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Abstrakty
In this paper, a generalization of a result on the uniform best approximation of αcosnx+βsinnx by trigonometric polynomials of degree less than n is considered and its relationship with a well-known polynomial inequality of C. Visser is indicated.
Wydawca
Rocznik
Tom
Strony
43--48
Opis fizyczny
Bibliogr. 7 poz.
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autor
- Department of Mathematics Tuskegee University Tuskegee, AL 36088, U.S.A.
Bibliografia
- [1] N. I. Akhiezer, Theory of Approximation, Frederick Ungar, New York, 1956.
- [2] A. S. Besicovitch, Almost Periodic Functions, Dover Publ., 1954.
- [3] R. P. Boas, Jr., Entire Functions, Academic Press, New York, 1954.
- [4] J. G. van der Corput and C. Visser, Inequalities concerning polynomials and trigonometric polynomials, Indag. Math. 8 (1946), 238–247.
- [5] Q. I. Rahman, Inequalities concerning polynomials and trigonometric polynomials, J. Math. Anal. Appl. 6 (1963), 303–324.
- [6] Q. I. Rahman and G. Schmeisser, Analytic Theory of Polynomials, Clarendon Press, Oxford, 2002.
- [7] C. Visser, A simple proof of certain inequalities concerning polynomials, Indag. Math. 7 (1945), 81–86.
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Bibliografia
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bwmeta1.element.baztech-791536c5-0232-4024-bef4-173e54d7a853