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Mel’nik, Yu. I.

Inverse theorems for approximation of functions regular in convex polygons by exponential polynomials in the integral metric. (English. Russian original) Zbl 0681.30002

Ukr. Math. J. 40, No. 6, 633-638 (1988); translation from Ukr. Mat. Zh. 40, No. 6, 751-757 (1988).
See the review in Zbl 0671.30004.

MSC:

30B50 Dirichlet series, exponential series and other series in one complex variable

Keywords:

exponential polynomial

Citations:

Zbl 0671.30004
Cite Review PDF
Full Text: DOI

References:

[1] Yu. I. Mel’nik, ?Direct theorems of the approximation of functions regular in convex polygons by exponential polynomials in the integral metric,? Ukr. Mat. Zh.,40, No. 5, 584-591 (1988). · Zbl 0671.30004 · doi:10.1007/BF01056449
[2] V. K. Dzyadyk, Introduction to the Theory of Uniform Approximation of Functions by Polynomials [in Russian], Nauka, Moscow (1977). · Zbl 0481.41001
[3] A. F. Timan, Theory of Approximation of Functions of a Real Variable [in Russian], Fizmatgiz, Moscow (1960). · Zbl 0129.04202
[4] A. F. Leont’ev, Series-of Exponential Functions [in Russian], Nauka, Moscow (1976).
[5] Yu. I. Mel’nik, ?On representation of regular functions by Dirichlet series in closed convex polygons,? Ukr. Mat. Zh.,29, No. 6, 826-830 (1977).
[6] Yu. I. Mel’nik, ?On Dirichlet series of functions regular in convex polygons,? ”ibid.,32, No. 6, 837-843 (1980).
[7] A. M. Sedletskii, ?Bases of exponential functions in EP spaces on convex polygons,? Izv. Akad. Nauk SSSR, Ser. Mat.,42, No. 5, 1101-1119 (1978).
[8] V. M. Tikhomirov, Some Questions of Approximation Theory [in Russian], Moscow State Univ. (1976). · Zbl 0346.41004
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