] have considered the problem of simultaneous approximation of the following case: X=C [a,b], K a non-empty subset of X and F={f1,f2}. Goel, Holland, Nasim and Sahney [5], [6] studied the problem of X a normed linear space, K a subset and F = {f1 f2}.

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Published

1976-12-01

How to Cite

Holland, A. S. B., Sahney, B. N., & Tzimbalario, J. (1976). On Best Simultaneous Approximation. The Journal of the Indian Mathematical Society, 40(1-4), 69–73. Retrieved from https://www.informaticsjournals.com/index.php/jims/article/view/16614

Issue

Volume 40, Issue 1-4, March-December 1976

Section

Articles

License

Copyright (c) 1976 A. S. B. Holland, B. N. Sahney, J. Tzimbalario

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

 

References

DIAZ, J.B. and H.W. MCLAUGHLIN: On simultaneous Chebysev approximation and Chebysev approximation with additive weight function. /. App. Theory 6 (1972), 68-71.

DIAZ, J.B. and H.W. MCLAUGHLIN: Simultaneous approximation of a set of bounded functions. Math. Comp. 23 (1969), 583-594.

DUNFORD, N. and J. SCHWARTZ: Linear operators. Interscience Publishers, New York, 1960.

DUNHAM, C. B.: Simultaneous Chebysev approximation of functions on an interval. Proc. Amer. Math. Soc. 18 (1967), 472-477.

GOEL, D.S., A.S.B. HOLLAND, C. NASIM and B.N. SAHNEY: On best simultaneous approximation in normed linear spaces, Canadian Mathematical Bulletin 17(4) (1974), 523-527.

GOELD.S., A.S.B. HOLLAND, C. NASIM and B.N. SAHNEY: Characterization of an element of best Iv-simultaneous approximation. S. Ramanujan Memorial Volume Madras, 1974, 10-14.