Abstract
We present a survey of the scientific results obtained by E. A. Storozhenko and related results of her disciples and give brief information about the seminar on the theory of functions held under her guidance.
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References
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E. A. Storozhenko and Yu. M. Shmandin, “On the rate of approximation by the (C, l)-means of orthogonal series,” Ukr. Mat. Zh., 22, No. 2, 244–275 (1970).
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E. A. Storozhenko, “Necessary and sufficient conditions for imbedding of some classes of functions,” Izv. Akad. Nauk SSSR, Ser. Mat., 37, 386–398 (1973).
E. A. Storozhenko, “Imbedding theorems and best approximations,” Mat. Sb., 97, No. 2, 230–241 (1975).
E. A. Storozhenko, “On imbedding theorems for the derivatives of one class of functions,” Mat. Zametki, 24, No. 1, 85–94(1978).
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E. A. Storozhenko and P. Oswald, “Jackson theorem in the space l p(R k), 0<p<p” Sib. Mat. Zh., 19, No. 4, 888–901 (1978).
E. A. Storozhenko, “Approximation of functions by splines of interpolation in the mean,” hv. Vyssh. Uchebn. Zaved., Ser. Mat., No. 12, 82–95 (1976).
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E. A. Storozhenko and Yu. V. Kryakin, “On Whitney theorems in the L p-metric, 0<p<∞,” Mat. Sb., 186, No. 3, 131–142 (1995).
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E. A. Storozhenko and P. Oswald, “Moduli of smoothness and best approximations in the space L p, 0<p<1,” Anal. Math., 3, No. 2. 141–150 (1977).
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E. A. Storozhenko, “On the local approximation by Abel-Poisson means in Hardy spaces,” Tr. Mat. Inst. Akad. Nauk SSSR, 180, 243–245 (1987).
E. A. Storozhenko. “On one method for approximation of functions from H p, 0<p≤1,” Mat. Zametki, 57, No. 4, 581–585 (1995).
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E. A. Storozhenko and S. Saprikin, “On some analogs of converse Bernstein inequalities in Lin0.” Funct. Approxim., 25, 111–119 (1997).
E. A. Storozhenko, “Some inequalities for polynomials in L 0-norm,” Recent Progr. Inequal, 499–503 (1988).
E. A. Storozhenko and V. G. Krotov. “Approximating and differential-difference properties of functions from the Hardy spaces H p, 0<≤1,” in: Proceedings oft he Saratov Winter School [in Russian] (1983), pp. 65–81.
E. A. Storozhenko and V. G. Krotov, “Differential-difference properties of boundary functions from H p,” in:Proceedings of the International Conference on the Theory of Approximation of Functions [in Russian], Kiev (1987), pp. 237–240.
E. A. Storozhenko and V. G. Krotov, “On the best approximations and derivatives of functions of Hardy classes,” in: Investigations on the Theory of Approximation of Functions [in Russian] (1987), pp. 201–215.
V. V. Arestov, “On integral inequalities for trigonometric polynomials and their derivatives,” Izv. Akad. Nauk SSSR, Ser. Mat., 41, No. 1, 3–22 (1981).
K. Mahler, “On the zeros of the derivative of a polynomial,” Proc. Roy. Soc. London, 264, 145–154 (1961).
E. A. Storozhenko “On one Mahler problem on the zeros of a polynomial and its derivative,” Mat. Sb., 187, No. 5, 111–120.
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Kashin, B.S., Korneichuk, N.P., Ul’yanov, P.L. et al. A brief survey of scientific results of E. A. Storozhenko. Ukr Math J 52, 531–542 (2000). https://doi.org/10.1007/BF02515395
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DOI: https://doi.org/10.1007/BF02515395